New Branching Formulae for Classical Groups and Relations among them

2024/02/02 by Biswas, Dibyendu
#22E46 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2402.01436

Abstract

We find the branching laws for the classical pairs GL(m, ℂ) ⊂ GL(n, ℂ), Sp(2m, ℂ) ⊂ Sp(2n, ℂ), SO(q, ℂ) ⊂ SO(p, ℂ) for all m≤ n, and all q≤ p, generalizing the well-known results of classical branching laws which exist for m=n-1, and q=p-1. Our approach provides a common proof applicable to all these groups. We also compare the branching multiplicities among these pairs.

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