Signature quantization and representations of compact Lie groups.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 15240871.
- Also identified by PMC identifier 503714.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
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, for type A, analogues of the Weyl branching rule and the Gel'fand-Tsetlin theorem.