Research

Mathematical Sciences

Title :

On the central idempotents of algebras arising from Schur-Weyl Duality and the invariant theory of certain groups}

Area of Research :

Mathematical Sciences

Principal Investigator :

Dr. Geetha Thangavelu, Indian Institute of Science Education and Research (IISER) Thiruvananthapuram, Kerala

Co-PI:

Prof. Shripad M Garge, Indian Institute Of Technology Bombay (IITB), Maharashtra-400076, Dr. Bakkyaraj T, Indian Institute Of Information Technology, Kottayam, Kerala-686635

Contact info :

Timeline Start Year :

2022

Timeline End Year :

2025

Total Budget (INR):

18,35,064

Details

Executive Summary :

This proposal aims at studying the decomposition matrices of certain class of diagram algebras arising from Schur-Weyl duality and the fundamental theorem of invariant theory for the groups which are associated in the Schur-Weyl duality. We aim at extending the results on this fundamental invariant from the Brauer algebras to other algebras in the Schur-Weyl duality.

Equipments :

Organizations involved