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Basic Theory of Algebraic Groups and Lie Algebras by G. P. Hochschild (Paperback, 2011)

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The theory of algebraic groups results from the interaction of various basic techniques from field theory, multilinear algebra, commutative ring theory, algebraic geometry and general algebraic representation theory of groups and Lie algebras. It is thus an ideally suitable framework for exhibiting basic algebra in action. To do that is the principal concern of this text. Accordingly, its emphasis is on developing the major general mathematical tools used for gaining control over algebraic groups, rather than on securing the final definitive results, such as the classification of the simple groups and their irreducible representations. In the same spirit, this exposition has been made entirely self-contained; no detailed knowledge beyond the usual standard material of the first one or two years of graduate study in algebra is pre supposed. The chapter headings should be sufficient indication of the content and organisation of this book. Each chapter begins with a brief announcement of its results and ends with a few notes ranging from supplementary results, amplifications of proofs, examples and counter-examples through exercises to references. The references are intended to be merely suggestions for supplementary reading or indications of original sources, especially in cases where these might not be the expected ones. Algebraic group theory has reached a state of maturity and perfection where it may no longer be necessary to re-iterate an account of its genesis. Of the material to be presented here, including much of the basic support, the major portion is due to Claude Chevalley.

Product Identifiers

Publisher
Springer-Verlag New York Inc.
ISBN-13
9781461381167
eBay Product ID (ePID)
189303754

Product Key Features

Author
G. P. Hochschild
Publication Name
Basic Theory of Algebraic Groups and Lie Algebras
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2011
Type
Textbook
Number of Pages
267 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
75
Item Weight
438g

Additional Product Features

Title_Author
G. P. Hochschild
Series Title
Graduate Texts in Mathematics
Country/Region of Manufacture
United States

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Basic Theory of Algebraic Groups and Lie Algebras by G. P. Hochschild (Paperback, 2011)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Maps of Meaning: The Architecture of Belief by Jordan B. Peterson (1999, Paperback)

Eduqas GCSE (9-1) Religious Studies Route B: Catholic Christianity and Judaism by Deirdre Cleary, Andrew Barron, Joy White, Patrick Harrison (Paperback, 2017)

Silent Spring by Rachel Carson (Paperback, 2000)

Understanding and Treating Chronic Shame: Healing Right Brain Relational Trauma by Patricia A. DeYoung (Paperback, 2021)

Time Management by Peter Quarry (Paperback, 1986)

Save on Adult Learning & University

The Australian Native Bee Hive Book: Keeping Stingless Sugarbag OATH Tim Heard

NEW Netter Atlas of Human Anatomy By Frank H. Netter Paperback Free Shipping

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