Physical Sciences, Mathematical Sciences
Title : | Rational Projective representations of groups and Twisted group ring isomorphism problem |
Area of research : | Physical Sciences, Mathematical Sciences |
Principal Investigator : | Dr. sumana Hatui, National Institute Of science Education And Research (NIsER) Bhubaneswar, Odisha |
Timeline Start Year : | 2023 |
Timeline End Year : | 2025 |
Contact info : | sumanahatui@niser.ac.in |
Equipments : | Laptop |
Details
Executive Summary : | The author's research interests lie in Group Theory, specifically the complex projective representations and schur multiplier of finite and infinite groups. The theory of projective representations and schur multiplier has a long history, starting with schur's pioneering works for finite groups. studying projective representations is challenging due to the fact that complex irreducible ordinary representations of abelian groups are one-dimensional. The author plans to study the rational projective representations of abelian groups and nilpotent groups, as projective representations are modules over twisted group algebra. They also plan to study the structure of rational twisted group algebra and find the primitive central idempotent of this group algebra. The ultimate goal is to study the twisted group ring isomorphism problem over rationals, specifically determining the condition under which the groups are isomorphic. |
Total Budget (INR): | 13,64,601 |
Organizations involved