This article is cited in 5 papers

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New example of a variety of lie algebras with fractional exponent

S. S. Mishchenko

Ulyanovsk State University

Abstract: In the case of characteristic zero, the variety generated by a simple infinite-dimensional Lie algebra of Cartan type $W_2$ has a fractional exponent.

Key words: infinite-dimensional Lie algebra of Cartan type, identity, growth of the codimensions, exponent of the variety.

UDC: 512.8

Received: 27.02.2011

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