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 | ||
|
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 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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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 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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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 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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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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