2 papers
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…
math.RT2023
On the Existence of Elementwise Invariant Vectors in Representations of Symmetric Groups
Amrutha P, Amritanshu Prasad, Velmurugan S
We determine when a permutation with cycle type admits a non-zero invariant vector in the irreducible representation of the symmetric group. We find that a majority of pa…