Shai Shechter

activity

20152019

most citedCharacters of the Norm-One Units of Local Division Algebras of Prime Degree

2 citations · 3 across the 2 of their papers we have counts for

collaborators

4 papers

math.RT2019★ 1 cited

Bounds on multiplicities of spherical spaces over finite fields -- the general case

Shai Shechter

Let $G$ be a connected reductive group scheme acting on a spherical scheme $X$ . In the case where $G$ is of type $A_{n}$ , Aizenbud and Avni proved the existence of a number $C$ such…

math.GR2017

Enumerating traceless matrices over compact discrete valuation rings

Angela Carnevale, Shai Shechter, Christopher Voll

We enumerate traceless square matrices over finite quotients of compact discrete valuation rings by their image sizes. We express the associated rational generating functions in te…

math.RT2017

Regular characters of classical groups over complete discrete valuation rings

Shai Shechter

Let $o$ be a complete discrete valuation ring with finide residue field $k$ of odd characteristic, and let $G$ be a symplectic or special orthogonal gr…

math.RT2015★ 2 cited

Characters of the Norm-One Units of Local Division Algebras of Prime Degree

Shai Shechter

We give an explicit construction of all complex continuous irreducible characters of the group $SL_{1} (D)$ , where $D$ is a division algebra of prime degree $ℓ$ over a local…