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

Infinite dimensional Lie algebras

Author: Victor G Kac
Publisher: Cambridge ; New York : Cambridge University Press, 1994.
Edition/Format:   Print book : English : 3rd ed., reprint. with corrView all editions and formats
Database:WorldCat
Rating:

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

Subjects
More like this

 

Find a copy in the library

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

Details

Document Type: Book
All Authors / Contributors: Victor G Kac
ISBN: 0521466938 9780521466936
OCLC Number: 40398125
Description: xxi, 400 p. ; 24 cm.
Contents: Basic definitions --
The invariant bilinear form and the generalized Casimir operator --
Integrable representations of Kac-Moody algebras and the Weyl group --
A classification of generalized Cartan matrices --
Real and imaginary roots --
Affine algebras: the normalized invariant form, the root system, and the Weyl group --
Affine algebras as central extensions of loop algebras --
Twisted affine algebras and finite order automorphisms --
Highest-weight modules over Kac-Moody algebras --
Integrable highest-weight modules: the character formula --
Integrable highest-weight modules: the weight system and the unitarizability --
Integrable highest-weight modules over affine algebras. Application to n-function identities. Sugawara operators and branching functions --
Affine algebras, theta functions, and modular forms --
The principle and homogeneous vertex operator constructions of the basic representation. Boson-Fermion correspondence. Application to Soliton equations.
Responsibility: Victor G. Kac.

Reviews

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/40398125> # Infinite dimensional Lie algebras
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "40398125" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/enk> ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/5204842#Place/cambridge> ; # Cambridge
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   schema:about <http://dewey.info/class/512.2/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/5204842#Topic/algebres_de_lie> ; # Algèbres de Lie
   schema:about <http://id.worldcat.org/fast/972423> ; # Infinite dimensional Lie algebras
   schema:about <http://experiment.worldcat.org/entity/work/data/5204842#Topic/lie_algebres_de_de_dimension_infinie> ; # Lie, Algèbres de, de dimension infinie
   schema:about <http://experiment.worldcat.org/entity/work/data/5204842#Topic/algebres_de_lie_de_dimension_infinie> ; # Algèbres de Lie de dimension infinie
   schema:bookEdition "3rd ed., reprint. with corr." ;
   schema:bookFormat bgn:PrintBook ;
   schema:creator <http://viaf.org/viaf/5002909> ; # Victor G. Kac
   schema:datePublished "1994" ;
   schema:datePublished "1995" ;
   schema:description "Basic definitions -- The invariant bilinear form and the generalized Casimir operator -- Integrable representations of Kac-Moody algebras and the Weyl group -- A classification of generalized Cartan matrices -- Real and imaginary roots -- Affine algebras: the normalized invariant form, the root system, and the Weyl group -- Affine algebras as central extensions of loop algebras -- Twisted affine algebras and finite order automorphisms -- Highest-weight modules over Kac-Moody algebras -- Integrable highest-weight modules: the character formula -- Integrable highest-weight modules: the weight system and the unitarizability -- Integrable highest-weight modules over affine algebras. Application to n-function identities. Sugawara operators and branching functions -- Affine algebras, theta functions, and modular forms -- The principle and homogeneous vertex operator constructions of the basic representation. Boson-Fermion correspondence. Application to Soliton equations." ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/5204842> ;
   schema:inLanguage "en" ;
   schema:name "Infinite dimensional Lie algebras" ;
   schema:numberOfPages "400" ;
   schema:productID "40398125" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/40398125#PublicationEvent/cambridge_new_york_cambridge_university_press_1994> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/5204842#Agent/cambridge_university_press> ; # Cambridge University Press
   schema:workExample <http://worldcat.org/isbn/9780521466936> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/40398125> ;
    .


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#Topic/algebres_de_lie_de_dimension_infinie> # Algèbres de Lie de dimension infinie
    a schema:Intangible ;
   schema:name "Algèbres de Lie de dimension infinie"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/5204842#Topic/lie_algebres_de_de_dimension_infinie> # Lie, Algèbres de, de dimension infinie
    a schema:Intangible ;
   schema:name "Lie, Algèbres de, de dimension infinie" ;
    .

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

<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/9780521466936>
    a schema:ProductModel ;
   schema:isbn "0521466938" ;
   schema:isbn "9780521466936" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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