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Vertex operator algebras and the Monster /

This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator alg...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Frenkel, Igor
Otros Autores: Lepowsky, J. (James), Meurman, Arne
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston : Academic Press, �1988.
Colección:Pure and applied mathematics (Academic Press) ; 134.
Temas:
Acceso en línea:Texto completo
Texto completo

MARC

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008 090320s1988 maua ob 001 0 eng d
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020 |a 9780080874548  |q (electronic book) 
020 |a 0080874541  |q (electronic book) 
020 |z 9781281982056 
020 |z 1281982059 
020 |z 9780122670657 
020 |z 0122670655 
035 |a (OCoLC)316568589  |z (OCoLC)392494060  |z (OCoLC)646797777  |z (OCoLC)823841013  |z (OCoLC)823908924  |z (OCoLC)824097738  |z (OCoLC)824152217 
050 4 |a QA3  |b .P8 vol. 134eb 
050 4 |a QA326  |b .F74 1988eb 
072 7 |a MAT  |x 002050  |2 bisacsh 
072 7 |a KMC  |2 bicssc 
082 0 4 |a 510  |a 512/.55  |2 22 
100 1 |a Frenkel, Igor. 
245 1 0 |a Vertex operator algebras and the Monster /  |c Igor Frenkel, James Lepowsky, Arne Meurman. 
260 |a Boston :  |b Academic Press,  |c �1988. 
300 |a 1 online resource (liii, 508 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Pure and applied mathematics ;  |v v. 134 
504 |a Includes bibliographical references (pages 483-492) and index. 
505 2 |a Lie algebras -- Formal calculus -- Realizations of sl(2) by twisted vertex operators -- Realizations of sl(2) by untwisted vertex operators -- Central extensions -- The simple lie algebras An, Dn, En -- Vertex operator realizations of An, Dn, En -- General theory of untwisted vertex operators -- General theory of twisted vertex operators -- The Moonshine module -- Triality -- The main theorem -- Completion of the proof -- Appendix : complex realization of vertex operator algebras. 
520 |a This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two-dimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous moonshine." 
588 0 |a Print version record. 
650 0 |a Vertex operator algebras. 
650 0 |a Representations of algebras. 
650 0 |a Superstring theories. 
650 0 |a Finite groups. 
650 0 |a Modular functions. 
650 0 |a Operator algebras. 
650 6 |a Repr�esentations des alg�ebres.  |0 (CaQQLa)201-0068113 
650 6 |a Supercordes (Physique nucl�eaire)  |0 (CaQQLa)201-0164778 
650 6 |a Groupes finis.  |0 (CaQQLa)201-0015283 
650 6 |a Fonctions modulaires.  |0 (CaQQLa)201-0043699 
650 6 |a Alg�ebres d'op�erateurs.  |0 (CaQQLa)201-0081805 
650 6 |a Alg�ebres d'op�erateurs des sommets.  |0 (CaQQLa)201-0263379 
650 7 |a MATHEMATICS  |x Algebra  |x Linear.  |2 bisacsh 
650 7 |a Operator algebras  |2 fast  |0 (OCoLC)fst01046408 
650 7 |a Finite groups  |2 fast  |0 (OCoLC)fst00924908 
650 7 |a Modular functions  |2 fast  |0 (OCoLC)fst01024502 
650 7 |a Representations of algebras  |2 fast  |0 (OCoLC)fst01094934 
650 7 |a Superstring theories  |2 fast  |0 (OCoLC)fst01139037 
650 7 |a Vertex operator algebras  |2 fast  |0 (OCoLC)fst01165591 
650 1 7 |a Snaartheorie.  |2 gtt 
650 1 7 |a Eindige groepen.  |2 gtt 
650 1 7 |a Modulaire functies.  |2 gtt 
650 1 7 |a Roosterpunten.  |2 gtt 
650 1 7 |a Operatoren.  |2 gtt 
650 1 7 |a Operatorenvergelijkingen.  |2 gtt 
650 1 7 |a Lie-algebra's.  |2 gtt 
650 7 |a Groupes finis.  |2 ram 
650 7 |a Fonctions modulaires.  |2 ram 
700 1 |a Lepowsky, J.  |q (James) 
700 1 |a Meurman, Arne. 
776 0 8 |i Print version:  |a Frenkel, Igor.  |t Vertex operator algebras and the Monster.  |d Boston : Academic Press, �1988  |z 0122670655  |z 9780122670657  |w (DLC) 88007533  |w (OCoLC)18560743 
830 0 |a Pure and applied mathematics (Academic Press) ;  |v 134. 
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856 4 0 |u https://sciencedirect.uam.elogim.com/science/bookseries/00798169/134  |z Texto completo