Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9497182 | Journal of Pure and Applied Algebra | 2005 | 20 Pages |
Abstract
Let F be a field of characteristic zero. In this paper we study the variety of Leibniz algebras VË1 defined by the identity y1(y2y3)(y4y5)â¡0. We give a complete description of the space of multilinear identities in the language of Young diagrams through the representation theory of the symmetric group. As an outcome we show that the variety VË1 has almost polynomial growth, i.e., the sequence of codimensions of VË1 cannot be bounded by any polynomial function but any proper subvariety of VË1 as polynomial growth.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
S. Mishchenko, A. Valenti,