9 citations · 21 across the 5 of their papers we have counts for
6 papers
Conjugation of Transitive Permutation Pairs and Dessins d'Enfants
Sean Rostami
Let E be a finite set. Given permutations x and y of E that together generate a transitive subgroup, for which s is it true that x and the conjugate of y by s also generate a trans…
On the Canonical Representatives of a Finite Weyl Group
Sean Rostami
Let K be a field and G a split connected reductive affine algebraic K-group. Let T be a split maximal torus of G, W its finite Weyl group, and R its root system. After fixing a rea…
The Bernstein presentation for general connected reductive groups
Sean Rostami
Let F be a non-Archimedean local field and let G be a connected reductive affine algebraic F-group. Let I be an Iwahori subgroup of G(F) and denote by H(G; I) the Iwahori-Hecke alg…
Conjugacy classes of non-translations in affine Weyl groups and applications to Hecke algebras
Sean Rostami
Let W be an Iwahori-Weyl group of a connected reductive group G over a non-archimedean local field. I prove that if w is an element of W that does not act on the corresponding apar…
Kottwitz's nearby cycles conjecture for a class of unitary Shimura varieties
Sean Rostami
This paper proves that the nearby cycles complexes on a certain family of PEL local models are central with respect to the convolution product of sheaves on the corresponding affin…
The Satake isomorphism for special maximal parahoric Hecke algebras
Thomas Haines, Sean Rostami
Let G denote a connected reductive group over a nonarchimedean local field F. Let K denote a special maximal parahoric subgroup of G(F). We establish a Satake isomorphism for the H…