Author/Authors :
Külshammer, Burkhard Institute for Mathematics - University of Jena, Germany , Landrock, Pierre Institute for Mathematics - University of Jena, Germany , Reinhardt, Stephanie Institute for Mathematics - University of Jena, Germany
Abstract :
Motivated by a problem concerning the structure of certain 3-
blocks of defect 2 in finite groups we investigate a class of local algebras of
dimension 9 over a field of characteristic 3. In particular, we compute the
complexity of the unique simple module for any such algebra.
Keywords :
Block , defect , symmetric algebra , complexity