Group algebras and enveloping algebras with nonmatrix and semigroup identities

Details Group algebras and enveloping algebras with nonmatrix and semigroup identities Group algebras and enveloping algebras with nonmatrix and semigroup identities

1998-02-08

arxiv.org/abs/math/9802043v1

Communications in Algebra 27(1999), 3545-3556

Mathematics

Representation Theory

11 pages. Written in LaTeX2e

Scientific paper

10.1080/00927879908826645

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).

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