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Science/Engineering Lectures on Invariant Theory

Posted on 2010-03-16




Name:Science/Engineering Lectures on Invariant Theory
ASIN/ISBN:0521525489
Language:English
File size:1.47 Mb
Publish Date: August 25, 2003
ISBN: 0521525489
Pages: 236 pages
File Type: PDF
File Size: 1.47 mb
Other Info: Cambridge University Press
   Science/Engineering Lectures on Invariant Theory

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Lectures on Invariant Theory

This introduction to the main ideas of algebraic and geometric invariant theory assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, and the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples that originate in classical algebraic geometry. Written in an accessible style with many examples and exercises, the book offers a novel discussion of possible linearizations of actions and the variation of quotients under the change of linearization.

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