On the central idempotents of algebras arising from Schur-Weyl Duality and the invariant theory of certain groups}
Implementing Organization
Indian Institute of Science
Principal Investigator
Dr. Geetha Thangavelu
Indian Institute of Science
CO-Principal Investigator
Dr. Bakkyaraj T
Indian Institute Of Information Technology, Kottayam, Kerala-686635
CO-Principal Investigator
Prof. Shripad M Garge
Indian Institute of Technology Bombay
Project Overview
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.