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math.RT2025
Minimal Polynomials in Spin Representations of Symmetric and Alternating Groups
Amritanshu Prasad, Velmurugan S, Alexey Staroletov
We determine the minimal polynomial of each element of the double cover of the symmetric or alternating group in every irreducible spin representation of .
math.RT2025
Kronecker Coefficients and Simultaneous Conjugacy Classes
Jyotirmoy Ganguly, Digjoy Paul, Amritanshu Prasad +2
A Kronecker coefficient is the multiplicity of an irreducible representation of a finite group in a tensor product of irreducible representations. We define Kronecker Hecke alg…
math.RT2024
Cyclic Characters of Alternating Groups
Amrutha P, Amritanshu Prasad, Velmurugan S
We determine the eigenvalues with multiplicity of each element of an alternating group in any irreducible representation. This is equivalent to determining the decomposition of cyc…