12 citations · 21 across the 8 of their papers we have counts for
11 papers
Exotic t-structure for partial resolutions of the nilpotent cone
Kei Yuen Chan, Laura Rider, Paul Sobaje
We define and study an exotic t-structure on the bounded derived category of equivariant coherent sheaves on partial resolutions of the nilpotent cone.
Homological branching law for : projectivity and indecomposability
Kei Yuen Chan
Let be a non-Archimedean local field. This paper studies homological properties of irreducible smooth representations restricted from to $\mathrm{GL}_n(F…
Iwahori component of Bessel model spaces
Kei Yuen Chan, Gordan Savin
Let be a -adic field of odd residual characteristic, and a special orthogonal group defined as acting on a split -dimensional orthogonal space over . Le…
A vanishing Ext-branching theorem for
Kei Yuen Chan, Gordan Savin
We prove a conjecture of Dipendra Prasad on the Ext-branching problem from to , where is a -adic field.
Bernstein-Zelevinsky derivatives: a Hecke algebra approach
Kei Yuen Chan, Gordan Savin
Let be a general linear group over a -adic field. It is well known that Bernstein components of the category of smooth representations of are described by Hecke algebras…
A vanishing theorem for Dirac cohomology of standard modules
Kei Yuen Chan
This paper studies the Dirac cohomology of standard modules in the setting of graded Hecke algebras with geometric parameters. We prove that the Dirac cohomology of a standard modu…
Bernstein-Zelevinsky derivatives, branching rules and Hecke algebras
Kei Yuen Chan, Gordan Savin
Let be a split reductive group over a -adic field . Let be a Borel subgroup and the maximal unipotent subgroup of . Let be a Whittaker character of . Le…
Some methods of computing first extensions between modules of graded Hecke algebras
Kei Yuen Chan
In this paper, we establish connections between the first extensions of simple modules and certain filtrations of of standard modules in the setting of graded Hecke algebras. The f…
Duality for Ext-groups and extensions of discrete series for graded Hecke algebras
Kei Yuen Chan
In this paper, we study extensions of graded affine Hecke algebra modules. In particular, based on an explicit projective resolution on graded affine Hecke algebra modules, we prov…
On a twisted Euler-Poincaré pairing for graded affine Hecke algebras
Kei Yuen Chan
We study a twisted Euler-Poincaré pairing for graded affine Hecke algebras, and give a precise connection to the twisted elliptic pairing of Weyl groups defined by Ciubotaru-He. Th…
Dirac cohomology for the degenerate affine Hecke Clifford algebra
Kei Yuen Chan
We define an analogue of the Dirac operator for the degenerate affine Hecke-Clifford algebra. A main result is to relate the central characters of the degenerate affine Hecke-Cliff…