Actions and invariants of algebraic groups / Walter Ricardo Ferrer Santos and Alvaro Rittatore.
Material type:
TextSeries: Monographs and research notes in mathematicsPublication details: Boca Raton : CRC Press, ©2017.Edition: 2nd edDescription: xx, 459 pages : illustrations ; 26 cmISBN: - 9781482239157 (hardback : alk. paper)
- 512.2 23 F386
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 512.2 F386 (Browse shelf(Opens below)) | Available | 138341 |
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| 512.2 F297 Additive groups of rings | 512.2 F311 Representation theory of finite groups | 512.2 F311 Characters of finite groups | 512.2 F386 Actions and invariants of algebraic groups / | 512.2 F649 Combinatoire et representation du groupe symetrique | 512.2 F667 Semigroups : proceedings | 512.2 F752 Trivial extensions of Abelian categories |
Includes bibliographical references and indexes.
1. Algebraic geometry: basic definitions and results --
2. Algebraic varieties --
3. Lie algebras --
4. Algebraic groups: basic definitions --
5. Algebraic groups: Lie algebras and representations --
6. Algebraic groups: Jordan decomposition and applications --
7. Actions of algebraic groups --
8. Homogeneous spaces --
9. Algebraic groups and Lie algebras in characteristic zero --
10. Reductivity --
11. Observable subgroups of affine algebraic groups --
12. Affine homogeneous spaces --
12. Observable actions of affine algebraic groups --
13. Hilbert's 14th problem --
14. Quotient varieties: basic results --
15. Observable actions of affine algebaric groups --
16. Quotient varieties: an introduction to geometric invariant theory--
Appendix: basic definitions and results.
This book presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.
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