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 finit...
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| Format: | Book |
| Language: | English |
| Published: |
Cambridge ; New York :
Cambridge University Press,
2003.
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| Series: | London Mathematical Society lecture note series ;
296. |
| Subjects: | |
| Online Access: | Table of contents Kostenfrei Publisher description 1850-9999 |
| Summary: | 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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| Physical Description: | xvi, 220 pages : illustrations ; 23 cm. |
| Bibliography: | Includes bibliographical references (pages 205-213) and index. |
| ISBN: | 0521525489 9780521525480 |