Research

Mathematical Sciences

Title :

Some problems on the twisted Jacquet module

Area of research :

Mathematical Sciences

Focus area :

Mathematics

Principal Investigator :

Dr. Kumar Balasubramanian, Assistant Professor, Indian Institute of Science Education and Research (IISER), Bhopal

Timeline Start Year :

2024

Contact info :

Details

Executive Summary :

The project aims to understand the twisted Jacquet module of irreducible representations of the group GL(2n) over finite and p-adic fields. It will study problems such as calculating the structure of a cuspidal representation of GL(6), calculating the dimension formula for irreducible cuspidal representations of GL(2n), and calculating the dimension formula for irreducible cuspidal representations of GL(mn). The study aims to provide insights for formulating conjectures in finite and p-adic fields.

Total Budget (INR):

27,09,772

Organizations involved