Armand Borel Linear Algebraic Groups (Taschenbuch) Graduate Texts in Mathematics - neues Buch
ISBN: 9781461269540
Autor: Armand Borel. Produktart: Taschenbuch. Title Format: Taschenbuch. Ausgabe: 2nd ed. Softcover reprint of the original 2nd ed. Zustand: Neu. Gewicht: 474g. Sprache: Englisch. Weitere… Mehr…
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ISBN: 9781461269540
This revised, enlarged edition of Linear Algebraic Groups (1969) starts by presenting foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. … Mehr…
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Linear Algebraic Groups - Taschenbuch
2012, ISBN: 1461269547
2nd ed. 1991. Softcover reprint of the original 2nd ed. 1991 Kartoniert / Broschiert Lie Algebra; Algebra; algebraic group; commutative algebra; linear algebra, mit Schutzumschlag 11, [… Mehr…
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Linear Algebraic Groups - Taschenbuch
2012, ISBN: 9781461269540
Paperback, New., 290 p. Graduate Texts in Mathematics , 126. XI, 290 p. Intended for professional and scholarly audience. Revised., New York, NY, [PU: Springer-Verlag New York Inc.]
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Linear Algebraic Groups - Taschenbuch
2012, ISBN: 1461269547
[EAN: 9781461269540], Neubuch, [PU: Springer], pp. 308, Books
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Armand Borel Linear Algebraic Groups (Taschenbuch) Graduate Texts in Mathematics - neues Buch
ISBN: 9781461269540
Autor: Armand Borel. Produktart: Taschenbuch. Title Format: Taschenbuch. Ausgabe: 2nd ed. Softcover reprint of the original 2nd ed. Zustand: Neu. Gewicht: 474g. Sprache: Englisch. Weitere… Mehr…
ISBN: 9781461269540
This revised, enlarged edition of Linear Algebraic Groups (1969) starts by presenting foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. … Mehr…
Linear Algebraic Groups - Taschenbuch
2012
ISBN: 1461269547
2nd ed. 1991. Softcover reprint of the original 2nd ed. 1991 Kartoniert / Broschiert Lie Algebra; Algebra; algebraic group; commutative algebra; linear algebra, mit Schutzumschlag 11, [… Mehr…
Linear Algebraic Groups - Taschenbuch
2012, ISBN: 9781461269540
Paperback, New., 290 p. Graduate Texts in Mathematics , 126. XI, 290 p. Intended for professional and scholarly audience. Revised., New York, NY, [PU: Springer-Verlag New York Inc.]
Linear Algebraic Groups - Taschenbuch
2012, ISBN: 1461269547
[EAN: 9781461269540], Neubuch, [PU: Springer], pp. 308, Books
Bibliographische Daten des bestpassenden Buches
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This revised, enlarged edition of Linear Algebraic Groups (1969) starts by presenting foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. It then turns to solvable groups, general properties of linear algebraic groups, and Chevally’s structure theory of reductive groups over algebraically closed groundfields. It closes with a focus on rationality questions over non-algebraically closed fields.
Detailangaben zum Buch - Linear Algebraic Groups Armand Borel Author
EAN (ISBN-13): 9781461269540
ISBN (ISBN-10): 1461269547
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2012
Herausgeber: Springer New York Core >1 >T
Buch in der Datenbank seit 2013-02-14T15:59:05+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-04-28T10:11:49+02:00 (Berlin)
ISBN/EAN: 1461269547
ISBN - alternative Schreibweisen:
1-4612-6954-7, 978-1-4612-6954-0
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: arman, armand borel, armand arma, springer
Titel des Buches: linear algebraic groups, algebra linear, group algebraic, wei
Daten vom Verlag:
Autor/in: Armand Borel
Titel: Graduate Texts in Mathematics; Linear Algebraic Groups
Verlag: Springer; Springer US
290 Seiten
Erscheinungsjahr: 2012-09-30
New York; NY; US
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
58,84 € (DE)
60,49 € (AT)
65,00 CHF (CH)
POD
XI, 290 p.
BC; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Gruppen und Gruppentheorie; Verstehen; Lie algebra; algebra; algebraic group; commutative algebra; linear algebra; Topological Groups and Lie Groups; BB; 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.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
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