Stable branching rules for classical symmetric pairs

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

Stable branching rules for classical symmetric pairs

Authors

Howe, Roger E.

Tan, Eng Chye

Willenbring, Jeb F.

Description

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.
26 pages