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Basic Theory of Algebraic Groups and Lie Algebras by Gerhard P. Hochschild (auth.) is a nonfiction available to read on EtoBox.

What is Basic Theory of Algebraic Groups and Lie Algebras about?

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 me

Who reads Basic Theory of Algebraic Groups and Lie Algebras?

Author

Gerhard P. Hochschild (auth.)

Publisher

Springer Science & Business Media

Published

1981

Language

EN

ISBN

9781461381167

Category

nonfiction

Subjects

Mathematics, Stem