18 citations · 69 across the 15 of their papers we have counts for
4 papers · 1 filter
Wreath Macdonald polynomials at q=t as characters of rational Cherednik algebras
Dario Mathiä, Ulrich Thiel
Using the theory of Macdonald, Gordon showed that the graded characters of the simple modules for the restricted rational Cherednik algebra by Etingof and Ginzburg associated to th…
Computational aspects of Calogero-Moser spaces
Cédric Bonnafé, Ulrich Thiel
We present a series of algorithms for computing geometric and representation-theoretic invariants of Calogero-Moser spaces and rational Cherednik algebras associated to complex ref…
On Parabolic Subgroups of Symplectic Reflection Groups
Gwyn Bellamy, Johannes Schmitt, Ulrich Thiel
Using Cohen's classification of symplectic reflection groups, we prove that the parabolic subgroups, that is, stabilizer subgroups, of a finite symplectic reflection group are them…
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…