activity
20122022
most citedOn a Twisted Jacquet module of GL(6) over a finite field

2 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.RT2022★ 1 cited

On a twisted Jacquet module of GL(2n) over a finite field

Kumar Balasubramanian, Abhishek Dangodara, Himanshi Khurana

Let F be a finite field and G=GL(2n,F). In this paper, we explicitly describe a certain twisted Jacquet module of an irreducible cuspidal representation of G.

math.RT2022★ 2 cited

On a Twisted Jacquet module of GL(6) over a finite field

Kumar Balasubramanian, Himanshi Khurana

Let F be a finite field and G=GL(6,F). In this paper, we explicitly describe a certain twisted Jacquet module of an irreducible cuspidal representation of G.

math.GR2017

Finite order elements in the integral symplectic group

Kumar Balasubramanian, M. Ram Murty, Karam Deo Shankhadhar

For , let $G=\Sp(2g,\mathbb{Z})$ be the integral symplectic group and be the set of all positive integers which can occur as the order of an element in .…

math.RT2016

Self-dual representations of Sp(4,F)

Kumar Balasubramanian

Let be a non-Archimedean local field of characteristic and . Let be an irreducible smooth self-dual representation . The space of admits a non…

math.GR2013

Some remarks on the symplectic group

Kumar Balasubramanian, Ganesh Ji Omar

Let $G=\Sp(2g,\mathbb{Z})$ be the symplectic group over the integers. Given , it is natural to ask if there exists a non-trivial matrix such that $A^{m}=I…

math.RT2012

Self-dual representations with vectors fixed under an Iwahori subgroup

Kumar Balasubramanian

Let be the group of -points of a split connected reductive -group over a non-Archimedean local field of characteristic 0. Let be an irreducible smooth self-dual r…