Lie algebras : finite and infinite dimensional Lie algebras and applications in physics /

This is the long awaited follow-up to Lie Algebras, Part I which covered a major part of the theory of Kac-Moody algebras, stressing primarily their mathematical structure. Part II deals mainly with the representations and applications of Lie Algebras and contains many cross references to Part I. Th...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: B�auerle, G. G. A. (Gerard G. A.)
Otros Autores: Kerf, E. A. de (Eddy A.), Kroode, A. P. E. ten
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam, the Netherlands : New York, N.Y. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., �1990-�1997.
Colección:Studies in mathematical physics ; v. 1, 7.
Temas:
Lie algebras.
Mathematical physics.
Alg�ebres de Lie.
Physique math�ematique.
Lie algebras
Mathematical physics
Lie-algebra's.
Lie, Alg�ebres de.
Acceso en línea:Texto completo
Texto completo
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MARC

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100 1 |a B�auerle, G. G. A.  |q (Gerard G. A.) 
245 1 0 |a Lie algebras :  |b finite and infinite dimensional Lie algebras and applications in physics /  |c G.G.A. B�auerle, E.A. de Kerf. 
260 |a Amsterdam, the Netherlands :  |b North-Holland ;  |a New York, N.Y. :  |b Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,  |c �1990-�1997. 
300 |a 1 online resource (2 volumes) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Studies in mathematical physics ;  |v v. 1, 7 
520 |a This is the long awaited follow-up to Lie Algebras, Part I which covered a major part of the theory of Kac-Moody algebras, stressing primarily their mathematical structure. Part II deals mainly with the representations and applications of Lie Algebras and contains many cross references to Part I. The theoretical part largely deals with the representation theory of Lie algebras with a triangular decomposition, of which Kac-Moody algebras and the Virasoro algebra are prime examples. After setting up the general framework of highest weight representations, the book continues to treat topics as the Casimir operator and the Weyl-Kac character formula, which are specific for Kac-Moody algebras. The applications have a wide range. First, the book contains an exposition on the role of finite-dimensional semisimple Lie algebras and their representations in the standard and grand unified models of elementary particle physics. A second application is in the realm of soliton equations and their infinite-dimensional symmetry groups and algebras. The book concludes with a chapter on conformal field theory and the importance of the Virasoro and Kac-Moody algebras therein. 
500 |a Pt. 2 authors: E.A. de Kerf, G.G.A. B�auerle, A.P.E. ten Kroode. 
500 |a Pt. 2 lacks distributor statement. 
504 |a Includes bibliographical references and indexes. 
505 0 |a Extensions of Lie algebras -- Explicit construction of affine Kac-Moody algebras -- Representations-nenveloping algebr a techniques -- The Weyl group and integrable representations -- More on representations -- Characters and multiplicities -- Quarks, leptons and gauge fields -- Lie algebras of infinite matrices -- Representations of loop algebras -- KP-hierarchies -- Conformal symmetry. 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2010.  |5 MiAaHDL 
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650 0 |a Lie algebras. 
650 0 |a Mathematical physics. 
650 6 |a Alg�ebres de Lie.  |0 (CaQQLa)201-0025324 
650 6 |a Physique math�ematique.  |0 (CaQQLa)201-0008394 
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650 7 |a Mathematical physics  |2 fast  |0 (OCoLC)fst01012104 
650 1 7 |a Lie-algebra's.  |2 gtt 
650 7 |a Physique math�ematique.  |2 ram 
650 7 |a Lie, Alg�ebres de.  |2 ram 
700 1 |a Kerf, E. A. de  |q (Eddy A.) 
700 1 |a Kroode, A. P. E. ten. 
776 0 8 |i Print version:  |a B�auerle, G.G.A. (Gerard G.A.).  |t Lie algebras.  |d Amsterdam, the Netherlands : North-Holland ; New York, N.Y. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., �1990-�1997  |z 0444887768  |z 9780444887764  |w (DLC) 90014231  |w (OCoLC)22382442 
830 0 |a Studies in mathematical physics ;  |v v. 1, 7. 
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