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Identities of Algebras and their Representations - Mathematics

Algebra

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Description

Explore the evolving landscape of associative algebras, Lie algebras, and their representations with this specialized mathematical monograph. This text examines the significant trends that have emerged over the last forty years, driven by the influence of mathematical logic and universal algebra. Readers will find a detailed look at the theory of varieties and identities within these mathematical structures. A central focus of this work is the development of the method of 2-words and alpha-functions. This specific approach has provided a unified way to address various problems across the theory of groups, rings, Lie algebras, and their representations. As the possibilities of this method continue to expand, this book serves as a foundational resource for researchers and students tracking these mathematical advancements. It provides the necessary context for understanding how modern logic shapes the study of algebraic identities and representation theory.

Key Features

Covers forty years of trends in associative and Lie algebras influenced by mathematical logic and universal algebra.

Provides an in-depth look at the theory of varieties and identities for algebras and their representations.

Explains the method of 2-words and alpha-functions used to solve complex problems in a unified way.

Addresses mathematical problems across groups, rings, and Lie algebras within a single framework.

Part of the Translations of Mathematical Monographs series published by the American Mathematical Society.

Product Specifications

Format: hardcover
ASIN: 0821846086
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 03 November 1994
Listed Since: 10 December 2006

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Identities of Algebras and their Representations - Mathematics

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