ABSTRACT
In modular representation theory, the Brauer star algebras play a very special role, being the “local” blocks corresponding under the Brauer correspondence to the “global” blocks of a group ring of cyclic defect group. Every block of cyclic defect group can be obtained by tilting from a Brauer star algebra. Among the various tilting complexes for the Brauer star algeras, we distinguish a subclass, which we will call two-restricted tilting complexes, of a special combinatorial character. In this paper we determine necessary conditions for a two-restricted complex to be a partial tilting complex for the Brauer star algebra
