Group algebras and enveloping algebras with nonmatrix and semigroup identities
表示论
2012-02-17 v1 群论
环与代数
摘要
Let K be a field of positive characteristic p, let R be either a group algebra K[G] or a restricted enveloping algebra u(L), and let I be the augmentation ideal of R. We first characterize those R for which I satisfies a polynomial identity not satisfied by the algebra of all 2-by-2 matrices over K. Then we examine those R for which I satisfies a semigroup identity (that is, a polynomial identity which can be written as the difference of two monomials).
引用
@article{arxiv.math/9802043,
title = {Group algebras and enveloping algebras with nonmatrix and semigroup identities},
author = {David M. Riley and Mark C. Wilson},
journal= {arXiv preprint arXiv:math/9802043},
year = {2012}
}
备注
11 pages. Written in LaTeX2e