New varieties for algebras
Abstract
Abstract: In this talk, we will introduce new affine algebraic varieties
for algebras given by quiver and relations. Each variety contains a
distinguished element in the form of a monomial algebra. The properties
and characteristics of this monomial algebra govern those of all other
algebras in the variety. We will show how amongst other things this gives
rise to a new way to determine whether an algebra is quasi-hereditary.
This is a report on joint work both with Ed Green and with Ed Green and
Lutz Hille.