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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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Autors principals: Guillemin, Victor, Rassart, Etienne
Format: Artigo
Idioma:Inglês
Publicat: National Academy of Sciences 2004
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Accés en línia: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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