Krishna Kaipa

activity

20242026

collaborators

5 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.CO2025

Incidence of lines, points, and planes in $P G (3, q)$ with respect to the twisted cubic

Krishna Kaipa, Puspendu Pradhan

We consider the orbits of the group $G = P G L_{2} (q)$ on the points, lines and planes of the projective space $P G (3, q)$ over a finite field $F_{q}$ of characteristic different fro…

math.CO2025

On the $P G L_{2} (q)$ -orbits of lines of $P G (3, q)$ and binary quartic forms in characteristic three

Krishna Kaipa, Puspendu Pradhan

We consider the problem of classifying the lines of the projective $3$ -space $P G (3, q)$ over a finite field $F_{q}$ into orbits of the group $P G L_{2} (q)$ of linear symmetries o…

math.CO2025

On the $P G L_{2} (q)$ -orbits of lines of $P G (3, q)$ and binary quartic forms

Krishna Kaipa, Nupur Patanker, Puspendu Pradhan

We study the problem of classifying the lines of the projective $3$ -space $P G (3, q)$ over a finite field $GF (q)$ into orbits of the group $G = P G L (2, q)$ of linear symmetries of the tw…

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)

Incidence of lines, points, and planes in PG(3,q) with respect to the twisted cubic

On the PGL2​(q)-orbits of lines of PG(3,q) and binary quartic forms in characteristic three

On the PGL2​(q)-orbits of lines of PG(3,q) and binary quartic forms

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 $G L (n, q)$

Incidence of lines, points, and planes in $P G (3, q)$ with respect to the twisted cubic

On the $P G L_{2} (q)$ -orbits of lines of $P G (3, q)$ and binary quartic forms in characteristic three

On the $P G L_{2} (q)$ -orbits of lines of $P G (3, q)$ and binary quartic forms