Lectures on Invariant Theory by Igor Dolgachev (English) Paperback Book
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Lectures on Invariant Theory by Igor Dolgachev (English) Paperback Book
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Specificaties
- Objectstaat
- ISBN-13
- 9780521525480
- Book Title
- Lectures on Invariant Theory
- ISBN
- 9780521525480
Over dit product
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521525489
ISBN-13
9780521525480
eBay Product ID (ePID)
2341148
Product Key Features
Number of Pages
238 Pages
Language
English
Publication Name
Lectures on Invariant Theory
Publication Year
2003
Subject
Algebra / Linear, Geometry / Differential, General, Algebra / General, Geometry / Algebraic
Type
Textbook
Subject Area
Mathematics
Series
London Mathematical Society Lecture Note Ser.
Format
Perfect
Dimensions
Item Height
0.6 in
Item Weight
12.7 Oz
Item Length
9 in
Item Width
6 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2002-073456
Reviews
'Besides interested graduate students and experts, I recommend the book also to mathematicians and theoretical physicists whose research may require invariant theory, representation theory or algebraic geometry.' Acta Scientiarum Mathematicarum, 'The exposition is very systematic, lucid and sufficiently detailed. it certainly [reflects] the author's passion, versatility, all-round knowledge in mathematics, and mastery as both an active researcher and devoted teacher. It is very gratifying to see this beautiful, modern and still down-to-earth introduction to classical and contemporary invariant theory at the public's disposal � ' Zentralblatt f� athematik, 'The exposition is very systematic, lucid and sufficiently detailed. it certainly [reflects] the author's passion, versatility, all-round knowledge in mathematics, and mastery as both an active researcher and devoted teacher. It is very gratifying to see this beautiful, modern and still down-to-earth introduction to classical and contemporary invariant theory at the public's disposal ...' Zentralblatt für Mathematik, '?The exposition is very systematic, lucid and sufficiently detailed. it certainly [reflects] the author?'s passion, versatility, all-round knowledge in mathematics, and mastery as both an active researcher and devoted teacher. It is very gratifying to see this beautiful, modern and still down-to-earth introduction to classical and contemporary invariant theory at the public?'s disposal ? Zentralblatt f'r Mathematik, ‘The exposition is very systematic, lucid and sufficiently detailed. it certainly [reflects] the author’s passion, versatility, all-round knowledge in mathematics, and mastery as both an active researcher and devoted teacher. It is very gratifying to see this beautiful, modern and still down-to-earth introduction to classical and contemporary invariant theory at the public’s disposal …’Zentralblatt für Mathematik, 'The exposition is very systematic, lucid and sufficiently detailed. it certainly [reflects] the author's passion, versatility, all-round knowledge in mathematics, and mastery as both an active researcher and devoted teacher. It is very gratifying to see this beautiful, modern and still down-to-earth introduction to classical and contemporary invariant theory at the public's disposal …' Zentralblatt fr Mathematik
Dewey Edition
21
Series Volume Number
Series Number 296
Illustrated
Yes
Dewey Decimal
512.5
Table Of Content
1. The symbolic method; 2. The first fundamental theorem; 3. Reductive algebraic groups; 4. Hilbert's fourteenth problem; 5. Algebra of covariants; 6. Quotients; 7. Linearization of actions; 8. Stability; 9. Numerical criterion of stability; 10. Projective hypersurfaces; 11. Configurations of linear subspaces; 12. Toric varieties.
Synopsis
The primary goal of this 2003 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., Based on lectures given at University of Michigan, Harvard University and Seoul National University, this 2003 book is a brief introduction to the main ideas of algebraic and geometric invariant theory. The emphasis is on concrete examples and there are numerous examples and exercises to aid the reader., 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.
LC Classification Number
QA201 .D65 2002
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