Vector partition function and representation theory
We apply some recent developments of Baldoni-Beck-Cochet-Vergne on vector partition function, to Kostant's and Steinberg's formulae, for classical Lie algebras \(A\_r\), \(B\_r\), \(C\_r\), \(D\_r\). We therefore get efficient {\tt Maple} programs that compute for these Lie algebras: the m...
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Published in | arXiv.org |
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Main Author | |
Format | Paper |
Language | English |
Published |
Ithaca
Cornell University Library, arXiv.org
09.06.2005
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Subjects | |
Online Access | Get full text |
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Summary: | We apply some recent developments of Baldoni-Beck-Cochet-Vergne on vector partition function, to Kostant's and Steinberg's formulae, for classical Lie algebras \(A\_r\), \(B\_r\), \(C\_r\), \(D\_r\). We therefore get efficient {\tt Maple} programs that compute for these Lie algebras: the multiplicity of a weight in an irreducible finite-dimensional representation; the decomposition coefficients of the tensor product of two irreducible finite-dimensional representations. These programs can also calculate associated Ehrhart quasipolynomials. |
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ISSN: | 2331-8422 |