A note on irreducible representations of symmetric groups and Sergeev superalgebras

Abstract

We provide an explicit construction and a closed dimension formula in terms of hook lengths for the irreducible representations for the symmetric groups ${\mathfrak{S}}_p$ and the Sergeev superalgebras ${\mathcal{Y}}_p$ over an algebraically closed field $\mathbb{F}$ of characteristic $p>0$.

arXiv comment18 pages