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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  
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
Davis Michael <1949 Apr. 26->  
Princeton, : Princeton University Press, c2008
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
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
Davis Michael <1949 Apr. 26->  
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
Jespers Eric  
Berlin, Germany ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016
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-9910819093503321
Jespers Eric  
Berlin, Germany ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Cvitanović Predrag  
Princeton, N.J., : Princeton University Press, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
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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
Cvitanović Predrag  
Princeton, N.J., : Princeton University Press, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
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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
Khukhro Evgenii I. <1956->  
Berlin ; ; New York, : Walter de Gruyter, 1993
Materiale a stampa
Lo trovi qui: Univ. Federico II
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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
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-9910785851503321
Khukhro Evgenii I. <1956->  
Berlin ; ; New York, : Walter de Gruyter, 1993
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
A primer on mapping class groups [[electronic resource] /] / Benson Farb and Dan Margalit
A primer on mapping class groups [[electronic resource] /] / Benson Farb and Dan Margalit
Autore Farb Benson
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, 2012
Descrizione fisica 1 online resource (489 p.)
Disciplina 512.7/4
Altri autori (Persone) MargalitDan <1976->
Collana Princeton mathematical series
Soggetto topico Mappings (Mathematics)
Class groups (Mathematics)
Soggetto genere / forma Electronic books.
Soggetto non controllato 3-manifold theory
Alexander method
Birman exact sequence
BirmanЈilden theorem
Dehn twists
DehnЌickorish theorem
DehnЎielsenЂaer theorem
Dennis Johnson
Euler class
FenchelЎielsen coordinates
Gervais presentation
Grtzsch's problem
Johnson homomorphism
Markov partitions
Meyer signature cocycle
Mod(S)
Nielsen realization theorem
NielsenДhurston classification theorem
NielsenДhurston classification
Riemann surface
Teichmller mapping
Teichmller metric
Teichmller space
Thurston compactification
Torelli group
Wajnryb presentation
algebraic integers
algebraic intersection number
algebraic relations
algebraic structure
annulus
aspherical manifold
bigon criterion
braid group
branched cover
capping homomorphism
classifying space
closed surface
collar lemma
compactness criterion
complex of curves
configuration space
conjugacy class
coordinates principle
cutting homomorphism
cyclic subgroup
diffeomorphism
disk
existence theorem
extended mapping class group
finite index
finite subgroup
finite-order homeomorphism
finite-order mapping class
first homology group
geodesic laminations
geometric classification
geometric group theory
geometric intersection number
geometric operation
geometry
harmonic maps
holomorphic quadratic differential
homeomorphism
homological criterion
homotopy
hyperbolic geometry
hyperbolic plane
hyperbolic structure
hyperbolic surface
inclusion homomorphism
infinity
intersection number
isotopy
lantern relation
low-dimensional homology
mapping class group
mapping torus
measured foliation space
measured foliations
metric geometry
moduli space
orbifold
orbit
outer automorphism group
pseudo-Anosov homeomorphism
punctured disk
quasi-isometry
quasiconformal map
second homology group
simple closed curve
simplicial complex
stretch factors
surface bundles
surface homeomorphism
surface
symplectic representation
topology
torsion
torus
train track
ISBN 1-283-22743-6
9786613227430
1-4008-3904-1
Classificazione SK 260
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto pt. 1. Mapping class groups -- pt. 2. Teichmüller space and moduli space -- pt. 3. The classification and pseudo-Anosov theory.
Record Nr. UNINA-9910461382703321
Farb Benson  
Princeton, N.J., : Princeton University Press, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
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