22 citations · 28 across the 3 of their papers we have counts for
4 papers · 1 filter
Small semisimple subalgebras of semisimple Lie algebras
Jeb F. Willenbring, Gregg Zuckerman
The main goal of this paper is to prove the following theorem: Let be an -subalgebra of a semisimple Lie algebra , none of whose simple factors is…
A Basis for the GL_n Tensor Product Algebra
Roger E. Howe, Eng Chye Tan, Jeb F. Willenbring
This paper focuses on the tensor product algebra, which encapsulates the decomposition of tensor products of arbitrary finite dimensional irreducible representations of $GL_…
Reciprocity Algebras and Branching for Classical Symmetric Pairs
Roger E. Howe, Eng Chye Tan, Jeb F. Willenbring
We study branching laws for a classical group and a symmetric subgroup . Our approach is through the {\it branching algebra}, the algebra of covariants for in the regula…
Stable branching rules for classical symmetric pairs
Roger E. Howe, Eng Chye Tan, Jeb F. Willenbring
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 famili…