4 citations · 10 across the 7 of their papers we have counts for
9 papers
Ranks for Representations of GL(n) Over Finite Fields, their Agreement, and Positivity of Fourier Transform
Shamgar Gurevich, Roger Howe
In [Frobenius1896] it was shown that many important properties of a finite group could be examined using formulas involving the character ratios of group elements, i.e., the trace…
Harmonic Analysis on GL(n) over Finite Fields
Shamgar Gurevich, Roger Howe
There are many formulas that express interesting properties of a finite group G in terms of sums over its characters. For estimating these sums, one of the most salient quantities…
The Pieri Rule for GLn Over Finite Fields
Shamgar Gurevich, Roger Howe
The Pieri rule gives an explicit formula for the decomposition of the tensor product of irreducible representation of the complex general linear group GL(n,C) with a symmetric powe…
A look at Representations of SL(2,F_q) through the Lens of Size
Shamgar Gurevich, Roger Howe
How to study a nice function on the real line? The physically motivated Fourier theory technique of harmonic analysis is to expand the function in the basis of exponentials and stu…
A reciprocity law and the skew Pieri rule for the symplectic group
Roger Howe, Roman Lavicka, Soo Teck Lee +1
We use the theory of skew duality to show that decomposing the tensor product of irreducible representations of the symplectic group is equivalent to bra…
Monoid Embeddings of Symmetric Varieties
Mahir Bilen Can, Roger Howe, Lex Renner
We determine when an antiinvolution on an adjoint semisimple linear algebraic group extends to an antiinvolution on a -irreducible monoid. Using this information, we study a spe…
Regular Unipotent Invariants on the Wonderful Compactification of Complete Binary Forms
Mahir Bilen Can, Roger Howe, Michael Joyce
We investigate the topology of the closure in a wonderful compactification of the set of unipotent-invariant bilinear forms.
Unipotent Invariant Matrices
Mahir Bilen Can, Roger Howe, Michael Joyce
We describe the variety of fixed points of a unipotent operator acting on the space of matrices. We compute the determinant and the rank of a generic (symmetric, or anti-symmetric)…
Multiplicity, Invariants and Tensor Product Decomposition of Tame Representations of U(\infty)
R. Michael Howe, Tuong Ton-That
The structure of r-fold tensor products of irreducible tame representations of the inductive limit U(\infty) of unitary groups U(n) are are described, versions of contragredient re…