Row-strict dual immaculate functions

We define a new basis of quasisymmetric functions, the row-strict dual immaculate functions, as the generating function of a particular set of tableaux. We show that this definition gives a function that can also be obtained by applying the involution ψ to the dual immaculate functions of Berg, Berg...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Niese, Elizabeth [verfasserIn] Sundaram, Sheila [verfasserIn] van Willigenburg, Stephanie [verfasserIn] Vega, Julianne [verfasserIn] Wang, Shiyun [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Composition Creation operator Dual immaculate function Hook Schur function Hopf algebra Pieri rule Quasisymmetric function Schur function Skew Schur function Tableau combinatorics

Übergeordnetes Werk:	Enthalten in: Advances in applied mathematics - Amsterdam [u.a.] : Elsevier, 1980, 149
Übergeordnetes Werk:	volume:149

DOI / URN:	10.1016/j.aam.2023.102540

Katalog-ID:	ELV010276068

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520			\|a We define a new basis of quasisymmetric functions, the row-strict dual immaculate functions, as the generating function of a particular set of tableaux. We show that this definition gives a function that can also be obtained by applying the involution ψ to the dual immaculate functions of Berg, Bergeron, Saliola, Serrano, and Zabrocki (2014), and we establish numerous combinatorial properties for our functions. We give an equivalent formulation of our functions via Bernstein-like operators, in a similar fashion to Berg et al. (2014). We conclude the paper by defining skew dual immaculate functions and hook dual immaculate functions, and establishing combinatorial properties for them.
650		4	\|a Composition
650		4	\|a Creation operator
650		4	\|a Dual immaculate function
650		4	\|a Hook Schur function
650		4	\|a Hopf algebra
650		4	\|a Pieri rule
650		4	\|a Quasisymmetric function
650		4	\|a Schur function
650		4	\|a Skew Schur function
650		4	\|a Tableau combinatorics
700	1		\|a Sundaram, Sheila \|e verfasserin \|4 aut
700	1		\|a van Willigenburg, Stephanie \|e verfasserin \|4 aut
700	1		\|a Vega, Julianne \|e verfasserin \|4 aut
700	1		\|a Wang, Shiyun \|e verfasserin \|4 aut
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matchkey_str	nieseelizabethsundaramsheilavanwilligenb:2023----:osrcdaimcltf
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allfields	10.1016/j.aam.2023.102540 doi (DE-627)ELV010276068 (ELSEVIER)S0196-8858(23)00058-1 DE-627 ger DE-627 rda eng 510 VZ 31.80 bkl 31.00 bkl Niese, Elizabeth verfasserin (orcid)0000-0003-3596-5630 aut Row-strict dual immaculate functions 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We define a new basis of quasisymmetric functions, the row-strict dual immaculate functions, as the generating function of a particular set of tableaux. We show that this definition gives a function that can also be obtained by applying the involution ψ to the dual immaculate functions of Berg, Bergeron, Saliola, Serrano, and Zabrocki (2014), and we establish numerous combinatorial properties for our functions. We give an equivalent formulation of our functions via Bernstein-like operators, in a similar fashion to Berg et al. (2014). We conclude the paper by defining skew dual immaculate functions and hook dual immaculate functions, and establishing combinatorial properties for them. Composition Creation operator Dual immaculate function Hook Schur function Hopf algebra Pieri rule Quasisymmetric function Schur function Skew Schur function Tableau combinatorics Sundaram, Sheila verfasserin aut van Willigenburg, Stephanie verfasserin aut Vega, Julianne verfasserin aut Wang, Shiyun verfasserin aut Enthalten in Advances in applied mathematics Amsterdam [u.a.] : Elsevier, 1980 149 Online-Ressource (DE-627)25378011X (DE-600)1460437-1 (DE-576)104082003 nnns volume:149 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2014 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2056 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.80 Angewandte Mathematik VZ 31.00 Mathematik: Allgemeines VZ AR 149
spelling	10.1016/j.aam.2023.102540 doi (DE-627)ELV010276068 (ELSEVIER)S0196-8858(23)00058-1 DE-627 ger DE-627 rda eng 510 VZ 31.80 bkl 31.00 bkl Niese, Elizabeth verfasserin (orcid)0000-0003-3596-5630 aut Row-strict dual immaculate functions 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We define a new basis of quasisymmetric functions, the row-strict dual immaculate functions, as the generating function of a particular set of tableaux. We show that this definition gives a function that can also be obtained by applying the involution ψ to the dual immaculate functions of Berg, Bergeron, Saliola, Serrano, and Zabrocki (2014), and we establish numerous combinatorial properties for our functions. We give an equivalent formulation of our functions via Bernstein-like operators, in a similar fashion to Berg et al. (2014). We conclude the paper by defining skew dual immaculate functions and hook dual immaculate functions, and establishing combinatorial properties for them. Composition Creation operator Dual immaculate function Hook Schur function Hopf algebra Pieri rule Quasisymmetric function Schur function Skew Schur function Tableau combinatorics Sundaram, Sheila verfasserin aut van Willigenburg, Stephanie verfasserin aut Vega, Julianne verfasserin aut Wang, Shiyun verfasserin aut Enthalten in Advances in applied mathematics Amsterdam [u.a.] : Elsevier, 1980 149 Online-Ressource (DE-627)25378011X (DE-600)1460437-1 (DE-576)104082003 nnns volume:149 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2014 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2056 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.80 Angewandte Mathematik VZ 31.00 Mathematik: Allgemeines VZ AR 149
allfields_unstemmed	10.1016/j.aam.2023.102540 doi (DE-627)ELV010276068 (ELSEVIER)S0196-8858(23)00058-1 DE-627 ger DE-627 rda eng 510 VZ 31.80 bkl 31.00 bkl Niese, Elizabeth verfasserin (orcid)0000-0003-3596-5630 aut Row-strict dual immaculate functions 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We define a new basis of quasisymmetric functions, the row-strict dual immaculate functions, as the generating function of a particular set of tableaux. We show that this definition gives a function that can also be obtained by applying the involution ψ to the dual immaculate functions of Berg, Bergeron, Saliola, Serrano, and Zabrocki (2014), and we establish numerous combinatorial properties for our functions. We give an equivalent formulation of our functions via Bernstein-like operators, in a similar fashion to Berg et al. (2014). We conclude the paper by defining skew dual immaculate functions and hook dual immaculate functions, and establishing combinatorial properties for them. Composition Creation operator Dual immaculate function Hook Schur function Hopf algebra Pieri rule Quasisymmetric function Schur function Skew Schur function Tableau combinatorics Sundaram, Sheila verfasserin aut van Willigenburg, Stephanie verfasserin aut Vega, Julianne verfasserin aut Wang, Shiyun verfasserin aut Enthalten in Advances in applied mathematics Amsterdam [u.a.] : Elsevier, 1980 149 Online-Ressource (DE-627)25378011X (DE-600)1460437-1 (DE-576)104082003 nnns volume:149 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2014 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2056 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.80 Angewandte Mathematik VZ 31.00 Mathematik: Allgemeines VZ AR 149
allfieldsGer	10.1016/j.aam.2023.102540 doi (DE-627)ELV010276068 (ELSEVIER)S0196-8858(23)00058-1 DE-627 ger DE-627 rda eng 510 VZ 31.80 bkl 31.00 bkl Niese, Elizabeth verfasserin (orcid)0000-0003-3596-5630 aut Row-strict dual immaculate functions 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We define a new basis of quasisymmetric functions, the row-strict dual immaculate functions, as the generating function of a particular set of tableaux. We show that this definition gives a function that can also be obtained by applying the involution ψ to the dual immaculate functions of Berg, Bergeron, Saliola, Serrano, and Zabrocki (2014), and we establish numerous combinatorial properties for our functions. We give an equivalent formulation of our functions via Bernstein-like operators, in a similar fashion to Berg et al. (2014). We conclude the paper by defining skew dual immaculate functions and hook dual immaculate functions, and establishing combinatorial properties for them. Composition Creation operator Dual immaculate function Hook Schur function Hopf algebra Pieri rule Quasisymmetric function Schur function Skew Schur function Tableau combinatorics Sundaram, Sheila verfasserin aut van Willigenburg, Stephanie verfasserin aut Vega, Julianne verfasserin aut Wang, Shiyun verfasserin aut Enthalten in Advances in applied mathematics Amsterdam [u.a.] : Elsevier, 1980 149 Online-Ressource (DE-627)25378011X (DE-600)1460437-1 (DE-576)104082003 nnns volume:149 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2014 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2056 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.80 Angewandte Mathematik VZ 31.00 Mathematik: Allgemeines VZ AR 149
allfieldsSound	10.1016/j.aam.2023.102540 doi (DE-627)ELV010276068 (ELSEVIER)S0196-8858(23)00058-1 DE-627 ger DE-627 rda eng 510 VZ 31.80 bkl 31.00 bkl Niese, Elizabeth verfasserin (orcid)0000-0003-3596-5630 aut Row-strict dual immaculate functions 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We define a new basis of quasisymmetric functions, the row-strict dual immaculate functions, as the generating function of a particular set of tableaux. We show that this definition gives a function that can also be obtained by applying the involution ψ to the dual immaculate functions of Berg, Bergeron, Saliola, Serrano, and Zabrocki (2014), and we establish numerous combinatorial properties for our functions. We give an equivalent formulation of our functions via Bernstein-like operators, in a similar fashion to Berg et al. (2014). We conclude the paper by defining skew dual immaculate functions and hook dual immaculate functions, and establishing combinatorial properties for them. Composition Creation operator Dual immaculate function Hook Schur function Hopf algebra Pieri rule Quasisymmetric function Schur function Skew Schur function Tableau combinatorics Sundaram, Sheila verfasserin aut van Willigenburg, Stephanie verfasserin aut Vega, Julianne verfasserin aut Wang, Shiyun verfasserin aut Enthalten in Advances in applied mathematics Amsterdam [u.a.] : Elsevier, 1980 149 Online-Ressource (DE-627)25378011X (DE-600)1460437-1 (DE-576)104082003 nnns volume:149 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2014 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2056 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.80 Angewandte Mathematik VZ 31.00 Mathematik: Allgemeines VZ AR 149
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source	Enthalten in Advances in applied mathematics 149 volume:149
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topic_facet	Composition Creation operator Dual immaculate function Hook Schur function Hopf algebra Pieri rule Quasisymmetric function Schur function Skew Schur function Tableau combinatorics
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author	Niese, Elizabeth
spellingShingle	Niese, Elizabeth ddc 510 bkl 31.80 bkl 31.00 misc Composition misc Creation operator misc Dual immaculate function misc Hook Schur function misc Hopf algebra misc Pieri rule misc Quasisymmetric function misc Schur function misc Skew Schur function misc Tableau combinatorics Row-strict dual immaculate functions
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topic_title	510 VZ 31.80 bkl 31.00 bkl Row-strict dual immaculate functions Composition Creation operator Dual immaculate function Hook Schur function Hopf algebra Pieri rule Quasisymmetric function Schur function Skew Schur function Tableau combinatorics
topic	ddc 510 bkl 31.80 bkl 31.00 misc Composition misc Creation operator misc Dual immaculate function misc Hook Schur function misc Hopf algebra misc Pieri rule misc Quasisymmetric function misc Schur function misc Skew Schur function misc Tableau combinatorics
topic_unstemmed	ddc 510 bkl 31.80 bkl 31.00 misc Composition misc Creation operator misc Dual immaculate function misc Hook Schur function misc Hopf algebra misc Pieri rule misc Quasisymmetric function misc Schur function misc Skew Schur function misc Tableau combinatorics
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title	Row-strict dual immaculate functions
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title_full	Row-strict dual immaculate functions
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title_sort	row-strict dual immaculate functions
title_auth	Row-strict dual immaculate functions
abstract	We define a new basis of quasisymmetric functions, the row-strict dual immaculate functions, as the generating function of a particular set of tableaux. We show that this definition gives a function that can also be obtained by applying the involution ψ to the dual immaculate functions of Berg, Bergeron, Saliola, Serrano, and Zabrocki (2014), and we establish numerous combinatorial properties for our functions. We give an equivalent formulation of our functions via Bernstein-like operators, in a similar fashion to Berg et al. (2014). We conclude the paper by defining skew dual immaculate functions and hook dual immaculate functions, and establishing combinatorial properties for them.
abstractGer	We define a new basis of quasisymmetric functions, the row-strict dual immaculate functions, as the generating function of a particular set of tableaux. We show that this definition gives a function that can also be obtained by applying the involution ψ to the dual immaculate functions of Berg, Bergeron, Saliola, Serrano, and Zabrocki (2014), and we establish numerous combinatorial properties for our functions. We give an equivalent formulation of our functions via Bernstein-like operators, in a similar fashion to Berg et al. (2014). We conclude the paper by defining skew dual immaculate functions and hook dual immaculate functions, and establishing combinatorial properties for them.
abstract_unstemmed	We define a new basis of quasisymmetric functions, the row-strict dual immaculate functions, as the generating function of a particular set of tableaux. We show that this definition gives a function that can also be obtained by applying the involution ψ to the dual immaculate functions of Berg, Bergeron, Saliola, Serrano, and Zabrocki (2014), and we establish numerous combinatorial properties for our functions. We give an equivalent formulation of our functions via Bernstein-like operators, in a similar fashion to Berg et al. (2014). We conclude the paper by defining skew dual immaculate functions and hook dual immaculate functions, and establishing combinatorial properties for them.
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title_short	Row-strict dual immaculate functions
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author2	Sundaram, Sheila van Willigenburg, Stephanie Vega, Julianne Wang, Shiyun
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up_date	2024-07-06T17:25:54.751Z
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We show that this definition gives a function that can also be obtained by applying the involution ψ to the dual immaculate functions of Berg, Bergeron, Saliola, Serrano, and Zabrocki (2014), and we establish numerous combinatorial properties for our functions. We give an equivalent formulation of our functions via Bernstein-like operators, in a similar fashion to Berg et al. (2014). 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