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arXiv · 2406.18687

Some special bases of the 2-swap algebras

Claudio Procesi
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Abstract

We study the algebra $Σ_n$ 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 $Σ_n$ is linearly spanned by the involutions of $S_n$.

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Claudio Procesi. 2024-06-26. Some special bases of the 2-swap algebras. https://arxiv.org/abs/2406.18687

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