Research
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 |
Timeline Start Year : | 2022 |
Timeline End Year : | 2025 |
Contact info : | tgeetha@iisertvm.ac.in |
Equipments : | Computer + accessories + printer |
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. |
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 |
Total Budget (INR): | 18,35,064 |
Organizations involved
Implementing Agency : | Indian Institute of Science Education and Research (IISER) Thiruvananthapuram, Kerala |
Funding Agency : | Anusandhan National Rsearch Foundation (ANRF)/Science and Engineering Research Board (SERB) |
Source: | Science and Engineering Research Board (SERB), DST 2022-23 |