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

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 $D({\mathfrak{sl}}_2(k))$.

References in corpus (1)

• Koszul duality and modular representations of semi-simple Lie algebras