An application of representation theory to PI-algebras-Reference-Cited by-同舟云学术

An application of representation theory to PI-algebras

Published:1976 Issue:2 Volume:55 Page:253-257
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Olsson Jørn B.,Regev Amitai

Abstract

By realizing that the multilinear identities of degree n n of a P I PI -algebra form a left ideal in the group algebra F [ S n ] F[{S_n}] , it is possible sometimes to use the representation theory of the symmetric group S n {S_n} in the study of T T -ideals and P I PI -algebras. In this note we demonstrate this method by proving: Theorem. If the codimensions of a P I PI -algebra are bounded, then they are eventually bounded by 1 1 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1976-055-02/S0002-9939-1976-0399154-1/S0002-9939-1976-0399154-1.pdf

Reference7 articles.

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3. The codimensions of a 𝑃𝐼-algebra;Klein, A. A.;Israel J. Math.,1972

4. The polynomial identities of the Grassmann algebra;Krakowski, D.;Trans. Amer. Math. Soc.,1973

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