Minimal polynomials of Young permutation modules and idempotents
Abstract Applying an epimorphism of the Solomon descent algebra onto the subring of the Green ring spanned by the isomorphism classes of Young permutation modules, we determine a basis of primitive orthogonal idempotents which diagonalise the multiplication maps of Young permutation modules. We dete...
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Gespeichert in:
| Autor*in: |
Gill, Christopher C. [verfasserIn] |
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Artikel |
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Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer International Publishing 2016 |
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| Übergeordnetes Werk: |
Enthalten in: Archiv der Mathematik - Springer International Publishing, 1948, 107(2016), 2 vom: 07. Juli, Seite 151-158 |
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| Übergeordnetes Werk: |
volume:107 ; year:2016 ; number:2 ; day:07 ; month:07 ; pages:151-158 |
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10.1007/s00013-016-0936-9 |
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Abstract Applying an epimorphism of the Solomon descent algebra onto the subring of the Green ring spanned by the isomorphism classes of Young permutation modules, we determine a basis of primitive orthogonal idempotents which diagonalise the multiplication maps of Young permutation modules. We determine direct sum decompositions of tensor products of hook Young permutation modules, the minimal polynomials of all Young permutation modules, and of the Young module Y(r−1,1). © Springer International Publishing 2016 |
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Abstract Applying an epimorphism of the Solomon descent algebra onto the subring of the Green ring spanned by the isomorphism classes of Young permutation modules, we determine a basis of primitive orthogonal idempotents which diagonalise the multiplication maps of Young permutation modules. We determine direct sum decompositions of tensor products of hook Young permutation modules, the minimal polynomials of all Young permutation modules, and of the Young module Y(r−1,1). © Springer International Publishing 2016 |
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Abstract Applying an epimorphism of the Solomon descent algebra onto the subring of the Green ring spanned by the isomorphism classes of Young permutation modules, we determine a basis of primitive orthogonal idempotents which diagonalise the multiplication maps of Young permutation modules. We determine direct sum decompositions of tensor products of hook Young permutation modules, the minimal polynomials of all Young permutation modules, and of the Young module Y(r−1,1). © Springer International Publishing 2016 |
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Minimal polynomials of Young permutation modules and idempotents |
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