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arXiv · 1504.06757

Hochschild cohomology of $U(\mathfrak{sl}_2(k))$

Matthew Towers
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Abstract

Let $k$ be an algebraically closed field of characteristic $p>2$. We determine the Hochschild cohomology of $U(\mathfrak{sl}_2(k))$ and the invariants of $\mathfrak{sl}_2(k)$ and $\mathsf{SL}_2(k)$ in the adjoint action on the divided power algebra $D(\mathfrak{sl}_2(k))$.

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Matthew Towers. 2015-04-25. Hochschild cohomology of $U(\mathfrak{sl}_2(k))$. https://arxiv.org/abs/1504.06757

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