4 papers
A bibasic double sum extension of a -binomial theorem arising out of subspace enumeration
Gaurav Bhatnagar, Amritanshu Prasad
We prove a conjecture that arose in the context of a subspace enumeration problem over finite fields. We prove, more generally, a bibasic, double-sum identity, which extends a -…
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 .
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…
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…