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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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Bibliografiske detaljer
Main Authors: Guillemin, Victor, Rassart, Etienne
Format: Artigo
Sprog:Inglês
Udgivet: National Academy of Sciences 2004
Fag:
Online adgang: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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