pular para conteúdo
Coxeter Graphs and Towers of Algebras Ver prévia deste item
FecharVer prévia deste item
Checando...

Coxeter Graphs and Towers of Algebras

Autor: Frederick M Goodman; Pierre de la Harpe; Vaughan F R Jones
Editora: New York : Springer-Verlag, 1989
Séries: Mathematical Sciences Research Institute Publications, 14
Edição/Formato   Print book : InglêsVer todas as edições e formatos
Base de Dados:WorldCat
Classificação:

(ainda não classificado) 0 com críticas - Seja o primeiro.

Assuntos
Mais como este

 

Encontrar uma cópia na biblioteca

&AllPage.SpinnerRetrieving; Encontrando bibliotecas que possuem este item...

Detalhes

Tipo de Documento: Livro
Todos os Autores / Contribuintes: Frederick M Goodman; Pierre de la Harpe; Vaughan F R Jones
ISBN: 0387969799 9780387969794 3540969799 9783540969792
Número OCLC: 460823930
Descrição: vi, 288 s.
Conteúdos: 1. Matrices over the natural numbers: values of the norm, classification, and variations.- 1.1. Introduction.- 1.2. Proof of Kronecker's theorem.- 1.3. Decomposability and pseudo-equivalence.- 1.4. Graphs with norms no larger than 2.- 1.5. The set E of norms of graphs and integral matrices.- 2. Towers of multi-matrix algebras.- 2.1. Introduction.- 2.2. Commutant and bicommutant.- 2.3. Inclusion matrix and Bratteli diagram for inclusions of multi-matrix algebras.- 2.4. The fundamental construction and towers for multi-matrix algebras.- 2.5. Traces.- 2.6. Conditional expectations.- 2.7. Markov traces on pairs of multi-matrix algebras.- 2.8. The algebras A?,k for generic ?.- 2.9. An approach to the non-generic case.- 2.10. A digression on Hecke algebras.- 2.10.a. The complex Hecke algebra defined by GLn(q) and its Borel subgroup.- 2.10.b. The Hecke algebras Hq,n.- 2.10.c. Complex representations of the symmetric group.- 2.10.d. Irreducible representations of Hq,n for q ? ?.- 2.11. The relationship between A?,n and the Hecke algebras.- 3. Finite von Neumann algebras with finite dimensional centers.- 3.1. Introduction.- 3.2. The coupling constant: definition.- 3.3. The coupling constant: examples.- 3.3.a. Discrete series.- 3.3.b. Factors defined by icc groups.- 3.3.c. W*(?)-modules associated to subrepresentations of ?G.- 3.3.d. The formula dim?(H) = covol(?) d?.- 3.3.e. A digression on the Peterson inner product.- 3.4. Index for subfactors of II1 factors.- 3.5. Inclusions of finite von Neumann algebras with finite dimensional centers.- 3.6. The fundamental construction.- 3.7. Markov traces on EndN(M), a generalization of index.- 4. Commuting squares, subfactors, and the derived tower.- 4.1. Introduction.- 4.2. Commuting squares.- 4.3. Wenzl's index formula.- 4.4. Examples of irreducible pairs of factors of index less than 4, and a lemma of C. Skau.- 4.5. More examples of irreducible paris of factors, and the index value 3 + 31/2.- 4.6. The derived tower and the Coxeter invariant.- 4.7. Examples of derived towers.- 4.7.a. Finite group actions.- 4.7.b. The An Coxeter graphs.- 4.7.c. A general method.- 4.7.d. Some examples of derived towers for index 4 subfactors.- 4.7.e. The tunnel construction.- 4.7.f. The derived tower for R ? R?, when ? > 4.- Appendix I. Classification of Coxeter graphs with spectral radius just beyond the Kronecker range.- I.1. The results.- I.2. Computations of characteristic polynomials for ordinary graphs.- I.3. Proofs of theorems I.1.2 and I.1.3.- Appendix II.a. Complex semisimple algebras and finite dimensional C*-algebras.- Appendix III. Hecke groups and other subgroups of PSL(2,?) generated by parabolic pairs.- References.
Título da Série: Mathematical Sciences Research Institute Publications, 14
Responsabilidade: Frederick M. Goodman, Pierre de la Harpe, Vaughan F.R. Jones

Críticas

Críticas contribuídas por usuários
Recuperando críticas GoodReas...
Recuperando comentários DOGObooks

Etiquetas

Seja o primeiro.

Ítens Similares

Confirmar esta solicitação

Você já pode ter solicitado este item. Por favor, selecione Ok se gostaria de proceder com esta solicitação de qualquer forma.

Dados Ligados


Primary Entity

<http://www.worldcat.org/oclc/460823930> # Coxeter Graphs and Towers of Algebras
    a schema:Book, schema:CreativeWork ;
    library:oclcnum "460823930" ;
    library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
    schema:about <http://dewey.info/class/512.55/e19/> ;
    schema:about <http://id.worldcat.org/fast/863429> ; # Class field towers
    schema:about <http://id.worldcat.org/fast/882059> ; # Coxeter graphs
    schema:about <http://experiment.worldcat.org/entity/work/data/21166218#Topic/class_field_towers> ; # Class field towers
    schema:about <http://id.loc.gov/authorities/subjects/sh89001020> ; # Coxeter graphs
    schema:about <http://id.loc.gov/authorities/subjects/sh89001019> ; # Class field towers
    schema:about <http://experiment.worldcat.org/entity/work/data/21166218#Topic/coxeter_graphs> ; # Coxeter graphs
    schema:bookFormat bgn:PrintBook ;
    schema:contributor <http://viaf.org/viaf/12381935> ; # Frederick M. Goodman
    schema:contributor <http://viaf.org/viaf/22203611> ; # Pierre de la Harpe
    schema:contributor <http://viaf.org/viaf/73925463> ; # Vaughan FR Jones
    schema:datePublished "1989" ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/21166218> ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/21166218#Series/mathematical_sciences_research_institute_publications> ; # Mathematical Sciences Research Institute Publications ;
    schema:name "Coxeter Graphs and Towers of Algebras" ;
    schema:productID "460823930" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/460823930#PublicationEvent/new_york_springer_verlag_1989> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/21166218#Agent/springer_verlag> ; # Springer-Verlag
    schema:workExample <http://worldcat.org/isbn/9783540969792> ;
    schema:workExample <http://worldcat.org/isbn/9780387969794> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/460823930> ;
    .


Related Entities

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

<http://experiment.worldcat.org/entity/work/data/21166218#Agent/springer_verlag> # Springer-Verlag
    a bgn:Agent ;
    schema:name "Springer-Verlag" ;
    .

<http://experiment.worldcat.org/entity/work/data/21166218#Series/mathematical_sciences_research_institute_publications> # Mathematical Sciences Research Institute Publications ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/460823930> ; # Coxeter Graphs and Towers of Algebras
    schema:name "Mathematical Sciences Research Institute Publications ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/21166218#Topic/class_field_towers> # Class field towers
    a schema:Intangible ;
    schema:name "Class field towers" ;
    .

<http://id.loc.gov/authorities/subjects/sh89001019> # Class field towers
    a schema:Intangible ;
    schema:name "Class field towers" ;
    .

<http://id.loc.gov/authorities/subjects/sh89001020> # Coxeter graphs
    a schema:Intangible ;
    schema:name "Coxeter graphs" ;
    .

<http://id.worldcat.org/fast/863429> # Class field towers
    a schema:Intangible ;
    schema:name "Class field towers" ;
    .

<http://id.worldcat.org/fast/882059> # Coxeter graphs
    a schema:Intangible ;
    schema:name "Coxeter graphs" ;
    .

<http://viaf.org/viaf/12381935> # Frederick M. Goodman
    a schema:Person ;
    schema:familyName "Goodman" ;
    schema:givenName "Frederick M." ;
    schema:name "Frederick M. Goodman" ;
    .

<http://viaf.org/viaf/22203611> # Pierre de la Harpe
    a schema:Person ;
    schema:familyName "la Harpe" ;
    schema:givenName "Pierre de" ;
    schema:name "Pierre de la Harpe" ;
    .

<http://viaf.org/viaf/73925463> # Vaughan FR Jones
    a schema:Person ;
    schema:familyName "Jones" ;
    schema:givenName "Vaughan F.R" ;
    schema:name "Vaughan FR Jones" ;
    .

<http://worldcat.org/isbn/9780387969794>
    a schema:ProductModel ;
    schema:isbn "0387969799" ;
    schema:isbn "9780387969794" ;
    .

<http://worldcat.org/isbn/9783540969792>
    a schema:ProductModel ;
    schema:isbn "3540969799" ;
    schema:isbn "9783540969792" ;
    .


Content-negotiable representations

Close Window

Por favor, conecte-se ao WorldCat 

Não tem uma conta? Você pode facilmente criar uma conta gratuita.