Matthew Towers
Published 2014-06-04, updated 2016-09-23Version 3
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.
Quivers of monoids with basic algebras
On the Lie algebra structure of the first Hochschild cohomology of gentle algebras and Brauer graph algebras
On solvability of the first Hochschild cohomology of a finite-dimensional algebra
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