A 9-dimensional algebra which is not a block of a finite group

2020/05/05 by Linckelmann, Markus, Murphy, William
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2005.02223

Abstract

We rule out a certain 9-dimensional algebra over an algebraically closed field to be the basic algebra of a block of a finite group, thereby completing the classification of basic algebras of dimension at most 12 of blocks of finite group algebras.

Related

• Finite dimensional algebras not arising as blocks of group algebras
• Blocks of group algebras are derived simple
• On algebras that almost have finite dimensional representations
• Infinitely many algebras derived equivalent to a block
• Algebras of finite global dimension