Stable branching rules for classical symmetric pairs

Roger E. Howe; Eng Chye Tan; Jeb F. Willenbring

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arXiv · math/0311159

Stable branching rules for classical symmetric pairs

Roger E. Howe·Eng Chye Tan·Jeb F. Willenbring

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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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BibTeX RIS

Roger E. Howe, Eng Chye Tan, Jeb F. Willenbring. 2005-11-06. Stable branching rules for classical symmetric pairs. https://arxiv.org/abs/math/0311159

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