Journal of Lie Theory Vol. 12, No. 2, pp. 369395 (2002) 

Polynomial Identities in Smash ProductsYu. Bahturin and V. M. PetrogradskyYu. BahturinDepartment of Mathematics and Statistics Memorial University of Newfoundland St. John's, NF A1C 5S7 Canada yuri@math.mun.ca V. M. Petrogradsky Ulyanovsk State University Lev Tolstoy 42, Ulyanovsk 432700 Russia vmp@mmf.ulsu.ru Abstract: 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. Full text of the article:
Electronic fulltext finalized on: 6 May 2002. This page was last modified: 21 May 2002.
© 2002 Heldermann Verlag
