53 citations · 143 across the 33 of their papers we have counts for
22 papers · 1 filter
The Rank One property for free Frobenius extensions
Gwyn Bellamy, Ulrich Thiel
A conjecture by the second author, proven by Bonnafé-Rouquier, says that the multiplicity matrix for baby Verma modules over the restricted rational Cherednik algebra has rank one…
Quantum Hamiltonian Reduction for Polar Representations
G. Bellamy, T. Levasseur, T. Nevins +1
Let be a reductive complex Lie group with Lie algebra and suppose that is a polar -representation. We prove the existence of a radial parts map $\mathrm{r…
Invariant holonomic systems on symmetric spaces and other polar representations
G. Bellamy, T. Nevins, J. T. Stafford
Let be a symmetric space over a connected reductive Lie algebra , with Lie algebra and discriminant . A fundamental object is the invarian…
Cellularity of endomorphism algebras of tilting objects
Gwyn Bellamy, Ulrich Thiel
We show that, in a highest weight category with duality, the endomorphism algebra of a tilting object is naturally a cellular algebra. Our proof generalizes a recent construction o…
Cores of graded algebras with triangular decomposition
Gwyn Bellamy, Ulrich Thiel
We consider self-injective finite-dimensional graded algebras admitting a triangular decomposition. In a preceding paper, we have shown that the graded module category of such an a…
Semi-simplicity of the category of admissible D-modules
Gwyn Bellamy, Magdalena Boos
Using a representation theoretic parameterization for the orbits in the enhanced cyclic nilpotent cone, derived by the authors in a previous article, we compute the fundamental gro…