skip to content
Representation theory of finite reductive groups Preview this item
ClosePreview this item
Checking...

Representation theory of finite reductive groups

Author: Marc Cabanes; Michel Enguehard
Publisher: Cambridge, UK ; New York : Cambridge University Press, 2004.
Series: New mathematical monographs, 1.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Cabanes and Enguehard blend many of the main concerns of modern algebra, synthesising the past 25 years of research, with full proofs of some of the most remarkable achievements. Three main themes are evident: first, applications of étale cohomology; second, the Dipper-James theorems; finally, local representation theory.
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Cabanes, Marc, 1959-
Representation theory of finite reductive groups.
Cambridge, UK ; New York : Cambridge University Press, 2004
(DLC) 2003055189
(OCoLC)52418133
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Marc Cabanes; Michel Enguehard
ISBN: 0511165668 9780511165665 0511163738 9780511163739 0521825172 9780521825177 051116453X 9780511164538 0511184131 9780511184130 9780511542763 0511542763 1280437413 9781280437410
OCLC Number: 69147195
Description: 1 online resource (xvii, 436 pages).
Contents: Introduction; Notations and conventions; Part I. Representing Finite BN-Pairs: 1. Cuspidality in finite groups; 2. Finite BN-pairs; 3. Modular Hecke algebras for finite BN-pairs; 4. Modular duality functor and the derived category; 5. Local methods for the transversal characteristics; 6. Simple modules in the natural characteristic; Part II. Deligne-Lusztig Varieties, Rational Series, and Morita Equivalences: 7. Finite reductive groups and Deligne-Lusztig varieties; 8. Characters of finite reductive groups; 9. Blocks of finite reductive groups and rational series; 10. Jordan decomposition as a Morita equivalence, the main reductions; 11. Jordan decomposition as a Morita equivalence, sheaves; 12. Jordan decomposition as a Morita equivalence, modules; Part III. Unipotent Characters and Unipotent Blocks: 13. Levi subgroups and polynomial orders; 14. Unipotent characters as a basic set; 15. Jordan decomposition of characters; 16. On conjugacy classes in type D; 17. Standard isomorphisms for unipotent blocks; Part IV. Decomposition Numbers and q-Schur Algebras: 18. Some integral Hecke algebras; 19. Decomposition numbers and q-Schur algebras, general linear groups; 20. Decomposition numbers and q-Schur algebras, linear primes; Part V. Unipotent Blocks and Twisted Induction: 21. Local methods. Twisted induction for blocks; 22. Unipotent blocks and generalized Harish Chandra theory; 23. Local structure and ring structure of unipotent blocks; Appendix 1: Derived categories and derived functors; Appendix 2: Varieties and schemes; Appendix 3: Etale cohomology; References; Index.
Series Title: New mathematical monographs, 1.
Responsibility: Marc Cabanes, Michel Enguehard.
More information:

Abstract:

A research level synthesis and reference in a key branch of modern algebra, first published in 2004.  Read more...

Reviews

Editorial reviews

Publisher Synopsis

'This monograph treats the representation theory of finite reductive groups mostly in transversal characteristic, i.e. in a characteristic that differs from the natural characteristic p of the Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/69147195> # Representation theory of finite reductive groups
    a schema:MediaObject, schema:CreativeWork, schema:Book ;
    library:oclcnum "69147195" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/enk> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/710810#Place/cambridge_uk> ; # Cambridge, UK
    library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
    schema:about <http://experiment.worldcat.org/entity/work/data/710810#Topic/darstellungstheorie> ; # Darstellungstheorie
    schema:about <http://dewey.info/class/512.2/e22/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/710810#Topic/endliche_gruppe> ; # Endliche Gruppe
    schema:about <http://id.worldcat.org/fast/1094938> ; # Representations of groups
    schema:about <http://experiment.worldcat.org/entity/work/data/710810#Topic/representatie_wiskunde> ; # Representatie (wiskunde)
    schema:about <http://id.worldcat.org/fast/924908> ; # Finite groups
    schema:about <http://experiment.worldcat.org/entity/work/data/710810#Topic/mathematics_group_theory> ; # MATHEMATICS--Group Theory
    schema:about <http://experiment.worldcat.org/entity/work/data/710810#Topic/reductieve_groepen> ; # Reductieve groepen
    schema:bookFormat schema:EBook ;
    schema:contributor <http://viaf.org/viaf/31839115> ; # Michel Enguehard
    schema:creator <http://viaf.org/viaf/17444381> ; # Marc Cabanes
    schema:datePublished "2004" ;
    schema:description "Cabanes and Enguehard blend many of the main concerns of modern algebra, synthesising the past 25 years of research, with full proofs of some of the most remarkable achievements. Three main themes are evident: first, applications of étale cohomology; second, the Dipper-James theorems; finally, local representation theory."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/710810> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/710810#Series/new_mathematical_monographs> ; # New mathematical monographs ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/52418133> ;
    schema:name "Representation theory of finite reductive groups"@en ;
    schema:productID "69147195" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/69147195#PublicationEvent/cambridge_uk_new_york_cambridge_university_press_2004> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/710810#Agent/cambridge_university_press> ; # Cambridge University Press
    schema:url <http://ebookcentral.proquest.com/lib/warw/detail.action?docID=255184> ;
    schema:url <http://belhaven.idm.oclc.org/login?url=http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=152235> ;
    schema:url <http://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=255184> ;
    schema:url <http://www.myilibrary.com?id=43741> ;
    schema:url <http://dx.doi.org/10.1017/CBO9780511542763> ;
    schema:url <http://ebookcentral.proquest.com/lib/columbia/detail.action?docID=255184> ;
    schema:url <http://www.myilibrary.com?id=43741&ref=toc> ;
    schema:url <http://catdir.loc.gov/catdir/toc/cam032/2003055189.html> ;
    schema:url <http://www.survey.bris.ac.uk/standrews/cambridgebooksonlinetrial> ;
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=255184> ;
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=152235> ;
    schema:url <http://site.ebrary.com/id/10120482> ;
    schema:workExample <http://worldcat.org/isbn/9781280437410> ;
    schema:workExample <http://worldcat.org/isbn/9780521825177> ;
    schema:workExample <http://worldcat.org/isbn/9780511184130> ;
    schema:workExample <http://worldcat.org/isbn/9780511165665> ;
    schema:workExample <http://worldcat.org/isbn/9780511164538> ;
    schema:workExample <http://worldcat.org/isbn/9780511542763> ;
    schema:workExample <http://worldcat.org/isbn/9780511163739> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/69147195> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
    schema:name "New York" ;
    .

<http://dx.doi.org/10.1017/CBO9780511542763>
    rdfs:comment "Connect to e-book" ;
    .

<http://experiment.worldcat.org/entity/work/data/710810#Agent/cambridge_university_press> # Cambridge University Press
    a bgn:Agent ;
    schema:name "Cambridge University Press" ;
    .

<http://experiment.worldcat.org/entity/work/data/710810#Place/cambridge_uk> # Cambridge, UK
    a schema:Place ;
    schema:name "Cambridge, UK" ;
    .

<http://experiment.worldcat.org/entity/work/data/710810#Series/new_mathematical_monographs> # New mathematical monographs ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/69147195> ; # Representation theory of finite reductive groups
    schema:name "New mathematical monographs ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/710810#Topic/darstellungstheorie> # Darstellungstheorie
    a schema:Intangible ;
    schema:name "Darstellungstheorie"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/710810#Topic/endliche_gruppe> # Endliche Gruppe
    a schema:Intangible ;
    schema:name "Endliche Gruppe"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/710810#Topic/mathematics_group_theory> # MATHEMATICS--Group Theory
    a schema:Intangible ;
    schema:name "MATHEMATICS--Group Theory"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/710810#Topic/reductieve_groepen> # Reductieve groepen
    a schema:Intangible ;
    schema:name "Reductieve groepen"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/710810#Topic/representatie_wiskunde> # Representatie (wiskunde)
    a schema:Intangible ;
    schema:name "Representatie (wiskunde)"@en ;
    .

<http://id.worldcat.org/fast/1094938> # Representations of groups
    a schema:Intangible ;
    schema:name "Representations of groups"@en ;
    .

<http://id.worldcat.org/fast/924908> # Finite groups
    a schema:Intangible ;
    schema:name "Finite groups"@en ;
    .

<http://viaf.org/viaf/17444381> # Marc Cabanes
    a schema:Person ;
    schema:birthDate "1959" ;
    schema:familyName "Cabanes" ;
    schema:givenName "Marc" ;
    schema:name "Marc Cabanes" ;
    .

<http://viaf.org/viaf/31839115> # Michel Enguehard
    a schema:Person ;
    schema:familyName "Enguehard" ;
    schema:givenName "Michel" ;
    schema:name "Michel Enguehard" ;
    .

<http://worldcat.org/isbn/9780511163739>
    a schema:ProductModel ;
    schema:isbn "0511163738" ;
    schema:isbn "9780511163739" ;
    .

<http://worldcat.org/isbn/9780511164538>
    a schema:ProductModel ;
    schema:isbn "051116453X" ;
    schema:isbn "9780511164538" ;
    .

<http://worldcat.org/isbn/9780511165665>
    a schema:ProductModel ;
    schema:isbn "0511165668" ;
    schema:isbn "9780511165665" ;
    .

<http://worldcat.org/isbn/9780511184130>
    a schema:ProductModel ;
    schema:isbn "0511184131" ;
    schema:isbn "9780511184130" ;
    .

<http://worldcat.org/isbn/9780511542763>
    a schema:ProductModel ;
    schema:isbn "0511542763" ;
    schema:isbn "9780511542763" ;
    .

<http://worldcat.org/isbn/9780521825177>
    a schema:ProductModel ;
    schema:isbn "0521825172" ;
    schema:isbn "9780521825177" ;
    .

<http://worldcat.org/isbn/9781280437410>
    a schema:ProductModel ;
    schema:isbn "1280437413" ;
    schema:isbn "9781280437410" ;
    .

<http://www.survey.bris.ac.uk/standrews/cambridgebooksonlinetrial>
    rdfs:comment "We have trial access to this e-book until 31/7/2012 through our Cambridge Books Online trial of over 12,000 titles. Please tell us if you would like to recommend continued access to it" ;
    .

<http://www.worldcat.org/oclc/52418133>
    a schema:CreativeWork ;
    rdfs:label "Representation theory of finite reductive groups." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/69147195> ; # Representation theory of finite reductive groups
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.