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Signature quantization and representations of compact Lie groups

We discuss some applications of signature quantization to the representation theory of compact Lie groups. In particular, we prove signature analogues of the Kostant formula for weight multiplicities and the Steinberg formula for tensor product multiplicities. Using symmetric functions, we also find...

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Detalhes bibliográficos
Main Authors: Guillemin, Victor, Rassart, Etienne
Formato: Artigo
Idioma:Inglês
Publicado em: National Academy of Sciences 2004
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Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC503714/
https://ncbi.nlm.nih.gov/pubmed/15240871
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.0403173101
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