3 citations · 7 across the 15 of their papers we have counts for
16 papers
Fake degrees of classical Weyl groups
William M. McGovern
We compute the fake degrees of representations of classical Weyl groups in terms of domino tableaux.
Pattern avoidance and K-orbit closures
William M. McGovern
We review the various pattern avoidance criteria that have been developed for smoothness and rational smoothness of symmetric subvarieties of flag varieties in the classical cases,…
Isotypic components in type
William M. McGovern
We extend the result of our earlier paper "A family of operators generating domino tableaux..." to type , showing that the same recipe holds for computing basis vectors of isoty…
Annihilators and associated varieties of Harish-Chandra modules for
William M. McGovern
Given a simple Harish-Chandra module for this group of trivial infinitesimal character, parametrized by a signed involution, we produce combinatorial recipes for attaching to it a…
Orbital varieties in type
William M. McGovern
We correct the proof of the main result in an earlier paper, showing how to parametrize orbital varieties in a complex simple Lie algebra of type in terms of domino tableaux an…
Orbital varieties in types and
William M. McGovern
We correct the proof of the main result of an earlier paper, parametrizing orbital varieties in a complex simple Lie algebra of type or in terms of domino tableaux and show…
Annihilators and associated varieties of Harish-Chandra modules for Sp(p,q)
William M. McGovern
We show how to compute annihilators and associated varieties of simple Harish-Chandra modules for Sp(p,q) with trivial infinitesimal character from a pair of domino tableaux attach…
Closures of O_n orbits in the flag variety for GL_n, II
William M. McGovern
We give a necessary and sufficient condition in terms of pattern avoidance for the conjugates of the bottom vertex in the Bruhat graph attached to an O_n orbit O in the flag variet…
A family of operators generating domino tableaux of a fixed shape and a decomposition of left cells into isotypic components
William M. McGovern
We exhibit a set of operators on pairs of domino tableaux of the same shape sending them to other such pairs with the same right tableau, in such a way that any two pairs with the…
The representation theory of generalized hyperoctahedral groups
William McGovern, James Pfeiffer
We give an explicit decomposition of , following Barbasch and Vogan [1]. We define two natural generalizations of , and extend the proof in [1] t…
Upper semicontinuity of KLV polynomials for certain blocks of Harish-Chandra modules
William M. McGovern
We show that the coefficients of Kazhdan-Lusztig-Vogan polynomials attached to certain blocks of Harish-Chandra modules satisfy a monotonicity property relative to the closure orde…
Rational singular loci of nilpotent varieties
William M. McGovern
We present two methods for computing the rational singular locus of the closure of a nilpotent orbit in a complex semisimple Lie algebra and give a number of interesting examples.
Closures of K-orbits in the flag variety for GL(2n)
William M. McGovern
We characterize the O_{2n} orbits in the flag variety for GL_{2n} with rationally smooth closure via a graph-theoretic criterion. We also give a necessary pattern avoidance criteri…
Closures of K-orbits in the flag variety for SU*(2n)
William M. McGovern
We characterize the Sp_{2n} orbits in the flag variety for SL_{2n} with rationally smooth closure via a pattern avoidance criterion, also showing that the singular and rationally s…
Closures of K-orbits in the flag variety for U(p,q)
William M. McGovern
We classify the GL_p x GL_q-orbits in the flag variety for GL_{p+q} with rationally smooth closure, showing that they are all either already closed or are pullbacks from orbits wit…
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…