skip to content
Infinite dimensional Lie algebras Preview this item
ClosePreview this item
Checking...

Infinite dimensional Lie algebras

Author: Victor G Kac
Publisher: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1985.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Summary:

This is the third, substantially revised edition of this important monograph and graduate text. Each chapter begins with a motivating discussion and ends with a collection of exercises, with hints to  Read more...

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

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Victor G Kac
ISBN: 0521321336 9780521321334
OCLC Number: 12189118
Description: xvii, 280 pages : illustrations ; 24 cm
Contents: 1. Basic definitions; 2. The invariant bilinear form and the generalized Casimir operator; 3. Integrable representations of Kac-Moody algebras and the Weyl group; 4. A classification of generalized Cartan matrices; 5. Real and imaginary roots; 6. Affine algebras: The normalized invariant form, the root system, and the Weyl group; 7. Affine algebras as central extensions of loop algebras; 8. Twisted affine algebras and finite order automorphisms; 9. Highest-weight modules over Kac-Moody algebras; 10. Integrable highest-weight modules: The character formula; 11. Integrable highest-weight modules: The weight system and the unitarizability; 12. Integrable highest-weight modules over affine algebras. Application to n-function identities. Sugawara operators and branching functions; 13. Affine algebras, theta functions, and modular forms; 14. The principal and homogeneous vertex operator constructions of the basic representation. Boson-Fermion correspondence. Application to soliton equations.
Responsibility: Victor G. Kac.
More information:

Reviews

Editorial reviews

Publisher Synopsis

'A clear account of Kac-Moody algebras by one of the founders ... Eminently suitable as an introduction ... with a surprising number of exercises.' American Mathematical Monthly '... a useful 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/12189118> # Infinite dimensional Lie algebras
    a schema:CreativeWork, schema:Book ;
    library:oclcnum "12189118" ;
    library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/5204842#Place/cambridge_cambridgeshire> ; # Cambridge Cambridgeshire
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/enk> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/5204842#Topic/lie_algebra_s> ; # Lie-algebra's
    schema:about <http://experiment.worldcat.org/entity/work/data/5204842#Thing/lie_algebras> ; # Lie algebras
    schema:about <http://experiment.worldcat.org/entity/work/data/5204842#Topic/lie_algebres_de> ; # Lie, Algèbres de
    schema:about <http://id.worldcat.org/fast/972423> ; # Infinite dimensional Lie algebras
    schema:about <http://experiment.worldcat.org/entity/work/data/5204842#Topic/oneindige_dimensie> ; # Oneindige dimensie
    schema:about <http://dewey.info/class/512.55/e19/> ;
    schema:bookEdition "2nd ed." ;
    schema:bookFormat bgn:PrintBook ;
    schema:creator <http://viaf.org/viaf/5002909> ; # Victor G. Kac
    schema:datePublished "1985" ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/5204842> ;
    schema:inLanguage "en" ;
    schema:name "Infinite dimensional Lie algebras"@en ;
    schema:productID "12189118" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/12189118#PublicationEvent/cambridge_cambridgeshire_new_york_cambridge_university_press_1985> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/5204842#Agent/cambridge_university_press> ; # Cambridge University Press
    schema:url <http://www.gbv.de/dms/bowker/toc/9780521321334.pdf> ;
    schema:url <http://catdir.loc.gov/catdir/toc/cam027/85014896.html> ;
    schema:workExample <http://worldcat.org/isbn/9780521321334> ;
    umbel:isLike <http://bnb.data.bl.uk/id/resource/GB8530268> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/12189118> ;
    .


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/5204842#Agent/cambridge_university_press> # Cambridge University Press
    a bgn:Agent ;
    schema:name "Cambridge University Press" ;
    .

<http://experiment.worldcat.org/entity/work/data/5204842#Place/cambridge_cambridgeshire> # Cambridge Cambridgeshire
    a schema:Place ;
    schema:name "Cambridge Cambridgeshire" ;
    .

<http://experiment.worldcat.org/entity/work/data/5204842#Topic/lie_algebres_de> # Lie, Algèbres de
    a schema:Intangible ;
    schema:name "Lie, Algèbres de"@en ;
    schema:name "Lie, Algèbres de"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/5204842#Topic/oneindige_dimensie> # Oneindige dimensie
    a schema:Intangible ;
    schema:name "Oneindige dimensie"@en ;
    .

<http://id.worldcat.org/fast/972423> # Infinite dimensional Lie algebras
    a schema:Intangible ;
    schema:name "Infinite dimensional Lie algebras"@en ;
    .

<http://viaf.org/viaf/5002909> # Victor G. Kac
    a schema:Person ;
    schema:birthDate "1943" ;
    schema:familyName "Kac" ;
    schema:givenName "Victor G." ;
    schema:name "Victor G. Kac" ;
    .

<http://worldcat.org/isbn/9780521321334>
    a schema:ProductModel ;
    schema:isbn "0521321336" ;
    schema:isbn "9780521321334" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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