Journal of Lie TheoryVol. 12, No. 2, pp. 369--395 (2002)
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Journal of Lie Theory Vol. 12, No. 2, pp. 369--395 (2002) |
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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
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