Stable branching rules for classical symmetric pairs

Details Stable branching rules for classical symmetric pairs Stable branching rules for classical symmetric pairs

2003-11-11

arxiv.org/abs/math/0311159v2

Trans. Amer. Math. Soc. 357 (2005), no. 4, 1601-1626

Mathematics

Representation Theory

26 pages

Scientific paper

We approach the problem of obtaining branching rules from the point of view of dual reductive pairs. Specifically, we obtain a stable branching rule for each of 10 classical families of symmetric pairs. In each case, the branching multiplicities are expressed in terms of Littlewood-Richardson coefficients. Some of the formulas are classical and include, for example, Littlewood's restriction rule as a special case.

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