Basic Theory of Algebraic Groups and Lie Algebras.pdf

Basic Theory of Algebraic Groups and Lie Algebras

G. P. Hochschild

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

He developed the subject in the spirit of classical Lie theory by associating to each group its Lie algebra and by utilizing a formal exponential mapping from the Lie ...

1461381169 ISBN
Englisch SPRACHE
Basic Theory of Algebraic Groups and Lie Algebras.pdf


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