On the expansion of the multiplicity-free plethysms $ p_{2}[s_{(a, b)} ] $ and $ p_{2}[s_{(1^{r}, 2^{t})}] $

Authors

LUISA CARINI

Abstract

We show how to compute the explicit expansion of the plethysm $ p_{2}[s_{\lambda}]$ of the power symmetric function $ p_{2}$ and the Schur function $ s_{\lambda}$, where $\lambda$ has either two rows or two columns, via the well known Littlewood-Richardson coefficients which occur in the decomposition of $ s^{2}_{\lambda}$.

DOI

10.55730/1300-0098.3227

Keywords

Schur functions, multiplicity-free, plethysm

First Page

1699

Last Page

1708

Recommended Citation

CARINI, L (2022). On the expansion of the multiplicity-free plethysms $ p_{2}[s_{(a, b)} ] $ and $ p_{2}[s_{(1^{r}, 2^{t})}] $. Turkish Journal of Mathematics 46 (5): 1699-1708. https://doi.org/10.55730/1300-0098.3227