Trigonometric Dynamical r-Matrices Over Poisson Lie Base
Abstract Let $$\cal{g}$$ be a finite dimensional complex Lie algebra and $$\cal{l} \subset \cal{g}$$ a Lie subalgebra equipped with the structure of a factorizable quasitriangular Lie bialgebra. Consider the Lie group Exp $$\cal{l}$$ with the Semenov-Tjan-Shansky Poisson bracket as a Poisson Lie man...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Mudrov, A. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2005 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer 2005 |
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| Übergeordnetes Werk: |
Enthalten in: Letters in mathematical physics - Kluwer Academic Publishers, 1975, 71(2005), 1 vom: Jan., Seite 63-73 |
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| Übergeordnetes Werk: |
volume:71 ; year:2005 ; number:1 ; month:01 ; pages:63-73 |
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| DOI / URN: |
10.1007/s11005-004-5924-5 |
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OLC2075480788 |
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| 520 | |a Abstract Let $$\cal{g}$$ be a finite dimensional complex Lie algebra and $$\cal{l} \subset \cal{g}$$ a Lie subalgebra equipped with the structure of a factorizable quasitriangular Lie bialgebra. Consider the Lie group Exp $$\cal{l}$$ with the Semenov-Tjan-Shansky Poisson bracket as a Poisson Lie manifold for the double Lie bialgebra $$\cal{D}\cal{l}$$ . Let $$\cal{N}_{\cal{l}}(0) \subset \cal{l}$$ be an open domain parameterizing a neighborhood of the identity in Exp $$\cal{l}$$ by the exponential map. We present dynamical r-matrices with values in $$\cal{g}\wedge \cal{g}$$ over the Poisson Lie base manifold $$\cal{N}_{\cal{l}}(0)$$. | ||
| 650 | 4 | |a Dynamical Yang–Baxter equation | |
| 650 | 4 | |a Poisson Lie groups | |
| 650 | 4 | |a Poisson Lie manifolds | |
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10.1007/s11005-004-5924-5 doi (DE-627)OLC2075480788 (DE-He213)s11005-004-5924-5-p DE-627 ger DE-627 rakwb eng 530 VZ Mudrov, A. verfasserin aut Trigonometric Dynamical r-Matrices Over Poisson Lie Base 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer 2005 Abstract Let $$\cal{g}$$ be a finite dimensional complex Lie algebra and $$\cal{l} \subset \cal{g}$$ a Lie subalgebra equipped with the structure of a factorizable quasitriangular Lie bialgebra. Consider the Lie group Exp $$\cal{l}$$ with the Semenov-Tjan-Shansky Poisson bracket as a Poisson Lie manifold for the double Lie bialgebra $$\cal{D}\cal{l}$$ . Let $$\cal{N}_{\cal{l}}(0) \subset \cal{l}$$ be an open domain parameterizing a neighborhood of the identity in Exp $$\cal{l}$$ by the exponential map. We present dynamical r-matrices with values in $$\cal{g}\wedge \cal{g}$$ over the Poisson Lie base manifold $$\cal{N}_{\cal{l}}(0)$$. Dynamical Yang–Baxter equation Poisson Lie groups Poisson Lie manifolds Enthalten in Letters in mathematical physics Kluwer Academic Publishers, 1975 71(2005), 1 vom: Jan., Seite 63-73 (DE-627)129436666 (DE-600)193974-9 (DE-576)014807467 0377-9017 nnns volume:71 year:2005 number:1 month:01 pages:63-73 https://doi.org/10.1007/s11005-004-5924-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_20 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_285 GBV_ILN_2004 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4310 GBV_ILN_4318 AR 71 2005 1 01 63-73 |
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10.1007/s11005-004-5924-5 doi (DE-627)OLC2075480788 (DE-He213)s11005-004-5924-5-p DE-627 ger DE-627 rakwb eng 530 VZ Mudrov, A. verfasserin aut Trigonometric Dynamical r-Matrices Over Poisson Lie Base 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer 2005 Abstract Let $$\cal{g}$$ be a finite dimensional complex Lie algebra and $$\cal{l} \subset \cal{g}$$ a Lie subalgebra equipped with the structure of a factorizable quasitriangular Lie bialgebra. Consider the Lie group Exp $$\cal{l}$$ with the Semenov-Tjan-Shansky Poisson bracket as a Poisson Lie manifold for the double Lie bialgebra $$\cal{D}\cal{l}$$ . Let $$\cal{N}_{\cal{l}}(0) \subset \cal{l}$$ be an open domain parameterizing a neighborhood of the identity in Exp $$\cal{l}$$ by the exponential map. We present dynamical r-matrices with values in $$\cal{g}\wedge \cal{g}$$ over the Poisson Lie base manifold $$\cal{N}_{\cal{l}}(0)$$. Dynamical Yang–Baxter equation Poisson Lie groups Poisson Lie manifolds Enthalten in Letters in mathematical physics Kluwer Academic Publishers, 1975 71(2005), 1 vom: Jan., Seite 63-73 (DE-627)129436666 (DE-600)193974-9 (DE-576)014807467 0377-9017 nnns volume:71 year:2005 number:1 month:01 pages:63-73 https://doi.org/10.1007/s11005-004-5924-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_20 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_285 GBV_ILN_2004 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4310 GBV_ILN_4318 AR 71 2005 1 01 63-73 |
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10.1007/s11005-004-5924-5 doi (DE-627)OLC2075480788 (DE-He213)s11005-004-5924-5-p DE-627 ger DE-627 rakwb eng 530 VZ Mudrov, A. verfasserin aut Trigonometric Dynamical r-Matrices Over Poisson Lie Base 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer 2005 Abstract Let $$\cal{g}$$ be a finite dimensional complex Lie algebra and $$\cal{l} \subset \cal{g}$$ a Lie subalgebra equipped with the structure of a factorizable quasitriangular Lie bialgebra. Consider the Lie group Exp $$\cal{l}$$ with the Semenov-Tjan-Shansky Poisson bracket as a Poisson Lie manifold for the double Lie bialgebra $$\cal{D}\cal{l}$$ . Let $$\cal{N}_{\cal{l}}(0) \subset \cal{l}$$ be an open domain parameterizing a neighborhood of the identity in Exp $$\cal{l}$$ by the exponential map. We present dynamical r-matrices with values in $$\cal{g}\wedge \cal{g}$$ over the Poisson Lie base manifold $$\cal{N}_{\cal{l}}(0)$$. Dynamical Yang–Baxter equation Poisson Lie groups Poisson Lie manifolds Enthalten in Letters in mathematical physics Kluwer Academic Publishers, 1975 71(2005), 1 vom: Jan., Seite 63-73 (DE-627)129436666 (DE-600)193974-9 (DE-576)014807467 0377-9017 nnns volume:71 year:2005 number:1 month:01 pages:63-73 https://doi.org/10.1007/s11005-004-5924-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_20 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_285 GBV_ILN_2004 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4310 GBV_ILN_4318 AR 71 2005 1 01 63-73 |
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10.1007/s11005-004-5924-5 doi (DE-627)OLC2075480788 (DE-He213)s11005-004-5924-5-p DE-627 ger DE-627 rakwb eng 530 VZ Mudrov, A. verfasserin aut Trigonometric Dynamical r-Matrices Over Poisson Lie Base 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer 2005 Abstract Let $$\cal{g}$$ be a finite dimensional complex Lie algebra and $$\cal{l} \subset \cal{g}$$ a Lie subalgebra equipped with the structure of a factorizable quasitriangular Lie bialgebra. Consider the Lie group Exp $$\cal{l}$$ with the Semenov-Tjan-Shansky Poisson bracket as a Poisson Lie manifold for the double Lie bialgebra $$\cal{D}\cal{l}$$ . Let $$\cal{N}_{\cal{l}}(0) \subset \cal{l}$$ be an open domain parameterizing a neighborhood of the identity in Exp $$\cal{l}$$ by the exponential map. We present dynamical r-matrices with values in $$\cal{g}\wedge \cal{g}$$ over the Poisson Lie base manifold $$\cal{N}_{\cal{l}}(0)$$. Dynamical Yang–Baxter equation Poisson Lie groups Poisson Lie manifolds Enthalten in Letters in mathematical physics Kluwer Academic Publishers, 1975 71(2005), 1 vom: Jan., Seite 63-73 (DE-627)129436666 (DE-600)193974-9 (DE-576)014807467 0377-9017 nnns volume:71 year:2005 number:1 month:01 pages:63-73 https://doi.org/10.1007/s11005-004-5924-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_20 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_285 GBV_ILN_2004 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4310 GBV_ILN_4318 AR 71 2005 1 01 63-73 |
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10.1007/s11005-004-5924-5 doi (DE-627)OLC2075480788 (DE-He213)s11005-004-5924-5-p DE-627 ger DE-627 rakwb eng 530 VZ Mudrov, A. verfasserin aut Trigonometric Dynamical r-Matrices Over Poisson Lie Base 2005 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer 2005 Abstract Let $$\cal{g}$$ be a finite dimensional complex Lie algebra and $$\cal{l} \subset \cal{g}$$ a Lie subalgebra equipped with the structure of a factorizable quasitriangular Lie bialgebra. Consider the Lie group Exp $$\cal{l}$$ with the Semenov-Tjan-Shansky Poisson bracket as a Poisson Lie manifold for the double Lie bialgebra $$\cal{D}\cal{l}$$ . Let $$\cal{N}_{\cal{l}}(0) \subset \cal{l}$$ be an open domain parameterizing a neighborhood of the identity in Exp $$\cal{l}$$ by the exponential map. We present dynamical r-matrices with values in $$\cal{g}\wedge \cal{g}$$ over the Poisson Lie base manifold $$\cal{N}_{\cal{l}}(0)$$. Dynamical Yang–Baxter equation Poisson Lie groups Poisson Lie manifolds Enthalten in Letters in mathematical physics Kluwer Academic Publishers, 1975 71(2005), 1 vom: Jan., Seite 63-73 (DE-627)129436666 (DE-600)193974-9 (DE-576)014807467 0377-9017 nnns volume:71 year:2005 number:1 month:01 pages:63-73 https://doi.org/10.1007/s11005-004-5924-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_20 GBV_ILN_30 GBV_ILN_40 GBV_ILN_70 GBV_ILN_285 GBV_ILN_2004 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4310 GBV_ILN_4318 AR 71 2005 1 01 63-73 |
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Abstract Let $$\cal{g}$$ be a finite dimensional complex Lie algebra and $$\cal{l} \subset \cal{g}$$ a Lie subalgebra equipped with the structure of a factorizable quasitriangular Lie bialgebra. Consider the Lie group Exp $$\cal{l}$$ with the Semenov-Tjan-Shansky Poisson bracket as a Poisson Lie manifold for the double Lie bialgebra $$\cal{D}\cal{l}$$ . Let $$\cal{N}_{\cal{l}}(0) \subset \cal{l}$$ be an open domain parameterizing a neighborhood of the identity in Exp $$\cal{l}$$ by the exponential map. We present dynamical r-matrices with values in $$\cal{g}\wedge \cal{g}$$ over the Poisson Lie base manifold $$\cal{N}_{\cal{l}}(0)$$. © Springer 2005 |
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Abstract Let $$\cal{g}$$ be a finite dimensional complex Lie algebra and $$\cal{l} \subset \cal{g}$$ a Lie subalgebra equipped with the structure of a factorizable quasitriangular Lie bialgebra. Consider the Lie group Exp $$\cal{l}$$ with the Semenov-Tjan-Shansky Poisson bracket as a Poisson Lie manifold for the double Lie bialgebra $$\cal{D}\cal{l}$$ . Let $$\cal{N}_{\cal{l}}(0) \subset \cal{l}$$ be an open domain parameterizing a neighborhood of the identity in Exp $$\cal{l}$$ by the exponential map. We present dynamical r-matrices with values in $$\cal{g}\wedge \cal{g}$$ over the Poisson Lie base manifold $$\cal{N}_{\cal{l}}(0)$$. © Springer 2005 |
| abstract_unstemmed |
Abstract Let $$\cal{g}$$ be a finite dimensional complex Lie algebra and $$\cal{l} \subset \cal{g}$$ a Lie subalgebra equipped with the structure of a factorizable quasitriangular Lie bialgebra. Consider the Lie group Exp $$\cal{l}$$ with the Semenov-Tjan-Shansky Poisson bracket as a Poisson Lie manifold for the double Lie bialgebra $$\cal{D}\cal{l}$$ . Let $$\cal{N}_{\cal{l}}(0) \subset \cal{l}$$ be an open domain parameterizing a neighborhood of the identity in Exp $$\cal{l}$$ by the exponential map. We present dynamical r-matrices with values in $$\cal{g}\wedge \cal{g}$$ over the Poisson Lie base manifold $$\cal{N}_{\cal{l}}(0)$$. © Springer 2005 |
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