Exceptional Lie Algebras

£190.00

Exceptional Lie Algebras

Algebra

Author: N. Jacobson

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Collection: Lecture Notes in Pure and Applied Mathematics

Language: English

Published by: Routledge

Published on: 19th October 2017

Format: LCP-protected ePub

Size: 5 Mb

ISBN: 9781351449380


Introduction

This volume presents a set of models for the exceptional Lie algebras over algebraically closed fields of characteristic 0 and over the field of real numbers. The models given are based on the algebras of Cayley numbers (octonions) and on exceptional Jordan algebras. They are also valid for characteristics p * 2.

Contents

The book also provides an introduction to the problem of forms of exceptional simple Lie algebras, especially the exceptional D4's, E6's, and E7's. These are studied by means of concrete realizations of the automorphism groups.

Audience

Exceptional Lie Algebras is a useful tool for the mathematical public in general—especially those interested in the classification of Lie algebras or groups—and for theoretical physicists.

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