Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 /
This book presents a classification of all (complex)irreducible representations of a reductive group withconnected centre, over a finite field. To achieve this,the author uses etale intersection cohomology, anddetailed information on representations of Weylgroups.
Clasificación: | Libro Electrónico |
---|---|
Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Princeton, NJ :
Princeton University Press,
[2016]
|
Colección: | Annals of Mathematics Studies ;
107 |
Temas: | |
Acceso en línea: | Texto completo Texto completo |
MARC
LEADER | 00000nam a22000005i 4500 | ||
---|---|---|---|
001 | DEGRUYTERUP_9781400881772 | ||
003 | DE-B1597 | ||
005 | 20220131112047.0 | ||
006 | m|||||o||d|||||||| | ||
007 | cr || |||||||| | ||
008 | 220131t20161984nju fo d z eng d | ||
020 | |a 9781400881772 | ||
024 | 7 | |a 10.1515/9781400881772 |2 doi | |
035 | |a (DE-B1597)467930 | ||
035 | |a (OCoLC)979746993 | ||
040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
041 | 0 | |a eng | |
044 | |a nju |c US-NJ | ||
050 | 4 | |a QA171 | |
072 | 7 | |a MAT014000 |2 bisacsh | |
082 | 0 | 4 | |a 512/.2 |
100 | 1 | |a Lusztig, George, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Characters of Reductive Groups over a Finite Field. (AM-107), Volume 107 / |c George Lusztig. |
264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2016] | |
264 | 4 | |c ©1984 | |
300 | |a 1 online resource (408 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
490 | 0 | |a Annals of Mathematics Studies ; |v 107 | |
505 | 0 | 0 | |t Frontmatter -- |t TABLE OF CONTENTS -- |t INTRODUCTION -- |t 1. COMPUTATION OF LOCAL INTERSECTION COHOMOLOGY OF CERTAIN LINE BUNDLES OVER A SCHUBERT VARIETY -- |t 2. LOCAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE CLOSURES OF THE VARIETIES XW -- |t 3. GLOBAL INTERSECTION COHOMOLOGY WITH TWISTED COEFFICIENTS OF THE VARIETY X̅W -- |t 4. REPRESENTATIONS OF WEYL GROUPS -- |t 5. CELLS IN WEYL GROUPS -- |t 6. AN INTEGRALITY THEOREM AND A DISJOINTNESS THEOREM -- |t 7. SOME EXCEPTIONAL GROUPS -- |t 8. DECOMPOSITION OF INDUCED REPRESENTATIONS -- |t 9. CLASSICAL GROUPS -- |t 10. COMPLETION OF THE PROOF OF THEOREM 4.23 -- |t 11. EIGENVALUES OF FROBENIUS -- |t 12. ON THE STRUCTURE OF LEFT CELLS -- |t 13. RELATIONS WITH CONJUGACY CLASSES -- |t 14. CONCLUDING REMARKS -- |t APPENDIX -- |t REFERENCES -- |t SUBJECT INDEX -- |t NOTATION INDEX -- |t Backmatter |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a This book presents a classification of all (complex)irreducible representations of a reductive group withconnected centre, over a finite field. To achieve this,the author uses etale intersection cohomology, anddetailed information on representations of Weylgroups. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
650 | 0 | |a Characters of groups. | |
650 | 0 | |a Finite fields (Algebra). | |
650 | 0 | |a Finite groups. | |
650 | 7 | |a MATHEMATICS / Group Theory. |2 bisacsh | |
653 | |a Addition. | ||
653 | |a Algebra representation. | ||
653 | |a Algebraic closure. | ||
653 | |a Algebraic group. | ||
653 | |a Algebraic variety. | ||
653 | |a Algebraically closed field. | ||
653 | |a Bijection. | ||
653 | |a Borel subgroup. | ||
653 | |a Cartan subalgebra. | ||
653 | |a Character table. | ||
653 | |a Character theory. | ||
653 | |a Characteristic function (probability theory). | ||
653 | |a Characteristic polynomial. | ||
653 | |a Class function (algebra). | ||
653 | |a Classical group. | ||
653 | |a Coefficient. | ||
653 | |a Cohomology with compact support. | ||
653 | |a Cohomology. | ||
653 | |a Combination. | ||
653 | |a Complex number. | ||
653 | |a Computation. | ||
653 | |a Conjugacy class. | ||
653 | |a Connected component (graph theory). | ||
653 | |a Coxeter group. | ||
653 | |a Cyclic group. | ||
653 | |a Cyclotomic polynomial. | ||
653 | |a David Kazhdan. | ||
653 | |a Dense set. | ||
653 | |a Derived category. | ||
653 | |a Diagram (category theory). | ||
653 | |a Dimension. | ||
653 | |a Direct sum. | ||
653 | |a Disjoint sets. | ||
653 | |a Disjoint union. | ||
653 | |a E6 (mathematics). | ||
653 | |a Eigenvalues and eigenvectors. | ||
653 | |a Endomorphism. | ||
653 | |a Equivalence class. | ||
653 | |a Equivalence relation. | ||
653 | |a Existential quantification. | ||
653 | |a Explicit formula. | ||
653 | |a Explicit formulae (L-function). | ||
653 | |a Fiber bundle. | ||
653 | |a Finite field. | ||
653 | |a Finite group. | ||
653 | |a Fourier transform. | ||
653 | |a Green's function. | ||
653 | |a Group (mathematics). | ||
653 | |a Group action. | ||
653 | |a Group representation. | ||
653 | |a Harish-Chandra. | ||
653 | |a Hecke algebra. | ||
653 | |a Identity element. | ||
653 | |a Integer. | ||
653 | |a Irreducible representation. | ||
653 | |a Isomorphism class. | ||
653 | |a Jordan decomposition. | ||
653 | |a Line bundle. | ||
653 | |a Linear combination. | ||
653 | |a Local system. | ||
653 | |a Mathematical induction. | ||
653 | |a Maximal torus. | ||
653 | |a Module (mathematics). | ||
653 | |a Monodromy. | ||
653 | |a Morphism. | ||
653 | |a Orthonormal basis. | ||
653 | |a P-adic number. | ||
653 | |a Parametrization. | ||
653 | |a Parity (mathematics). | ||
653 | |a Partially ordered set. | ||
653 | |a Perverse sheaf. | ||
653 | |a Pointwise. | ||
653 | |a Polynomial. | ||
653 | |a Quantity. | ||
653 | |a Rational point. | ||
653 | |a Reductive group. | ||
653 | |a Ree group. | ||
653 | |a Schubert variety. | ||
653 | |a Scientific notation. | ||
653 | |a Semisimple Lie algebra. | ||
653 | |a Sheaf (mathematics). | ||
653 | |a Simple group. | ||
653 | |a Simple module. | ||
653 | |a Special case. | ||
653 | |a Standard basis. | ||
653 | |a Subset. | ||
653 | |a Subtraction. | ||
653 | |a Summation. | ||
653 | |a Surjective function. | ||
653 | |a Symmetric group. | ||
653 | |a Tensor product. | ||
653 | |a Theorem. | ||
653 | |a Two-dimensional space. | ||
653 | |a Unipotent representation. | ||
653 | |a Vector bundle. | ||
653 | |a Vector space. | ||
653 | |a Verma module. | ||
653 | |a Weil conjecture. | ||
653 | |a Weyl group. | ||
653 | |a Zariski topology. | ||
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Annals of Mathematics eBook-Package 1940-2020 |z 9783110494914 |o ZDB-23-PMB |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1515/9781400881772 |z Texto completo |
856 | 4 | 0 | |u https://degruyter.uam.elogim.com/isbn/9781400881772 |z Texto completo |
912 | |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999 |c 1927 |d 1999 | ||
912 | |a EBA_BACKALL | ||
912 | |a EBA_CL_MTPY | ||
912 | |a EBA_EBACKALL | ||
912 | |a EBA_EBKALL | ||
912 | |a EBA_ECL_MTPY | ||
912 | |a EBA_EEBKALL | ||
912 | |a EBA_ESTMALL | ||
912 | |a EBA_PPALL | ||
912 | |a EBA_STMALL | ||
912 | |a GBV-deGruyter-alles | ||
912 | |a PDA12STME | ||
912 | |a PDA13ENGE | ||
912 | |a PDA18STMEE | ||
912 | |a PDA5EBK | ||
912 | |a ZDB-23-PMB |c 1940 |d 2020 |