S. Velmurugan

collaborators

3 papers

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…

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 $μ$ admits a non-zero invariant vector in the irreducible representation $V_{λ}$ of the symmetric group. We find that a majority of pa…