Linear Algebraic Groups: Graduate Texts in Mathematics, cartea 126
Autor Armand Borelen Limba Engleză Paperback – 30 sep 2012
Toate formatele și edițiile | Preț | Express |
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Paperback (1) | 422.11 lei 6-8 săpt. | |
Springer – 30 sep 2012 | 422.11 lei 6-8 săpt. | |
Hardback (1) | 444.09 lei 38-44 zile | |
Springer – 17 apr 1991 | 444.09 lei 38-44 zile |
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Specificații
ISBN-13: 9781461269540
ISBN-10: 1461269547
Pagini: 308
Ilustrații: XI, 290 p.
Dimensiuni: 155 x 235 x 22 mm
Greutate: 0.44 kg
Ediția:2nd ed. 1991. Softcover reprint of the original 2nd ed. 1991
Editura: Springer
Colecția Springer
Seria Graduate Texts in Mathematics
Locul publicării:New York, NY, United States
ISBN-10: 1461269547
Pagini: 308
Ilustrații: XI, 290 p.
Dimensiuni: 155 x 235 x 22 mm
Greutate: 0.44 kg
Ediția:2nd ed. 1991. Softcover reprint of the original 2nd ed. 1991
Editura: Springer
Colecția Springer
Seria Graduate Texts in Mathematics
Locul publicării:New York, NY, United States
Public țintă
Lower undergraduateCuprins
AG—Background Material From Algebraic Geometry.- §1. Some Topological Notions.- §2. Some Facts from Field Theory.- §3. Some Commutative Algebra.- §4. Sheaves.- §5. Affine K-Schemes, Prevarieties.- §6. Products; Varieties.- §7. Projective and Complete Varieties.- §8. Rational Functions; Dominant Morphisms.- §9. Dimension.- §10. Images and Fibres of a Morphism.- §11. k-structures on K-Schemes.- §12. k-Structures on Varieties.- §13. Separable points.- §14. Galois Criteria for Rationality.- §15. Derivations and Differentials.- §16. Tangent Spaces.- §17. Simple Points.- §18. Normal Varieties.- References.- I—General Notions Associated With Algebraic Groups.- §1. The Notion of an Algebraic Groups.- §2. Group Closure; Solvable and Nilpotent Groups.- §3. The Lie Algebra of an Algebraic Group.- §4. Jordan Decomposition.- II — Homogeneous Spaces.- §5. Semi-Invariants.- §6. Homogeneous Spaces.- §7. Algebraic Groups in Characteristic Zero.- III Solvable Groups.- §8. Diagonalizable Groups and Tori.- §9. Conjugacy Classes and Centralizers of Semi-Simple Elements.- §10. Connected Solvable Groups.- IV—Borel Subgroups; Reductive Groups.- §11. Borel Subgroups.- §12. Cartan Subgroups; Regular Elements.- §13. The Borel Subgroups Containing a Given Torus.- §14. Root Systems and Bruhat Decomposition in Reductive Groups.- V—Rationality Questions.- §15. Split Solvable Groups and Subgroups.- §16. Groups over Finite Fields.- §17. Quotient of a Group by a Lie Subalgebra.- §18. Cartan Subgroups over the Groundfield. Unirationality. Splitting of Reductive Groups.- §19. Cartan Subgroups of Solvable Groups.- §20. Isotropic Reductive Groups.- §21. Relative Root System and Bruhat Decomposition for Isotropic Reductive Groups.- §22. Central Isogenies.- §23. Examples.- §24. Survey of Some Other Topics.- A. Classification.- B. Linear Representations.- C. Real Reductive Groups.- References for Chapters I to V.- Index of Definition.- Index of Notation.
Caracteristici
Reprint of a successful expanded edition of a well-received book Presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces Requires only some familiarity with algebraic geometry