23 citations · 51 across the 6 of their papers we have counts for
7 papers
On the Structure of Involutions and Symmetric Spaces of Dihedral Groups
Katrina K. A. Cunningham, Tom J. Edgar, Aloysius G. Helminck +4
We initiate the study of analogues of symmetric spaces for the family of finite dihedral groups. In particular, we investigate the structure of the automorphism group, characterize…
First cohomology for finite groups of Lie type: simple modules with small dominant weights
Brian D. Boe, Adrian M. Brunyate, Jon F. Carlson +12
Let be an algebraically closed field of characteristic , and let be a simple, simply connected algebraic group defined over . Given , set $q=…
Normality of orbit closures in the enhanced nilpotent cone
Pramod N. Achar, Anthony Henderson, Benjamin F. Jones
We continue the study of the closures of -orbits in the enhanced nilpotent cone $V\times\cN$ begun by the first two authors. We prove that each closure is an invariant-theor…
On the support varieties of Demazure modules
Benjamin F. Jones, Daniel K. Nakano
We consider the support varieties of Demazure modules, certain -modules important in the representation theory of reductive groups. In many cases we are able to compute these su…
Cohomology of quantum groups: An analog of Kostant's Theorem
University of Georgia VIGRE Algebra Group, Irfan Bagci, Brian D. Boe +8
We prove the analog of Kostant's Theorem on Lie algebra cohomology in the context of quantum groups. We prove that Kostant's cohomology formula holds for quantum groups at a generi…
Singular Chern Classes of Schubert Varieties via Small Resolution
Benjamin F. Jones
We discuss a method for calculating the Chern-Schwartz-MacPherson (CSM) class of a Schubert variety in the Grassmannian using small resolutions introduced by Zelevinsky. As a conse…