Linear Algebraic Groups (Graduate Texts in Mathematics, 126, Band 126) - gebunden oder broschiert

EAN (ISBN-13): 9780387973708
ISBN (ISBN-10): 0387973702
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 1991
Herausgeber: Springer
308 Seiten
Gewicht: 0,625 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2007-03-22T19:00:48+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-04-28T10:11:49+02:00 (Berlin)
ISBN/EAN: 0387973702

ISBN - alternative Schreibweisen:
0-387-97370-2, 978-0-387-97370-8
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: borel armand, halmos, springer
Titel des Buches: linear algebraic groups, graduate texts mathematics, linear algebra, group algebraic, 126, wei, the group

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Daten vom Verlag:

Autor/in: Armand Borel
Titel: Graduate Texts in Mathematics; Linear Algebraic Groups
Verlag: Springer; Springer US
290 Seiten
Erscheinungsjahr: 1991-04-18
New York; NY; US
Gewicht: 1,350 kg
Sprache: Englisch
64,19 € (DE)
65,99 € (AT)
71,00 CHF (CH)
POD

BB; Book; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Gruppen und Gruppentheorie; Verstehen; algebraic group; linear algebra; Lie algebra; commutative algebra; algebra; C; Topological Groups, Lie Groups; Topological Groups and Lie Groups; Mathematics and Statistics; BC; EA

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.