22 citations · 29 across the 7 of their papers we have counts for
7 papers
Rank and Duality in Representation Theory
Shamgar Gurevich, Roger Howe
There is both theoretical and numerical evidence that the set of irreducible representations of a reductive group over local or finite fields is naturally partitioned into families…
Small Representations of Finite Classical Groups
Shamgar Gurevich, Roger Howe
Finite group theorists have established many formulas that express interesting properties of a finite group in terms of sums of characters of the group. An obstacle to applying the…
Quadratic reciprocity and the sign of the Gauss sum via the finite Weil representation
Shamgar Gurevich, Ronny Hadani, Roger Howe
We give new proofs of two basic results in number theory: The law of quadratic reciprocity and the sign of the Gauss sum. We show that these results are encoded in the relation bet…
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…