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 multiplic...
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Main Author | |
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Format | Journal Article |
Language | English |
Published |
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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DOI: | 10.48550/arxiv.math/0506159 |