Kumar Balasubramanian

collaborators

2 papers

math.RT2026

Twisted Jacquet modules associated to maximal parabolic subgroups and cuspidal representations of $G L (n, q)$

Kumar Balasubramanian, Krishna Kaipa, Himanshi Khurana

Let $I ¨ $ be a cuspidal representation of $G L (n, F)$ over a finite field $F$ . Let $P = M N$ be the Levi decomposition of a maximal parabolic subgroup corresponding to the partition $(k,…

math.RA2024

On the cardinality of matrices with prescribed rank and partial trace over a finite field

Kumar Balasubramanian, Krishna Kaipa, Himanshi Khurana

Let $F$ be the finite field of order $q$ and $\M(n,r, F)$ be the set of $n \times n$ matrices of rank $r$ over the field $F$ . For $I^\pm \in F$ and $A\in \M(n,F)$, let $$Z^Î±_{A,r}=\lef…

Twisted Jacquet modules associated to maximal parabolic subgroups and cuspidal representations of GL(n,q)

On the cardinality of matrices with prescribed rank and partial trace over a finite field

Twisted Jacquet modules associated to maximal parabolic subgroups and cuspidal representations of $G L (n, q)$