25 citations · 81 across the 17 of their papers we have counts for
5 papers · 1 filter
Functors for unitary representations of classical real groups and affine Hecke algebras
Dan Ciubotaru, Peter E. Trapa
We define exact functors from categories of Harish-Chandra modules for certain real classical groups to finite-dimensional modules over an associated graded affine Hecke algebra wi…
Duality for nonlinear simply laced groups
Jeffrey Adams, Peter E. Trapa
Let G be a nonlinear double cover of the real points of a connected reductive complex algebraic group with simply laced root system. We establish a uniform character multiplicity d…
Pattern avoidance and smoothness of closures for orbits of a symmetric subgroup in the flag variety
William M. McGovern, Peter E. Trapa
We give a pattern avoidance criterion to classify the orbits of Sp(p,C) x Sp(q,C) (resp. GL(n,C)) on the flag variety of type C_{p+q} (resp. D_n) with rationally smooth closure. We…
Duality between GL(n,R) and the degenerate affine Hecke algebra for gl(n)
Dan Ciubotaru, Peter E. Trapa
We define an exact functor from the category of Harish-Chandra modules for to the category of finite-dimensional representations for the degenerate affine Hecke…
Regular orbits of symmetric subgroups on partial flag varieties
Dan Ciubotaru, Kyo Nishiyama, Peter E. Trapa
The main result of this paper is a new parameterization of the orbits of a symmetric subgroup on a partial flag variety. The parameterization is in terms of certain Spaltenstein va…