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Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / / George Lusztig
| Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / / George Lusztig |
| Autore | Lusztig George |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (408 pages) : illustrations |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Finite groups
Finite fields (Algebra) Characters of groups |
| Soggetto non controllato |
Addition
Algebra representation Algebraic closure Algebraic group Algebraic variety Algebraically closed field Bijection Borel subgroup Cartan subalgebra Character table Character theory Characteristic function (probability theory) Characteristic polynomial Class function (algebra) Classical group Coefficient Cohomology with compact support Cohomology Combination Complex number Computation Conjugacy class Connected component (graph theory) Coxeter group Cyclic group Cyclotomic polynomial David Kazhdan Dense set Derived category Diagram (category theory) Dimension Direct sum Disjoint sets Disjoint union E6 (mathematics) Eigenvalues and eigenvectors Endomorphism Equivalence class Equivalence relation Existential quantification Explicit formula Explicit formulae (L-function) Fiber bundle Finite field Finite group Fourier transform Green's function Group (mathematics) Group action Group representation Harish-Chandra Hecke algebra Identity element Integer Irreducible representation Isomorphism class Jordan decomposition Line bundle Linear combination Local system Mathematical induction Maximal torus Module (mathematics) Monodromy Morphism Orthonormal basis P-adic number Parametrization Parity (mathematics) Partially ordered set Perverse sheaf Pointwise Polynomial Quantity Rational point Reductive group Ree group Schubert variety Scientific notation Semisimple Lie algebra Sheaf (mathematics) Simple group Simple module Special case Standard basis Subset Subtraction Summation Surjective function Symmetric group Tensor product Theorem Two-dimensional space Unipotent representation Vector bundle Vector space Verma module Weil conjecture Weyl group Zariski topology |
| ISBN | 1-4008-8177-3 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- 1. COMPUTATION OF LOCAL INTERSECTION COHOMOLOGY OF CERTAIN LINE BUNDLES OVER A SCHUBERT VARIETY -- 2. LOCAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE CLOSURES OF THE VARIETIES XW -- 3. GLOBAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE VARIETY X̅W -- 4. REPRESENTATIONS OF WEYL GROUPS -- 5. CELLS IN WEYL GROUPS -- 6. AN INTEGRALITY THEOREM AND A DISJOINTNESS THEOREM -- 7. SOME EXCEPTIONAL GROUPS -- 8. DECOMPOSITION OF INDUCED REPRESENTATIONS -- 9. CLASSICAL GROUPS -- 10. COMPLETION OF THE PROOF OF THEOREM 4.23 -- 11. EIGENVALUES OF FROBENIUS -- 12. ON THE STRUCTURE OF LEFT CELLS -- 13. RELATIONS WITH CONJUGACY CLASSES -- 14. CONCLUDING REMARKS -- APPENDIX -- REFERENCES -- SUBJECT INDEX -- NOTATION INDEX -- Backmatter |
| Record Nr. | UNINA-9910154752803321 |
Lusztig George
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The geometry and topology of coxeter groups [[electronic resource] /] / Michael W. Davis
| The geometry and topology of coxeter groups [[electronic resource] /] / Michael W. Davis |
| Autore | Davis Michael <1949 Apr. 26-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2008 |
| Descrizione fisica | 1 online resource (601 p.) |
| Disciplina | 512/.2 |
| Collana | London Mathematical Society monographs series |
| Soggetto topico |
Coxeter groups
Geometric group theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-85128-8
1-4008-4594-7 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. INTRODUCTION AND PREVIEW -- Chapter Two. SOME BASIC NOTIONS IN GEOMETRIC GROUP THEORY -- Chapter Three. COXETER GROUPS -- Chapter Four. MORE COMBINATORIAL THEORY OF COXETER GROUPS -- Chapter Five. THE BASIC CONSTRUCTION -- Chapter Six. GEOMETRIC REFLECTION GROUPS -- Chapter Seven. THE COMPLEX Σ -- Chapter Eight. THE ALGEBRAIC TOPOLOGY OF U AND OF Σ -- Chapter Nine. THE FUNDAMENTAL GROUP AND THE FUNDAMENTAL GROUP AT INFINITY -- Chapter Ten. ACTIONS ON MANIFOLDS -- Chapter Eleven. THE REFLECTION GROUP TRICK -- Chapter Twelve. Σ IS CAT(O): THEOREMS OF GROMOV AND MOUSSONG -- Chapter Thirteen. RIGIDITY -- Chapter Fourteen. FREE QUOTIENTS AND SURFACE SUBGROUPS -- Chapter Fifteen. ANOTHER LOOK AT (CO)HOMOLOGY -- Chapter Sixteen. THE EULER CHARACTERISTIC -- Chapter Seventeen. GROWTH SERIES -- Chapter Eighteen. BUILDINGS -- Chapter Nineteen. HECKE-VON NEUMANN ALGEBRAS -- Chapter Twenty. WEIGHTED L2-(CO)HOMOLOGY -- Appendix A: CELL COMPLEXES -- Appendix B: REGULAR POLYTOPES -- Appendix C: THE CLASSIFICATION OF SPHERICAL AND EUCLIDEAN COXETER GROUPS -- Appendix D: THE GEOMETRIC REPRESENTATION -- Appendix E: COMPLEXES OF GROUPS -- Appendix F: HOMOLOGY AND COHOMOLOGY OF GROUPS -- Appendix G: ALGEBRAIC TOPOLOGY AT INFINITY -- Appendix H: THE NOVIKOV AND BOREL CONJECTURES -- Appendix I: NONPOSITIVE CURVATURE -- Appendix J: L2-(CO)HOMOLOGY -- Bibliography -- Index |
| Record Nr. | UNINA-9910452830603321 |
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Davis Michael <1949 Apr. 26->
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| Princeton, : Princeton University Press, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The geometry and topology of coxeter groups [[electronic resource] /] / Michael W. Davis
| The geometry and topology of coxeter groups [[electronic resource] /] / Michael W. Davis |
| Autore | Davis Michael <1949 Apr. 26-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2008 |
| Descrizione fisica | 1 online resource (601 p.) |
| Disciplina | 512/.2 |
| Collana | London Mathematical Society monographs series |
| Soggetto topico |
Coxeter groups
Geometric group theory |
| ISBN |
1-283-85128-8
1-4008-4594-7 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. INTRODUCTION AND PREVIEW -- Chapter Two. SOME BASIC NOTIONS IN GEOMETRIC GROUP THEORY -- Chapter Three. COXETER GROUPS -- Chapter Four. MORE COMBINATORIAL THEORY OF COXETER GROUPS -- Chapter Five. THE BASIC CONSTRUCTION -- Chapter Six. GEOMETRIC REFLECTION GROUPS -- Chapter Seven. THE COMPLEX Σ -- Chapter Eight. THE ALGEBRAIC TOPOLOGY OF U AND OF Σ -- Chapter Nine. THE FUNDAMENTAL GROUP AND THE FUNDAMENTAL GROUP AT INFINITY -- Chapter Ten. ACTIONS ON MANIFOLDS -- Chapter Eleven. THE REFLECTION GROUP TRICK -- Chapter Twelve. Σ IS CAT(O): THEOREMS OF GROMOV AND MOUSSONG -- Chapter Thirteen. RIGIDITY -- Chapter Fourteen. FREE QUOTIENTS AND SURFACE SUBGROUPS -- Chapter Fifteen. ANOTHER LOOK AT (CO)HOMOLOGY -- Chapter Sixteen. THE EULER CHARACTERISTIC -- Chapter Seventeen. GROWTH SERIES -- Chapter Eighteen. BUILDINGS -- Chapter Nineteen. HECKE-VON NEUMANN ALGEBRAS -- Chapter Twenty. WEIGHTED L2-(CO)HOMOLOGY -- Appendix A: CELL COMPLEXES -- Appendix B: REGULAR POLYTOPES -- Appendix C: THE CLASSIFICATION OF SPHERICAL AND EUCLIDEAN COXETER GROUPS -- Appendix D: THE GEOMETRIC REPRESENTATION -- Appendix E: COMPLEXES OF GROUPS -- Appendix F: HOMOLOGY AND COHOMOLOGY OF GROUPS -- Appendix G: ALGEBRAIC TOPOLOGY AT INFINITY -- Appendix H: THE NOVIKOV AND BOREL CONJECTURES -- Appendix I: NONPOSITIVE CURVATURE -- Appendix J: L2-(CO)HOMOLOGY -- Bibliography -- Index |
| Record Nr. | UNINA-9910779339103321 |
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Davis Michael <1949 Apr. 26->
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| Princeton, : Princeton University Press, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The geometry and topology of coxeter groups [[electronic resource] /] / Michael W. Davis
| The geometry and topology of coxeter groups [[electronic resource] /] / Michael W. Davis |
| Autore | Davis Michael <1949 Apr. 26-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2008 |
| Descrizione fisica | 1 online resource (601 p.) |
| Disciplina | 512/.2 |
| Collana | London Mathematical Society monographs series |
| Soggetto topico |
Coxeter groups
Geometric group theory |
| ISBN |
1-283-85128-8
1-4008-4594-7 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. INTRODUCTION AND PREVIEW -- Chapter Two. SOME BASIC NOTIONS IN GEOMETRIC GROUP THEORY -- Chapter Three. COXETER GROUPS -- Chapter Four. MORE COMBINATORIAL THEORY OF COXETER GROUPS -- Chapter Five. THE BASIC CONSTRUCTION -- Chapter Six. GEOMETRIC REFLECTION GROUPS -- Chapter Seven. THE COMPLEX Σ -- Chapter Eight. THE ALGEBRAIC TOPOLOGY OF U AND OF Σ -- Chapter Nine. THE FUNDAMENTAL GROUP AND THE FUNDAMENTAL GROUP AT INFINITY -- Chapter Ten. ACTIONS ON MANIFOLDS -- Chapter Eleven. THE REFLECTION GROUP TRICK -- Chapter Twelve. Σ IS CAT(O): THEOREMS OF GROMOV AND MOUSSONG -- Chapter Thirteen. RIGIDITY -- Chapter Fourteen. FREE QUOTIENTS AND SURFACE SUBGROUPS -- Chapter Fifteen. ANOTHER LOOK AT (CO)HOMOLOGY -- Chapter Sixteen. THE EULER CHARACTERISTIC -- Chapter Seventeen. GROWTH SERIES -- Chapter Eighteen. BUILDINGS -- Chapter Nineteen. HECKE-VON NEUMANN ALGEBRAS -- Chapter Twenty. WEIGHTED L2-(CO)HOMOLOGY -- Appendix A: CELL COMPLEXES -- Appendix B: REGULAR POLYTOPES -- Appendix C: THE CLASSIFICATION OF SPHERICAL AND EUCLIDEAN COXETER GROUPS -- Appendix D: THE GEOMETRIC REPRESENTATION -- Appendix E: COMPLEXES OF GROUPS -- Appendix F: HOMOLOGY AND COHOMOLOGY OF GROUPS -- Appendix G: ALGEBRAIC TOPOLOGY AT INFINITY -- Appendix H: THE NOVIKOV AND BOREL CONJECTURES -- Appendix I: NONPOSITIVE CURVATURE -- Appendix J: L2-(CO)HOMOLOGY -- Bibliography -- Index |
| Record Nr. | UNINA-9910810666703321 |
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Davis Michael <1949 Apr. 26->
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| Princeton, : Princeton University Press, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Group ring groups . Volume 2 Structure theorems of unit groups / / Eric Jespers, Ángel del Río Mateos
| Group ring groups . Volume 2 Structure theorems of unit groups / / Eric Jespers, Ángel del Río Mateos |
| Autore | Jespers Eric |
| Pubbl/distr/stampa | Berlin, Germany ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016 |
| Descrizione fisica | 1 online resource (228 pages) : illustrations |
| Disciplina | 512.4 |
| Collana | De Gruyter Graduate |
| Soggetto topico |
Group rings
Rings (Algebra) |
| ISBN |
3-11-041150-4
3-11-041275-6 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- 14. Free Groups -- 15. Hyperbolic geometry -- 16. Poincaré's Theorem -- 17. Fundamental polyhedra -- 18. Unit groups of orders in quaternion algebras -- 19. Virtually free-by-free groups -- References -- Index of Notation -- Index |
| Record Nr. | UNINA-9910797814603321 |
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Jespers Eric
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| Berlin, Germany ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Group ring groups . Volume 2 Structure theorems of unit groups / / Eric Jespers, Ángel del Río Mateos
| Group ring groups . Volume 2 Structure theorems of unit groups / / Eric Jespers, Ángel del Río Mateos |
| Autore | Jespers Eric |
| Pubbl/distr/stampa | Berlin, Germany ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016 |
| Descrizione fisica | 1 online resource (228 pages) : illustrations |
| Disciplina | 512.4 |
| Collana | De Gruyter Graduate |
| Soggetto topico |
Group rings
Rings (Algebra) |
| ISBN |
3-11-041150-4
3-11-041275-6 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- 14. Free Groups -- 15. Hyperbolic geometry -- 16. Poincaré's Theorem -- 17. Fundamental polyhedra -- 18. Unit groups of orders in quaternion algebras -- 19. Virtually free-by-free groups -- References -- Index of Notation -- Index |
| Record Nr. | UNINA-9910819093503321 |
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Jespers Eric
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| Berlin, Germany ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Group theory [[electronic resource] ] : birdtracks, Lie's, and exceptional groups / / Predrag Cvitanović
| Group theory [[electronic resource] ] : birdtracks, Lie's, and exceptional groups / / Predrag Cvitanović |
| Autore | Cvitanović Predrag |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2008 |
| Descrizione fisica | 1 online resource (278 p.) |
| Disciplina | 512/.2 |
| Soggetto topico | Group theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-96480-1
9786612964800 1-4008-3767-7 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Acknowledgments -- Chapter One. Introduction -- Chapter Two. A preview -- Chapter Three. Invariants and reducibility -- Chapter Four. Diagrammatic notation -- Chapter Five. Recouplings -- Chapter Six. Permutations -- Chapter Seven. Casimir operators -- Chapter Eight. Group integrals -- Chapter Nine. Unitary groups -- Chapter Ten. Orthogonal groups -- Chapter Eleven. Spinors -- Chapter Twelve. Symplectic groups -- Chapter Thirteen. Negative dimensions -- Chapter Fourteen. Spinors' symplectic sisters -- Chapter Fifteen. SU(n) family of invariance groups -- Chapter Sixteen. G2 family of invariance groups -- Chapter Seventeen. E8 family of invariance groups -- Chapter Eighteen. E6 family of invariance groups -- Chapter Nineteen. F4 family of invariance groups -- Chapter Twenty. E7 family and its negative-dimensional cousins -- Chapter Twenty-One. Exceptional magic -- Appendix A. Recursive decomposition -- Appendix B. Properties of Young projections -- Bibliography -- Index |
| Record Nr. | UNINA-9910457995303321 |
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Cvitanović Predrag
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| Princeton, N.J., : Princeton University Press, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Group theory [[electronic resource] ] : birdtracks, Lie's, and exceptional groups / / Predrag Cvitanović
| Group theory [[electronic resource] ] : birdtracks, Lie's, and exceptional groups / / Predrag Cvitanović |
| Autore | Cvitanović Predrag |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2008 |
| Descrizione fisica | 1 online resource (278 p.) |
| Disciplina | 512/.2 |
| Soggetto topico | Group theory |
| ISBN |
1-282-96480-1
9786612964800 1-4008-3767-7 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Acknowledgments -- Chapter One. Introduction -- Chapter Two. A preview -- Chapter Three. Invariants and reducibility -- Chapter Four. Diagrammatic notation -- Chapter Five. Recouplings -- Chapter Six. Permutations -- Chapter Seven. Casimir operators -- Chapter Eight. Group integrals -- Chapter Nine. Unitary groups -- Chapter Ten. Orthogonal groups -- Chapter Eleven. Spinors -- Chapter Twelve. Symplectic groups -- Chapter Thirteen. Negative dimensions -- Chapter Fourteen. Spinors' symplectic sisters -- Chapter Fifteen. SU(n) family of invariance groups -- Chapter Sixteen. G2 family of invariance groups -- Chapter Seventeen. E8 family of invariance groups -- Chapter Eighteen. E6 family of invariance groups -- Chapter Nineteen. F4 family of invariance groups -- Chapter Twenty. E7 family and its negative-dimensional cousins -- Chapter Twenty-One. Exceptional magic -- Appendix A. Recursive decomposition -- Appendix B. Properties of Young projections -- Bibliography -- Index |
| Record Nr. | UNINA-9910791451803321 |
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Cvitanović Predrag
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||
| Princeton, N.J., : Princeton University Press, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Group theory [[electronic resource] ] : birdtracks, Lie's, and exceptional groups / / Predrag Cvitanović
| Group theory [[electronic resource] ] : birdtracks, Lie's, and exceptional groups / / Predrag Cvitanović |
| Autore | Cvitanović Predrag |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2008 |
| Descrizione fisica | 1 online resource (278 p.) |
| Disciplina | 512/.2 |
| Soggetto topico | Group theory |
| ISBN |
1-282-96480-1
9786612964800 1-4008-3767-7 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Acknowledgments -- Chapter One. Introduction -- Chapter Two. A preview -- Chapter Three. Invariants and reducibility -- Chapter Four. Diagrammatic notation -- Chapter Five. Recouplings -- Chapter Six. Permutations -- Chapter Seven. Casimir operators -- Chapter Eight. Group integrals -- Chapter Nine. Unitary groups -- Chapter Ten. Orthogonal groups -- Chapter Eleven. Spinors -- Chapter Twelve. Symplectic groups -- Chapter Thirteen. Negative dimensions -- Chapter Fourteen. Spinors' symplectic sisters -- Chapter Fifteen. SU(n) family of invariance groups -- Chapter Sixteen. G2 family of invariance groups -- Chapter Seventeen. E8 family of invariance groups -- Chapter Eighteen. E6 family of invariance groups -- Chapter Nineteen. F4 family of invariance groups -- Chapter Twenty. E7 family and its negative-dimensional cousins -- Chapter Twenty-One. Exceptional magic -- Appendix A. Recursive decomposition -- Appendix B. Properties of Young projections -- Bibliography -- Index |
| Record Nr. | UNINA-9910810117003321 |
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Cvitanović Predrag
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| Princeton, N.J., : Princeton University Press, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Nilpotent groups and their automorphisms [[electronic resource] /] / by Evgenii I. Khukhro
| Nilpotent groups and their automorphisms [[electronic resource] /] / by Evgenii I. Khukhro |
| Autore | Khukhro Evgenii I. <1956-> |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 1993 |
| Descrizione fisica | 1 online resource (268 p.) |
| Disciplina | 512/.2 |
| Collana |
De Gruyter Expositions in Mathematics
De Gruyter expositions in mathematics |
| Soggetto topico |
Nilpotent groups
Automorphisms |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-084621-7 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Linear methods -- pt. 2. Automorphisms. |
| Record Nr. | UNINA-9910461876803321 |
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Khukhro Evgenii I. <1956->
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| Berlin ; ; New York, : Walter de Gruyter, 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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