Singular blocks of restricted sl3

Abstract

We compute generators and relations for the basic algebra of a non-semisimple singular block of the restricted enveloping algebra of ${\mathfrak{sl}}_3$ over an algebraically closed field of characteristic $p>3$. Working directly with the basic algebra we compute its centre and the internal degree zero part of its first Hochschild cohomology, and show its Verma modules are Koszul.

References in corpus (1)

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