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Journal of Lie Theory 21 (2011), No. 3, 703--709
Copyright Heldermann Verlag 2011

The Enveloping Algebra of the Petrogradsky-Shestakov-Zelmanov Algebra is not Graded-Nil in the Critical Characteristics

Iaroslav Krylyouk
De Anza College, 21250 Stevens Creek Blvd., Cupertino, CA 95014, U.S.A.

It is shown that enveloping algebras of Petrogradsky-Shestakov-Zelmanov Lie algebras of characteristic p = n2 + n + 1 are not graded nil.

Keywords: Enveloping Algebra, Petrogradsky-Shestakov-Zelmanov Algebra.

MSC: 17B05, 17B50, 17B66, 16P90, 11B39

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