Multiplicities and tensor product coefficients for \(A_r\)
We apply some recent developments of Baldoni-DeLoera-Vergne on vector partition functions, to Kostant and Steinberg formulas, in the case of \(A_r\). We therefore get a fast {\sc Maple} program that computes for \(A_r\): the multiplicity \(c_{\lambda,\mu}\) of the weight \(\mu\) in the representatio...
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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
20.06.2003
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Subjects | |
Online Access | Get full text |
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Summary: | We apply some recent developments of Baldoni-DeLoera-Vergne on vector partition functions, to Kostant and Steinberg formulas, in the case of \(A_r\). We therefore get a fast {\sc Maple} program that computes for \(A_r\): the multiplicity \(c_{\lambda,\mu}\) of the weight \(\mu\) in the representation \(V(\lambda)\) of highest weight \(\lambda\); the multiplicity \(c_{\lambda,\mu,\nu}\) of the representation \(V(\nu)\) in \(V(\lambda)\otimes V(\mu)\). The computation also gives the locally polynomial functions \(c_{\lambda,\mu}\) and \(c_{\lambda,\mu,\nu}\). |
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ISSN: | 2331-8422 |