GERSTENHABER BRACKETS FOR SKEW GROUP ALGEBRAS IN POSITIVE CHARACTERISTIC

The deformation theory of an algebra is controlled by the Gerstenhaber bracket, a Lie bracket on Hochschild cohomology. We develop techniques for evaluating brackets semidirect product algebras recording actions finite groups over fields positive characteristic. cohomology and these skew group can be complicated when characteristic underlying field divides order. show how to investigate using twisted resolutions, which are often smaller more convenient than cumbersome bar resolution typically used. These resolutions provide concrete description suitable exploring questions in theory. demonstrate with prototypical example Drinfeld Hecke (graded algebra)