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Lectures on Invariant Theory
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The primary goal of this book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It 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, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.
Cambridge University Press; August 2003
238 pages; ISBN 9780511894008
Read online, or download in secure PDF format
238 pages; ISBN 9780511894008
Read online, or download in secure PDF format
Subject categories
- Academic > Mathematics > Algebra > Invariants
- Academic > Mathematics > General
- Mathematics > Algebra
ISBNs
9780521525480
9780511894008
0511894007