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Lie Theory and Its Applications in Physics [[electronic resource] ] : Varna, Bulgaria, June 2013 / / edited by Vladimir Dobrev
Lie Theory and Its Applications in Physics [[electronic resource] ] : Varna, Bulgaria, June 2013 / / edited by Vladimir Dobrev
Autore Dobrev V. K.
Edizione [1st ed. 2014.]
Pubbl/distr/stampa Tokyo : , : Springer Japan : , : Imprint : Springer, , 2014
Descrizione fisica 1 online resource (554 p.)
Disciplina 510
512.55
512482
516
530.15
Collana Springer Proceedings in Mathematics & Statistics
Soggetto topico Geometry
Mathematical physics
Topological groups
Lie groups
Mathematical Physics
Topological Groups, Lie Groups
ISBN 4-431-55285-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Acknowledgments; Contents; List of Participants; Part I Plenary Talks; Revisiting Trace Anomalies in Chiral Theories; 1 Introduction; 2 One-Loop Trace Anomaly in Chiral Theories; 3 Pontryagin Density and Supersymmetry; 3.1 Minimal Supergravity; 3.2 Other Nonminimal Supergravities; References; Complete T-Dualization of a String in a Weakly Curved Background; 1 Bosonic String in the Weakly Curved Background; 2 Partial T-Dualization; 2.1 The Partially T-Dualized Action; 3 The Total T-Dualization of the Initial Action; References; Modular Double of the Quantum Group SLq(2,R)
1 Definitions2 Weyl Pair; 3 Explicit Realization; 4 Representation πs; 5 Quantum Dilogarithm; 6 Decomposition of πs1 πs2 ; References; Physical Ageing and New Representations of Some Lie Algebras of Local Scale-Invariance; 1 Introduction; 2 Logarithmic Representations; 2.1 Schrödinger Algebra; 2.2 Conformal Galilean Algebra; 2.3 Exotic Conformal Galilean Algebra; 2.4 Ageing Algebra; 2.5 Discussion; 3 Large-Distance Behaviour and Causality; 3.1 Schrödinger Algebra; 3.2 Conformal Galilean Algebra; 3.3 Discussion; References; New Type of N=4 Supersymmetric Mechanics; 1 Introduction
2 SU(2|1) Superspace2.1 Deformed Superspace; 2.2 Covariant Derivatives; 3 The Supermultiplet (1, 4, 3); 4 The (1, 4, 3) Oscillator Model; 4.1 Wave Functions; 4.2 Spectrum and SU(2|1) Representations; 5 The Supermultiplet (2,4,2); 5.1 Chiral Subspaces; 5.2 SU(2|1) Invariant Lagrangian; 5.3 Quantum Generators; 6 Simplified Model on a Complex Plane; 6.1 Wave Functions and Spectrum; 7 Summary and Outlook; References; Vector-Valued Covariant Differential Operators for the Möbius Transformation; 1 A Family of Vector-Valued Functional Identities; 2 Three Equivalent Formulations
2.1 Covariance of SL(2,R) for Vector-Valued Functions2.2 Conformally Covariant Differential Operators; 2.3 Branching Laws of Verma Modules; 3 Rankin-Cohen Brackets; 3.1 Homogeneous Line Bundles over P1C; 3.2 Rankin-Cohen Bidifferential Operator; 4 Holomorphic Trick; 4.1 Restriction to a Totally Real Submanifold; 4.2 Identities of Jacobi Polynomials; 4.3 Proof of Theorem A; 4.4 Scalar-Valued Case; References; Semi-classical Scalar Products in the Generalised SU(2) Model; 1 Introduction; 2 Algebraic Bethe Ansatz for Integrable Models with su(2) R-Matrix
3 Determinant Formulas for the Inner Product4 Field Theory of the Inner Product; 4.1 The A-Functional in Terms of Free Fermions; 4.2 Bosonic Theory and Coulomb Gas; 4.3 The Thermodynamical Limit; 4.4 Coarse-Graining; 4.5 The First Two Orders of the Semi-classical Expansion; 5 Discussion; References; Weak Poisson Structures on Infinite Dimensional Manifolds and Hamiltonian Actions; 1 Introduction; 2 Infinite Dimensional Poisson Manifolds; 2.1 Locally Convex Manifolds; 2.2 Weak Poisson Manifolds; 2.3 Examples of Weak Poisson Manifolds; 2.4 Poisson Maps; 3 Momentum Maps
3.1 Momentum Maps as Poisson Morphisms
Record Nr. UNINA-9910299972203321
Dobrev V. K.  
Tokyo : , : Springer Japan : , : Imprint : Springer, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Lie Theory and Its Applications in Physics [[electronic resource] ] : Varna, Bulgaria, June 2015 / / edited by Vladimir Dobrev
Lie Theory and Its Applications in Physics [[electronic resource] ] : Varna, Bulgaria, June 2015 / / edited by Vladimir Dobrev
Edizione [1st ed. 2016.]
Pubbl/distr/stampa Singapore : , : Springer Singapore : , : Imprint : Springer, , 2016
Descrizione fisica 1 online resource (XV, 614 p. 29 illus., 17 illus. in color.)
Disciplina 530
Collana Springer Proceedings in Mathematics & Statistics
Soggetto topico Mathematical physics
Functional analysis
Topological groups
Lie groups
Elementary particles (Physics)
Quantum field theory
Algebraic geometry
Number theory
Mathematical Physics
Functional Analysis
Topological Groups, Lie Groups
Elementary Particles, Quantum Field Theory
Algebraic Geometry
Number Theory
ISBN 981-10-2636-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Part 1: Plenary Talks -- Part 2: String Theories and Gravity Theories -- Part 3: Integrable Systems -- Part 4: Representation Theory -- Part 5: Supersymmetry and Quantum Groups -- Part 6: Vertex Algebras and Lie Algebra Structure Theory -- Part 7: Various Mathematical Results.
Record Nr. UNINA-9910155533503321
Singapore : , : Springer Singapore : , : Imprint : Springer, , 2016
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The limit shape problem for ensembles of Young diagrams [[electronic resource] /] / by Akihito Hora
The limit shape problem for ensembles of Young diagrams [[electronic resource] /] / by Akihito Hora
Autore Hora Akihito
Edizione [1st ed. 2016.]
Pubbl/distr/stampa Tokyo : , : Springer Japan : , : Imprint : Springer, , 2016
Descrizione fisica 1 online resource (IX, 73 p. 9 illus.)
Disciplina 515.35
Collana SpringerBriefs in Mathematical Physics
Soggetto topico Mathematical physics
Topological groups
Lie groups
Group theory
Probabilities
Statistical physics
Dynamical systems
Mathematical Physics
Topological Groups, Lie Groups
Group Theory and Generalizations
Probability Theory and Stochastic Processes
Complex Systems
Statistical Physics and Dynamical Systems
ISBN 4-431-56487-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Introduction -- 2. Prerequisite materials -- 2.1 representations of the symmetric group -- 2.2 free probability -- 2.3 ensembles of Young diagrams -- 3. Analysis of the Kerov—Olshanski algebra -- 3.1 polynomial functions of Young diagrams -- 3.2 Kerov polynomials -- 4. Static model -- 4.1 Plancherel ensemble -- 4.2 Thoma and other ensembles -- 5. Dynamic model -- 5.1 hydrodynamic limit for the Plancherel ensemble.
Record Nr. UNINA-9910150551003321
Hora Akihito  
Tokyo : , : Springer Japan : , : Imprint : Springer, , 2016
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Linear Algebraic Groups [[electronic resource] /] / by Armand Borel
Linear Algebraic Groups [[electronic resource] /] / by Armand Borel
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
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
Linear Algebraic Groups [[electronic resource] /] / by Armand Borel
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
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
Linear Algebraic Groups [[electronic resource] /] / by Armand Borel
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
Borel Armand  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1991
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Locally Convex Spaces [[electronic resource] /] / by M. Scott Osborne
Locally Convex Spaces [[electronic resource] /] / by M. Scott Osborne
Autore Osborne M. Scott
Edizione [1st ed. 2014.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
Descrizione fisica 1 online resource (VIII, 213 p. 5 illus.)
Disciplina 515.73
Collana Graduate Texts in Mathematics
Soggetto topico Functional analysis
Topological groups
Lie groups
Functional Analysis
Topological Groups, Lie Groups
ISBN 3-319-02045-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Topological Groups -- 2 Topological Vector Spaces -- 3 Locally Convex Spaces -- 4 The Classics -- 5 Dual Spaces -- 6 Duals of Fré chet Spaces -- A Topological Oddities -- B Closed Graphs in Topological Groups -- C The Other Krein–Smulian Theorem -- D Further Hints for Selected Exercises -- Bibliography -- Index.
Record Nr. UNINA-9910300150503321
Osborne M. Scott  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
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Manifolds, Sheaves, and Cohomology [[electronic resource] /] / by Torsten Wedhorn
Manifolds, Sheaves, and Cohomology [[electronic resource] /] / by Torsten Wedhorn
Autore Wedhorn Torsten
Edizione [1st ed. 2016.]
Pubbl/distr/stampa Wiesbaden : , : Springer Fachmedien Wiesbaden : , : Imprint : Springer Spektrum, , 2016
Descrizione fisica 1 online resource (XVI, 354 p. 9 illus.)
Disciplina 516.07
Collana Springer Studium Mathematik - Master
Soggetto topico Category theory (Mathematics)
Homological algebra
Topological groups
Lie groups
Differential geometry
Global analysis (Mathematics)
Manifolds (Mathematics)
Category Theory, Homological Algebra
Topological Groups, Lie Groups
Differential Geometry
Global Analysis and Analysis on Manifolds
ISBN 3-658-10633-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Topological Preliminaries -- Algebraic Topological Preliminaries -- Sheaves -- Manifolds -- Local Theory of Manifolds -- Lie Groups -- Torsors and Non-abelian Cech Cohomology -- Bundles -- Soft Sheaves -- Cohomology of Complexes of Sheaves -- Cohomology of Sheaves of Locally Constant Functions -- Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis.
Record Nr. UNINA-9910254066503321
Wedhorn Torsten  
Wiesbaden : , : Springer Fachmedien Wiesbaden : , : Imprint : Springer Spektrum, , 2016
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Mathematical Gauge Theory [[electronic resource] ] : With Applications to the Standard Model of Particle Physics / / by Mark J.D. Hamilton
Mathematical Gauge Theory [[electronic resource] ] : With Applications to the Standard Model of Particle Physics / / by Mark J.D. Hamilton
Autore Hamilton Mark J.D
Edizione [1st ed. 2017.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Descrizione fisica 1 online resource (XVIII, 658 p. 40 illus.)
Disciplina 539.72
Collana Universitext
Soggetto topico Manifolds (Mathematics)
Complex manifolds
Elementary particles (Physics)
Quantum field theory
Physics
Topological groups
Lie groups
Manifolds and Cell Complexes (incl. Diff.Topology)
Elementary Particles, Quantum Field Theory
Mathematical Methods in Physics
Topological Groups, Lie Groups
ISBN 9783319684383
9783319684390 (ebook)
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Part I Mathematical foundations -- 1 Lie groups and Lie algebras: Basic concepts -- 2 Lie groups and Lie algebras: Representations and structure theory -- 3 Group actions -- 4 Fibre bundles -- 5 Connections and curvature -- 6 Spinors -- Part II The Standard Model of elementary particle physics -- 7 The classical Lagrangians of gauge theories -- 8 The Higgs mechanism and the Standard Model -- 9 Modern developments and topics beyond the Standard Model -- Part III Appendix -- A Background on differentiable manifolds -- B Background on special relativity and quantum field theory -- References -- Index.
Record Nr. UNINA-9910254294903321
Hamilton Mark J.D  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
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Measures with Symmetry Properties [[electronic resource] /] / by Werner Schindler
Measures with Symmetry Properties [[electronic resource] /] / by Werner Schindler
Autore Schindler Werner
Edizione [1st ed. 2003.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003
Descrizione fisica 1 online resource (X, 174 p.)
Disciplina 515.42
Collana Lecture Notes in Mathematics
Soggetto topico Measure theory
Topological groups
Lie groups
Numerical analysis
Statistics 
Measure and Integration
Topological Groups, Lie Groups
Numerical Analysis
Statistical Theory and Methods
ISBN 3-540-36210-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction, Main Theorems: Definitions and Preparatory Lemmata; Definition of Property (*) and Its Implications (Main Theorems); Supplementary Expositions and an Alternate Existence Proof -- Significance, Applicability and Advantages -- Applications: Central Definitions, Theorems and Facts; Equidistribution on the Grassmannian Manifold and Chirotopes; Conjugation-invariant Probability Measures on Compact Connected Lie Groups; Conjugation-invariant Probability Measures on SO(n); Conjugation-invariant Probability Measures on SO(3); The Theorem of Iwasawa and Invariant Measures on Lie Groups; QR-Decomposition on GL(n); Polar Decomposition on GL(n); O(n)-invariant Borel Measures on Pos(n); Biinvariant Borel Measures on GL(n); Symmetries on Finite Spaces -- References -- Glossary -- Index.
Record Nr. UNINA-9910144634403321
Schindler Werner  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
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