Some special bases of the 2-swap algebras

Authors

  • Claudio Procesi

DOI:

https://doi.org/10.1285/i15900932v45n1p39

Keywords:

swap algebra, symmetric group, representations

Abstract

We study the algebra $\Sigma_n$ induced by the action of the symmetric group $S_n$ on $V^{\otimes n}$ when $\dim V=2$. Our main result is that the space of symmetric elements of $\Sigma_n$ is linearly spanned by the involutions of $S_n$.

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Published

08-09-2025

Issue

Volume 45, issue 1 (2025)

Section

Articoli

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