
Journal of Lie Theory 12 (2002), No. 2, 369395 Copyright Heldermann Verlag 2002 Polynomial Identities in Smash Products Yuri Bahturin Dept. of Mathematics and Statistics, Memorial University, St. John's, NF A1C 5S7, Canada Victor M. Petrogradsky Faculty of Mathematics, Ulyanovsk State University, Lev Tolstoy 42, 432700 Ulyanovsk, Russia Suppose that a group G acts by aumorphisms on a (restricted) Lie algebra L over a field K of positive characteristic. This gives rise to smash products U(L) # K[G] and u(L)# K[G]. We find necessary and sufficient conditions for these smash products to satisfy a nontrivial polynomial identity. [ Fulltextpdf (287 KB)] 