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] | ||
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Lo trovi qui: Univ. Federico II | ||
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Linear representations of finite groups / Jean-Pierre Serre ; translated from the french by Leonard L. Scott |
Autore | Serre, Jean Pierre |
Pubbl/distr/stampa | New York, : Springer, 1977, stampa 1993 |
Descrizione fisica | X, 170 p. ; 24 cm |
Soggetto topico |
16E20 - Grothendieck groups, $K$-theory, etc. [MSC 2020]
20Cxx - Representation theory of groups [MSC 2020] 20Dxx Abstract finite groups [MSC 2020] 11S20 - Galois theory [MSC 2020] 16D40 - Free, projective, and flat modules and ideals in associative algebras [MSC 2020] |
Soggetto non controllato |
Algebra
Character theory Finite Finite Groups Mathematics Proofs Representation |
ISBN |
03-87901-90-6
978-03-87901-90-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0028842 |
Serre, Jean Pierre
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New York, : Springer, 1977, stampa 1993 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Linear representations of finite groups / Jean-Pierre Serre ; translated from the french by Leonard L. Scott |
Autore | Serre, Jean Pierre |
Pubbl/distr/stampa | New York, : Springer, 1977 |
Descrizione fisica | X, 170 p. ; 24 cm |
Soggetto topico |
16-XX - Associative rings and algebras [MSC 2020]
20Cxx - Representation theory of groups [MSC 2020] 12-XX - Field theory and polynomials [MSC 2020] 20Dxx Abstract finite groups [MSC 2020] |
Soggetto non controllato |
Algebra
Character theory Finite Finite Groups Mathematics Proofs Representation |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0268102 |
Serre, Jean Pierre
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New York, : Springer, 1977 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Representation Theory of Finite Group Extensions : Clifford Theory, Mackey Obstruction, and the Orbit Method / Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli |
Autore | Ceccherini-Silberstein, Tullio |
Pubbl/distr/stampa | Cham, : Springer, 2022 |
Descrizione fisica | xiii, 340 p. : ill. ; 24 cm |
Altri autori (Persone) |
Scarabotti, Fabio
Tolli, Filippo |
Soggetto non controllato |
Central Group Extension
Character theory Clifford Theory Cohomology of Groups Finite Groups Group extension Hecke algebra Heisenberg Groups Induced Representation Lie Ring Little Group Method Mackey Obstruction Mackey Theory Metabelian Group Nilpotent groups Orbit method Projective Representation Schur multiplier Unitary 2-cocycle Unitary Representation |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0278103 |
Ceccherini-Silberstein, Tullio
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Cham, : Springer, 2022 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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The Pontryagin Duality of Compact O-Dimensional Semilattices and Its Applications / Karl Heinrich Hofmann, Michael Mislove, Albert Stralka |
Autore | Hofmann, Karl H. |
Pubbl/distr/stampa | Berlin, : Springer, 1974 |
Descrizione fisica | xvi, 122 p. ; 24 cm |
Altri autori (Persone) |
Mislove, Albert
Stralka, Albert |
Soggetto topico |
20-XX - Group theory and generalizations [MSC 2020]
06-XX - Order, lattices, ordered algebraic structures [MSC 2020] 22-XX - Topological groups, Lie groups [MSC 2020] 20M10 - General structure theory for semigroups [MSC 2020] 22A15 - Structure of topological semigroups [MSC 2020] 18A40 - Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) [MSC 2020] 06B05 - Structure theory of lattices [MSC 2020] |
Soggetto non controllato |
Character theory
Lattices Pontryaginian duality Semilattices |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0256265 |
Hofmann, Karl H.
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Berlin, : Springer, 1974 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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