This book gives an introduction to the representation theory of finite groups and finite
dimensional algebras via homological algebra. In particular, it emphasises common …

We construct an action of a braid group associated to a complete graph on the derived
category of a certain symmetric Nakayama algebra which is also a Brauer star algebra with …

In this paper we define and determine the p-regular subspace of symmetric Nakayama
algebras. We also determine the 2-regular subspaces of algebras of dihedral and …

In this paper, we define support tau (n)-tilting modules over a finite dimensional k-algebra A.
We establish a bijection between support tau (n)-tilting modules and n-term silting …

We construct a diagram between the endomorphism algebra of a two-term projective
module complex over a self-injective algebra and the endomorphism algebras of its …

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The derived category of an algebra was introduced in Chap. 3. In this Chap. 6 we shall study
equivalences between the derived categories of two algebras. The main result is Rickard's …