Stable branching rules for classical symmetric pairs

Howe, Roger; Tan, Eng-Chye; Willenbring, Jeb

doi:10.1090/S0002-9947-04-03722-5

Stable branching rules for classical symmetric pairs
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by Roger Howe, Eng-Chye Tan and Jeb F. Willenbring PDF

Trans. Amer. Math. Soc. 357 (2005), 1601-1626 Request permission

Abstract:

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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