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

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Implementing Organization

Indian Institute of Science

Principal Investigator

Dr. Geetha Thangavelu

Indian Institute of Science Education and Research (IISER) Thiruvananthapuram, Kerala

CO-Principal Investigator

Prof. Shripad M Garge

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

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.

Source

Science and Engineering Research Board (SERB), DST 2022-23

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Area of Research

Mathematical Sciences

Start Date

2022

End Date

2025

Status

Completed

Contact

tgeetha@iisertvm.ac.in

Output

No. of Research Paper

Technologies (If Any)

No. of PhD Produced

Publications

No. of Patents

Filed : 00

Grant : 00

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