Printer Friendly

Polynomial identities and asymptotic methods.

0821838296

Polynomial identities and asymptotic methods.

Giambruno, Antonio and Mikhail Zaicey.

Amer. Mathematical Society

2005

352 pages

$85.00

Hardcover

Mathematical surveys and monographs; v.122

QA251

Giambruno and Zaicey show how to combine methods of ring theory, combinatorics and representation theory of groups with an analytical approach to study the polynomial identities satisfied by a given algebra, In the process they describe such topics as polynomial identities and PI-algebras, Sn-representations, group gradings and group actions, codimentation and colength growth, matrix invariants and central polynomials, the PI-exponent of an algebra, polynomial growth the low PI-exponent, classifying minimal variables, computing the exponent of a polynomial, G-identities and related action, superalgebras, 8-algebras and codimension growth, Lie algebras and non-associative algebras, and in an appendix, the generalized six-square theorem.

([c]20062005 Book News, Inc., Portland, OR)
COPYRIGHT 2006 Book News, Inc.
No portion of this article can be reproduced without the express written permission from the copyright holder.
Copyright 2006 Gale, Cengage Learning. All rights reserved.

Article Details
Printer friendly Cite/link Email Feedback
Publication:SciTech Book News
Article Type:Book Review
Date:Mar 1, 2006
Words:133
Previous Article:Spectral properties of banded Toeplitz matrices.
Next Article:Variational analysis in Sobolev and BV spaces; applications to PDEs and optimization.
Topics:


Related Articles
The convolution transform. (reprint, 1955).
Interferogram analysis for optical testing, 2d ed.
Arithmetic properties of commutative rings and monoids.
Topological and asymptotic aspects of group theory; proceedings.
Computational Complexity: Proceedings.
Introduction to asymptotic methods.
Inequalities from Complex Analysis.
Finite sections of band-dominated operators.
Integrable systems and random matrices; proceedings.
Computational complexity; proceedings.

Terms of use | Copyright © 2018 Farlex, Inc. | Feedback | For webmasters