Share Catalogue

Storico ricerche

Pubblicazioni (Istanze)

Vai a Persone/Opere

Home / (Tutto) >> Borel Armand

Info

Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.

Info

Utilizzare questo link per rimuovere la selezione effettuata.

Export / Download (0)

Esporta in PDF
Esporta in Excel
Esporta in HTML
Esporta in MARC (binario)
Esporta in MARC XML
Esporta in MARC (testo)
Invia tramite E-Mail

Biblioteca

Univ. Federico II (10)
Univ. di Salerno (2)

Tutto
+

MARC Lista (tabellare)

Seleziona tutti

Almost commuting elements in compact Lie groups / / Armand Borel, Robert Friedman, John W. Morgan

Borel Armand

Providence, Rhode Island : , : American Mathematical Society, , [2002]

Materiale a stampa

Lo trovi qui: Univ. Federico II

Opac:

Controlla la disponibilità qui

Almost commuting elements in compact Lie groups / / Armand Borel, Robert Friedman, John W. Morgan

Borel Armand

Providence, Rhode Island : , : American Mathematical Society, , [2002]

Materiale a stampa

Lo trovi qui: Univ. Federico II

Opac:

Controlla la disponibilità qui

Almost commuting elements in compact Lie groups / / Armand Borel, Robert Friedman, John W. Morgan

Borel Armand

Providence, Rhode Island : , : American Mathematical Society, , [2002]

Materiale a stampa

Lo trovi qui: Univ. Federico II

Opac:

Controlla la disponibilità qui

Cohomologie des espaces localement compacts d'apres J. Leray [[electronic resource] ] : Exposes faits au Seminaire de topologie algebrique de l'Ecole polytechnique federale au printemps 1951 / / by Armand Borel

Borel Armand

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1964

Materiale a stampa

Lo trovi qui: Univ. di Salerno

Opac:

Controlla la disponibilità qui

Essays in the history of Lie groups and algebraic groups / / Armand Borel

Borel Armand

Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2001

Materiale a stampa

Lo trovi qui: Univ. Federico II

Opac:

Controlla la disponibilità qui

Essays in the history of Lie groups and algebraic groups / / Armand Borel

Borel Armand

Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2001

Materiale a stampa

Lo trovi qui: Univ. Federico II

Opac:

Controlla la disponibilità qui

Essays in the history of Lie groups and algebraic groups / / Armand Borel

Borel Armand

Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2001

Materiale a stampa

Lo trovi qui: Univ. Federico II

Opac:

Controlla la disponibilità qui

Linear Algebraic Groups [[electronic resource] /] / by Armand Borel

Borel Armand

New York, NY : , : Springer New York : , : Imprint : Springer, , 1991

Materiale a stampa

Lo trovi qui: Univ. Federico II

Opac:

Controlla la disponibilità qui

Linear Algebraic Groups [[electronic resource] /] / by Armand Borel

Borel Armand

New York, NY : , : Springer New York : , : Imprint : Springer, , 1991

Materiale a stampa

Lo trovi qui: Univ. Federico II

Opac:

Controlla la disponibilità qui

Linear Algebraic Groups / / by Armand Borel

Borel Armand

New York, NY : , : Springer New York : , : Imprint : Springer, , 1991

Materiale a stampa

Lo trovi qui: Univ. Federico II

Opac:

Controlla la disponibilità qui

1 2

Autore (Ente)

Autore (Convegno)

Opere

Altro...

Pubbl/distr/stampa

Altro...

Lingua di pubblicazione

Inglese (11)
Francese (1)

Data

Data di pubblicazione

1991 (3)
2001 (3)
2002 (3)
1961 (1)
1964 (1)
1986 (1)
2016 (1)

Autore	Borel Armand
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , [2002]
Descrizione fisica	1 online resource (153 p.)
Disciplina	510 s 512/.55
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Lie groups Compact groups Root systems (Algebra)
Soggetto genere / forma	Electronic books.
ISBN	1-4704-0340-4
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Chapter 1. Introduction""; ""1.1. Preliminaries""; ""1.2. The case of commuting pairs in a simply connected group""; ""1.3. c-pairs""; ""1.4. Commuting triples""; ""1.5. C-triples""; ""1.6. Quotients of diagram automorphisms""; ""1.7. Description of S(k) and S[sup(Ï?c)](g,k)""; ""1.8. Chern-Simons invariants and Witten's ""Clockwise Symmetry Conjecture""""; ""1.9. Outline of the paper""; ""1.10. History""; ""Chapter 2. Almost commuting N-tuples""; ""2.1. An invariant for almost commuting N-tuples""; ""2.2. The case of rank zero""; ""2.3. The case of arbitrary rank"" ""Chapter 3. Some characterizations of groups of type A""""3.1. Generalities on subroot systems""; ""3.2. Action of CG on an alcove""; ""3.3. A first characterization of groups of type A""; ""3.4. Subgroups associated with elements of the center""; ""3.5. A further characterization of products of groups of type A""; ""3.6. A consequence of Proposition 3.5.1""; ""3.7. Application to generalized Cartan matrices and affine diagrams""; ""3.8. Numerology of clockwise symmetry""; ""Chapter 4. c-pairs""; ""4.1. The rank zero case""; ""4.2. The general case""; ""Chapter 5. Commuting triples"" ""5.1. Commuting triples of rank zero""""5.2. A list of all simple groups with rank zero commuting triples""; ""5.3. Action of the outer automorphism group of G""; ""5.4. Action of the center of G""; ""5.5. The general case""; ""Chapter 6. Some results on diagram automorphisms and associated root systems""; ""6.1. A chamber structure and a Coxeter group on the fixed subspace""; ""6.2. The restricted root system and the projection root system""; ""6.3. Generalized Cartan matrices for Î?[sup(res)](l) and Î?[sup(proj)](l)[sup(v)]""; ""6.4. The case of an outer automorphism"" ""6.5. Further results under an additional hypothesis""""6.6. The case of a subgroup of CÎ?""; ""6.7. Proof of Theorem 1.6.2""; ""Chapter 7. The fixed subgroup of an automorphism""; ""7.1. A first description of the component group""; ""7.2. Special automorphisms""; ""7.3. A complete description of the component group""; ""7.4. The roots of H[sup(Ï?)]""; ""7.5. The case of c-pairs""; ""7.6. Variation of Ï€[sub(0)](Z(x,y)) as x varies""; ""Chapter 8. C-triples""; ""8.1. c-triples of rank zero""; ""8.2. The maximal torus of a c-triple of order k""; ""8.3. The number of components"" ""10.2. Flat connections and the Chern-Simons invariant""
Record Nr.	UNINA-9910480939903321

Autore	Borel Armand
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , [2002]
Descrizione fisica	1 online resource (153 p.)
Disciplina	510 s 512/.55
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Lie groups Compact groups Root systems (Algebra)
ISBN	1-4704-0340-4
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Chapter 1. Introduction""; ""1.1. Preliminaries""; ""1.2. The case of commuting pairs in a simply connected group""; ""1.3. c-pairs""; ""1.4. Commuting triples""; ""1.5. C-triples""; ""1.6. Quotients of diagram automorphisms""; ""1.7. Description of S(k) and S[sup(Ï?c)](g,k)""; ""1.8. Chern-Simons invariants and Witten's ""Clockwise Symmetry Conjecture""""; ""1.9. Outline of the paper""; ""1.10. History""; ""Chapter 2. Almost commuting N-tuples""; ""2.1. An invariant for almost commuting N-tuples""; ""2.2. The case of rank zero""; ""2.3. The case of arbitrary rank"" ""Chapter 3. Some characterizations of groups of type A""""3.1. Generalities on subroot systems""; ""3.2. Action of CG on an alcove""; ""3.3. A first characterization of groups of type A""; ""3.4. Subgroups associated with elements of the center""; ""3.5. A further characterization of products of groups of type A""; ""3.6. A consequence of Proposition 3.5.1""; ""3.7. Application to generalized Cartan matrices and affine diagrams""; ""3.8. Numerology of clockwise symmetry""; ""Chapter 4. c-pairs""; ""4.1. The rank zero case""; ""4.2. The general case""; ""Chapter 5. Commuting triples"" ""5.1. Commuting triples of rank zero""""5.2. A list of all simple groups with rank zero commuting triples""; ""5.3. Action of the outer automorphism group of G""; ""5.4. Action of the center of G""; ""5.5. The general case""; ""Chapter 6. Some results on diagram automorphisms and associated root systems""; ""6.1. A chamber structure and a Coxeter group on the fixed subspace""; ""6.2. The restricted root system and the projection root system""; ""6.3. Generalized Cartan matrices for Î?[sup(res)](l) and Î?[sup(proj)](l)[sup(v)]""; ""6.4. The case of an outer automorphism"" ""6.5. Further results under an additional hypothesis""""6.6. The case of a subgroup of CÎ?""; ""6.7. Proof of Theorem 1.6.2""; ""Chapter 7. The fixed subgroup of an automorphism""; ""7.1. A first description of the component group""; ""7.2. Special automorphisms""; ""7.3. A complete description of the component group""; ""7.4. The roots of H[sup(Ï?)]""; ""7.5. The case of c-pairs""; ""7.6. Variation of Ï€[sub(0)](Z(x,y)) as x varies""; ""Chapter 8. C-triples""; ""8.1. c-triples of rank zero""; ""8.2. The maximal torus of a c-triple of order k""; ""8.3. The number of components"" ""10.2. Flat connections and the Chern-Simons invariant""
Record Nr.	UNINA-9910788846203321

Autore	Borel Armand
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , [2002]
Descrizione fisica	1 online resource (153 p.)
Disciplina	510 s 512/.55
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Lie groups Compact groups Root systems (Algebra)
ISBN	1-4704-0340-4
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Chapter 1. Introduction""; ""1.1. Preliminaries""; ""1.2. The case of commuting pairs in a simply connected group""; ""1.3. c-pairs""; ""1.4. Commuting triples""; ""1.5. C-triples""; ""1.6. Quotients of diagram automorphisms""; ""1.7. Description of S(k) and S[sup(Ï?c)](g,k)""; ""1.8. Chern-Simons invariants and Witten's ""Clockwise Symmetry Conjecture""""; ""1.9. Outline of the paper""; ""1.10. History""; ""Chapter 2. Almost commuting N-tuples""; ""2.1. An invariant for almost commuting N-tuples""; ""2.2. The case of rank zero""; ""2.3. The case of arbitrary rank"" ""Chapter 3. Some characterizations of groups of type A""""3.1. Generalities on subroot systems""; ""3.2. Action of CG on an alcove""; ""3.3. A first characterization of groups of type A""; ""3.4. Subgroups associated with elements of the center""; ""3.5. A further characterization of products of groups of type A""; ""3.6. A consequence of Proposition 3.5.1""; ""3.7. Application to generalized Cartan matrices and affine diagrams""; ""3.8. Numerology of clockwise symmetry""; ""Chapter 4. c-pairs""; ""4.1. The rank zero case""; ""4.2. The general case""; ""Chapter 5. Commuting triples"" ""5.1. Commuting triples of rank zero""""5.2. A list of all simple groups with rank zero commuting triples""; ""5.3. Action of the outer automorphism group of G""; ""5.4. Action of the center of G""; ""5.5. The general case""; ""Chapter 6. Some results on diagram automorphisms and associated root systems""; ""6.1. A chamber structure and a Coxeter group on the fixed subspace""; ""6.2. The restricted root system and the projection root system""; ""6.3. Generalized Cartan matrices for Î?[sup(res)](l) and Î?[sup(proj)](l)[sup(v)]""; ""6.4. The case of an outer automorphism"" ""6.5. Further results under an additional hypothesis""""6.6. The case of a subgroup of CÎ?""; ""6.7. Proof of Theorem 1.6.2""; ""Chapter 7. The fixed subgroup of an automorphism""; ""7.1. A first description of the component group""; ""7.2. Special automorphisms""; ""7.3. A complete description of the component group""; ""7.4. The roots of H[sup(Ï?)]""; ""7.5. The case of c-pairs""; ""7.6. Variation of Ï€[sub(0)](Z(x,y)) as x varies""; ""Chapter 8. C-triples""; ""8.1. c-triples of rank zero""; ""8.2. The maximal torus of a c-triple of order k""; ""8.3. The number of components"" ""10.2. Flat connections and the Chern-Simons invariant""
Record Nr.	UNINA-9910812749903321

Autore	Borel Armand
Edizione	[3rd ed. 1964.]
Pubbl/distr/stampa	Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1964
Descrizione fisica	1 online resource (93p.)
Disciplina	510
Collana	Lecture Notes in Mathematics
Soggetto topico	Mathematics Mathematics, general
ISBN	3-540-36803-5
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	fre
Nota di contenuto	Notions algebriques -- Les complexes -- Le theoreme fondamental -- Applications et complements -- Les faisceauk -- L'algebre spectrale -- Algebre spectrale d'une application continue -- Algebre spectrale des espaces fibres -- Applications aux espaces fibres.
Record Nr.	UNISA-996466475303316

Autore	Borel Armand
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2001
Descrizione fisica	1 online resource (185 pages) : illustrations, photographs
Disciplina	512/.55
Collana	History of Mathematics
Soggetto topico	Lie groups - History Linear algebraic groups - History
Soggetto genere / forma	Electronic books.
ISBN	1-4704-3889-5
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Record Nr.	UNINA-9910480532003321

Info

Info

Export / Download (0)

Biblioteca

Formato

Livello bibliografico

Autore (Persona)

Autore (Ente)

Autore (Convegno)

Opere

Pubbl/distr/stampa

Lingua di pubblicazione

Data

Data di pubblicazione

Soggetto (Persona)

Soggetto (Ente)

Soggetto (Convegno)

Soggetto geografico

Soggetto topico

Soggetto genere / forma

Autore	Borel Armand
Edizione	[2nd ed. 1991.]
Pubbl/distr/stampa	New York, NY : , : Springer New York : , : Imprint : Springer, , 1991
Descrizione fisica	1 online resource (XI, 290 p.)
Disciplina	512.55 512.482
Collana	Graduate Texts in Mathematics
Soggetto topico	Topological groups Lie groups Topological Groups, Lie Groups
ISBN	1-4612-0941-2
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	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.
Record Nr.	UNINA-9910480073703321

Autore	Borel Armand
Edizione	[2nd ed. 1991.]
Pubbl/distr/stampa	New York, NY : , : Springer New York : , : Imprint : Springer, , 1991
Descrizione fisica	1 online resource (XI, 290 p.)
Disciplina	512.55 512.482
Collana	Graduate Texts in Mathematics
Soggetto topico	Topological groups Lie groups Topological Groups, Lie Groups
ISBN	1-4612-0941-2
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	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.
Record Nr.	UNINA-9910789343503321

Autore	Borel Armand
Edizione	[2nd ed. 1991.]
Pubbl/distr/stampa	New York, NY : , : Springer New York : , : Imprint : Springer, , 1991
Descrizione fisica	1 online resource (XI, 290 p.)
Disciplina	512.55 512.482
Collana	Graduate Texts in Mathematics
Soggetto topico	Topological groups Lie groups Topological Groups, Lie Groups
ISBN	1-4612-0941-2
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	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.
Record Nr.	UNINA-9910828775803321