S. Velmurugan

collaborators

6 papers

math.RT2025

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 $S_{n}$ to the dihedral subgroup $D_{n}$ are n…

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 $G$ of the symmetric or alternating group in every irreducible spin representation of $G$ .

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 $G$ in a tensor product of irreducible representations. We define Kronecker Hecke alg…

math.RT2025

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…

math.RT2024

Covering Numbers of Some Irreducible Characters of the Symmetric Group

Rijubrata Kundu, Velmurugan S

The covering number of a non-linear character $χ$ of a finite group $G$ is the least positive integer $k$ such that every irreducible character of $G$ occurs in $χ^{k}$ . We determine…

math.CO2024

Generators for the Algebra of Symmetric Functions

Velmurugan S

The algebra of symmetric functions contains several interesting families of symmetric functions indexed by integer partitions or skew partitions. Given a sequence ${u_{n}}$ of symm…