K. Chan

activity

20162020

collaborators

5 papers

math.RT2020

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.

math.RT2019

Homological branching law for $(GL_{n + 1} (F), GL_{n} (F))$ : projectivity and indecomposability

Kei Yuen Chan

Let $F$ be a non-Archimedean local field. This paper studies homological properties of irreducible smooth representations restricted from $GL_{n + 1} (F)$ to $\mathrm{GL}_n(F…

math.RT2018

Iwahori component of Bessel model spaces

Kei Yuen Chan, Gordan Savin

Let $k_{0}$ be a $p$ -adic field of odd residual characteristic, and $G$ a special orthogonal group defined as acting on a split $2 n + 1$ -dimensional orthogonal space $V$ over $k_{0}$ . Le…

math.RT2018

A vanishing Ext-branching theorem for $(GL_{n + 1} (F), GL_{n} (F))$

Kei Yuen Chan, Gordan Savin

We prove a conjecture of Dipendra Prasad on the Ext-branching problem from $GL_{n + 1} (F)$ to $GL_{n} (F)$ , where $F$ is a $p$ -adic field.

math.RT2016

Bernstein-Zelevinsky derivatives, branching rules and Hecke algebras

Kei Yuen Chan, Gordan Savin

Let $G$ be a split reductive group over a $p$ -adic field $F$ . Let $B$ be a Borel subgroup and $U$ the maximal unipotent subgroup of $B$ . Let $ψ$ be a Whittaker character of $U$ . Le…

Exotic t-structure for partial resolutions of the nilpotent cone

Homological branching law for (GLn+1​(F),GLn​(F)): projectivity and indecomposability

Iwahori component of Bessel model spaces

A vanishing Ext-branching theorem for (GLn+1​(F),GLn​(F))

Bernstein-Zelevinsky derivatives, branching rules and Hecke algebras

Homological branching law for $(GL_{n + 1} (F), GL_{n} (F))$ : projectivity and indecomposability

A vanishing Ext-branching theorem for $(GL_{n + 1} (F), GL_{n} (F))$