4 papers
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 .
On the Positivity of Dihedral Branching Coefficients of the Symmetric and Alternating Groups
Velmurugan S
We determine precisely when the branching coefficients arising from the restriction of irreducible representations of the symmetric group to the dihedral subgroup are n…
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…
Vanishing pairs of conjugacy classes for the symmetric group
Velmurugan S
In this short note, we classify pairs of conjugacy classes of the symmetric group such that any non-linear irreducible character of the symmetric group vanishes on at least one of…