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Representations, Determinants and Branching rules.

Mathematics Colloquium | Sagar Shrivastava | Nov 7th, 2023

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Abstract:

Branching rules/laws ( restriction of representations ) also known as symmetry breaking in physics has been an active area of research since the onset of the topic by Herman Weyl in 1950. In this talk, I would give a brief description of Highest weight theory and the determinantal form of the Weyl character formula. I would proceed to talk about branching from GL_n to GL_{n-1} and give an idea about the other classical groups.This is a joint work with Prof. C.S. Rajan.

About the Speaker:

Sagar Shrivastava is a Ph.D. student in Tata Institute of Fundamental Research, Mumbai. He is working under Prof. C. S. Rajan. His areas of interest include Representation theory, Lie groups and Lie algebras, Number theory and Algebraic combinatorics. He completed his Integrated Masters in Mathematics from NISER, Bhubaneswar in 2016.

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