Kooperativer Bibliotheksverbund

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Format: XXI, 384 S.

ISBN: 0-691-08350-9 , 0-691-08351-7

Series Statement: Annals of mathematics studies 107

Language: English

Subjects: Mathematics

Keywords: Reduktive Gruppe ; Charakter ; Galois-Feld ; Reduktive Gruppe ; Galois-Feld

URL: Inhaltsverzeichnis

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Format: XIV, 340 Seiten : , Illustrationen.

Edition: Reprint of the 1994 edition

ISBN: 978-0-8176-4716-2 , 978-0-8176-4717-9

Series Statement: Modern Birkhäuser Classics

Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-0-8176-4717-9

Language: English

Subjects: Mathematics

Keywords: Quantengruppe

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Format: 1 online resource (vi, 136 p. : ill.)

Edition: Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

ISBN: 9781470438630 (online)

Series Statement: CRM Monograph Series, v. 18

Note: Introduction , Coxeter groups , Partial order on $W$ , The algebra ${\mathcal H}$ , The bar operator , The elements $c_w$ , Left or right multiplication by $c_s$ , Dihedral groups , Cells , Cosets of parabolic subgroups , Inversion , The longest element for a finite $W$ , Examples of elements $D_w$ , The function $\mathbf {a}$ , Conjectures , Example: The split case , Example: The quasisplit case , Example: The infinite dihedral case , The ring $J$ , Algebras with trace form , The function ${\mathbf {a}}_E$ , Study of a left cell , Constructible representations , Two-sided cells , Virtual cells , Relative Coxeter groups , Representations , A new realization of Hecke algebras , Mode of access : World Wide Web

Additional Edition: Print version: Lusztig, George, 1946- Hecke algebras with unequal parameters / ISSN 1065-8599 ISBN 9780821833568

Language: English

Subjects: Mathematics

URL: Contents

URL: Volltext  (URL des Erstveröffentlichers)

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Format: 1 Online-Ressource (XIV, 340 S.) , Ill., graph. Darst.

Edition: Repr. of the 1994 ed.

ISBN: 9780817647162 , 9780817647179

Series Statement: Modern Birkhäuser Classics

Language: English

Subjects: Mathematics

Keywords: Quantengruppe

DOI: 10.1007/978-0-8176-4717-9

URL: Volltext

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Format: 1 Online-Ressource

ISBN: 9781470423995

Series Statement: Regional conference series in mathematics 39

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 0-8218-1689-6

Language: English

Subjects: Mathematics

Keywords: Endliche Chevalley-Gruppe ; Darstellungstheorie ; Endliche Chevalley-Gruppe ; Darstellung ; Endliche Gruppe ; Chevalley-Gruppe ; Gruppe ; Darstellung ; Konferenzschrift

DOI: 10.1090/cbms/039

URL: Volltext  (URL des Erstveröffentlichers)

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Format: 1 online resource

ISBN: 9781400881772

Series Statement: Annals of Mathematics Studies number 107

Content: This book presents a classification of all (complex) irreducible representations of a reductive group with connected centre, over a finite field. To achieve this, the author uses etale intersection cohomology, and detailed information on representations of Weyl groups

Note: Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) , In English

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 0-691-08350-9

Language: English

Subjects: Mathematics

Keywords: Reduktive Gruppe ; Charakter ; Galois-Feld

DOI: 10.1515/9781400881772

URL: Volltext  (URL des Erstveröffentlichers)

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Format: 1 online resource

ISBN: 9781400881765

Series Statement: Annals of Mathematics Studies number 81

Content: In this book Professor Lusztig solves an interesting problem by entirely new methods: specifically, the use of cohomology of buildings and related complexes.The book gives an explicit construction of one distinguished member, D(V), of the discrete series of GLn (Fq), where V is the n-dimensional F-vector space on which GLn(Fq) acts. This is a p-adic representation; more precisely D(V) is a free module of rank (q--1) (q2—1)...(qn-1—1) over the ring of Witt vectors WF of F. In Chapter 1 the author studies the homology of partially ordered sets, and proves some vanishing theorems for the homology of some partially ordered sets associated to geometric structures. Chapter 2 is a study of the representation △ of the affine group over a finite field. In Chapter 3 D(V) is defined, and its restriction to parabolic subgroups is determined. In Chapter 4 the author computes the character of D(V), and shows how to obtain other members of the discrete series by applying Galois automorphisms to D(V). Applications are in Chapter 5. As one of the main applications of his study the author gives a precise analysis of a Brauer lifting of the standard representation of GLn(Fq)

Note: Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) , In English

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 0-691-08154-9

Language: English

Subjects: Mathematics

Keywords: Lineare Gruppe ; Ordnung n ; Diskrete Reihe

DOI: 10.1515/9781400881765

URL: Volltext  (URL des Erstveröffentlichers)