Cohomology of infinite-dimensional lie algebras / Fuks, D. B.

Public ISBD Titre : Cohomology of infinite-dimensional lie algebras Type de document : texte imprimé Auteurs : Fuks, D. B. ; Sosinskii, A. B. Trad. Editeur : New York, NY : Consultants Bureau Année de publication : 1986 Importance : xii - 339 p. ISBN/ISSN/EAN : 978-0-306-10990-4 Langues : Anglais (eng) Langues originales : Russe (rus) Catégories : 17-XX Nonassociative rings and algebras:17-02 Research exposition (monographs, survey articles) 17-XX Nonassociative rings and algebras:17AXX General nonassociative rings:17A70 Superalgebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B55 Homological methods in Lie (super)algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B56 Cohomology of Lie (super)algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B65 Infinite-dimensional Lie (super)algebras 22-XX Topological groups, Lie groups :22EXX Lie groups :22E65 Infinite-dimensional Lie groups and their Lie algebras 55-XX Algebraic topology:55NXX Homology and cohomology theories :55N22 Bordism and cobordism theories, formal group laws 57-XX Manifolds and cell complexes :57TXX Homology and homotopy of topological groups and related structures:57T10 Homology and cohomology of Lie groups Mots-clés : cohomology of lie superalgebras  kac-moody groups  cohomology of lie groups  invariant differential operators  combinatorial identities  cobordism theory  foliations  characteristic classes  smooth vector fields  current algebras  deformations  infinite dimensional lie algebras  cohomology  spectral sequence  loop algebra  formal vector fields Index. décimale : 17C Monographie Cohomology of infinite-dimensional lie algebras [texte imprimé] / Fuks, D. B. ; Sosinskii, A. B. Trad. . - New York, NY : Consultants Bureau, 1986 . - xii - 339 p. ISBN : 978-0-306-10990-4 Langues : Anglais (eng) Langues originales : Russe (rus) Catégories : 17-XX Nonassociative rings and algebras:17-02 Research exposition (monographs, survey articles) 17-XX Nonassociative rings and algebras:17AXX General nonassociative rings:17A70 Superalgebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B55 Homological methods in Lie (super)algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B56 Cohomology of Lie (super)algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B65 Infinite-dimensional Lie (super)algebras 22-XX Topological groups, Lie groups :22EXX Lie groups :22E65 Infinite-dimensional Lie groups and their Lie algebras 55-XX Algebraic topology:55NXX Homology and cohomology theories :55N22 Bordism and cobordism theories, formal group laws 57-XX Manifolds and cell complexes :57TXX Homology and homotopy of topological groups and related structures:57T10 Homology and cohomology of Lie groups Mots-clés : cohomology of lie superalgebras  kac-moody groups  cohomology of lie groups  invariant differential operators  combinatorial identities  cobordism theory  foliations  characteristic classes  smooth vector fields  current algebras  deformations  infinite dimensional lie algebras  cohomology  spectral sequence  loop algebra  formal vector fields Index. décimale : 17C Monographie

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Current algebras and groups / Mickelsson, Jouko

Public ISBD Titre : Current algebras and groups Type de document : texte imprimé Auteurs : Mickelsson, Jouko Mention d'édition : 1 Editeur : New York London : Plenum Press Année de publication : 1989 Collection : Plenum monographs on nonlinear physics Importance : xvii - 313 p. ISBN/ISSN/EAN : 978-0-306-43363-4 Langues : Anglais (eng) Catégories : 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B65 Infinite-dimensional Lie (super)algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B66 Lie algebras of vector fields and related (super) algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B81 Applications to physics 22-XX Topological groups, Lie groups :22-02 Research exposition (monographs, survey articles) 22-XX Topological groups, Lie groups :22EXX Lie groups :22E65 Infinite-dimensional Lie groups and their Lie algebras 22-XX Topological groups, Lie groups :22EXX Lie groups :22E70 Applications of Lie groups to physics; explicit representations 58-XX Global analysis, analysis on manifolds :58BXX Infinite-dimensional manifolds:58B25 Group structures and generalizations on infinite-dimensional manifolds 58-XX Global analysis, analysis on manifolds :58DXX Spaces and manifolds of mappings (including nonlinear versions of 46Exx) :58D05 Groups of diffeomorphisms and homeomorphisms as manifolds 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current algebras and their representations Mots-clés : gauge field  wave functions  fock spaces  quantized wzw model  vacuum vectors  string theory  boson-fermion correspondence  exterior algebra  symmetric algebra  holomorphic line bundle  moduli space of connections  dirac determinant bundle  semisimple lie algebras  virasoro algebra  affine lie algebras  central extensions  symplectic manifolds  general linear group  current groups  lie algebras  infinite-dimensional lie groups  diffeomorphisms  smooth manifold  current algebras Index. décimale : 22C Monographie Current algebras and groups [texte imprimé] / Mickelsson, Jouko  . -  1 . - Plenum Press, 1989 . - xvii - 313 p.. - (Plenum monographs on nonlinear physics) . ISBN : 978-0-306-43363-4 Langues : Anglais (eng) Catégories : 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B65 Infinite-dimensional Lie (super)algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B66 Lie algebras of vector fields and related (super) algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B81 Applications to physics 22-XX Topological groups, Lie groups :22-02 Research exposition (monographs, survey articles) 22-XX Topological groups, Lie groups :22EXX Lie groups :22E65 Infinite-dimensional Lie groups and their Lie algebras 22-XX Topological groups, Lie groups :22EXX Lie groups :22E70 Applications of Lie groups to physics; explicit representations 58-XX Global analysis, analysis on manifolds :58BXX Infinite-dimensional manifolds:58B25 Group structures and generalizations on infinite-dimensional manifolds 58-XX Global analysis, analysis on manifolds :58DXX Spaces and manifolds of mappings (including nonlinear versions of 46Exx) :58D05 Groups of diffeomorphisms and homeomorphisms as manifolds 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current algebras and their representations Mots-clés : gauge field  wave functions  fock spaces  quantized wzw model  vacuum vectors  string theory  boson-fermion correspondence  exterior algebra  symmetric algebra  holomorphic line bundle  moduli space of connections  dirac determinant bundle  semisimple lie algebras  virasoro algebra  affine lie algebras  central extensions  symplectic manifolds  general linear group  current groups  lie algebras  infinite-dimensional lie groups  diffeomorphisms  smooth manifold  current algebras Index. décimale : 22C Monographie

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Developments and trends in infinite-dimensional Lie theory

Public ISBD Titre : Developments and trends in infinite-dimensional Lie theory Type de document : texte imprimé Auteurs : Karl-Hermann Neeb, Editeur scientifique ; Arturo Pianzola (1955-....), Editeur scientifique Editeur : Birkhäuser Verlag Année de publication : 2011 Collection : Progress in Mathematics num. 288 Importance : viii - 492 p. Format : 24 cm. ISBN/ISSN/EAN : 978-0-8176-4740-7 Langues : Anglais (eng) Catégories : 17-XX Nonassociative rings and algebras:17-06 Proceedings, conferences, collections, etc. 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B10 Representations, algebraic theory (weights) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B65 Infinite-dimensional Lie (super)algebras 22-XX Topological groups, Lie groups :22EXX Lie groups :22E65 Infinite-dimensional Lie groups and their Lie algebras Mots-clés : nonassoc. rings and algebras  Lie algebras  Kac-Moody algebras Index. décimale : 17B Publication collective Developments and trends in infinite-dimensional Lie theory [texte imprimé] / Karl-Hermann Neeb, Editeur scientifique ; Arturo Pianzola (1955-....), Editeur scientifique . - Birkhäuser Verlag, 2011 . - viii - 492 p. ; 24 cm.. - (Progress in Mathematics; 288) . ISBN : 978-0-8176-4740-7 Langues : Anglais (eng) Catégories : 17-XX Nonassociative rings and algebras:17-06 Proceedings, conferences, collections, etc. 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B10 Representations, algebraic theory (weights) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B65 Infinite-dimensional Lie (super)algebras 22-XX Topological groups, Lie groups :22EXX Lie groups :22E65 Infinite-dimensional Lie groups and their Lie algebras Mots-clés : nonassoc. rings and algebras  Lie algebras  Kac-Moody algebras Index. décimale : 17B Publication collective

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Extended affine Lie algebras and their root systems / Allison, Bruce N.

Public ISBD Titre : Extended affine Lie algebras and their root systems Type de document : texte imprimé Auteurs : Allison, Bruce N. ; Pianzola, Arturo ; Gao, Yun ; Berman, Stephen ; Azam, Saeid Editeur : Providence, R.I. : American Mathematical Society Année de publication : 1997 Collection : Memoirs of the AMS, ISSN 0065-9266 num. 603 Importance : 122 p. ISBN/ISSN/EAN : 978-0-8218-0594-7 Langues : Anglais (eng) Catégories : 17-XX Nonassociative rings and algebras:17-02 Research exposition (monographs, survey articles) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B65 Infinite-dimensional Lie (super)algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B67 Kac-Moody algebras (structure and representation theory) Mots-clés : nonisotropic roots  extended affine root systems  basic structure  irreducible quasi-simple lie algebras  root systems  extended affine lie algebras Index. décimale : Mem Extended affine Lie algebras and their root systems [texte imprimé] / Allison, Bruce N. ; Pianzola, Arturo ; Gao, Yun ; Berman, Stephen ; Azam, Saeid . - American Mathematical Society, 1997 . - 122 p. . - (Memoirs of the AMS, ISSN 0065-9266; 603) . ISBN : 978-0-8218-0594-7 Langues : Anglais (eng) Catégories : 17-XX Nonassociative rings and algebras:17-02 Research exposition (monographs, survey articles) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B65 Infinite-dimensional Lie (super)algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B67 Kac-Moody algebras (structure and representation theory) Mots-clés : nonisotropic roots  extended affine root systems  basic structure  irreducible quasi-simple lie algebras  root systems  extended affine lie algebras Index. décimale : Mem

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Formules de caractères pour les algèbres de Kac-Moody générales / Mathieu, Olivier

Public ISBD Titre : Formules de caractères pour les algèbres de Kac-Moody générales Type de document : texte imprimé Auteurs : Mathieu, Olivier Editeur : Paris : Société Mathématiques de France Année de publication : 1988 Collection : Astérisque, ISSN 03-1179 num. 159-160 Importance : 267 p. Langues : Français (fre) Catégories : 14-XX Algebraic geometry:14FXX (Co)homology theory :14F99 None of the above, but in this section 14-XX Algebraic geometry:14MXX Special varieties:14M15 Grassmannians, Schubert varieties, flag manifolds 17-XX Nonassociative rings and algebras:17-02 Research exposition (monographs, survey articles) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B10 Representations, algebraic theory (weights) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B65 Infinite-dimensional Lie (super)algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B67 Kac-Moody algebras (structure and representation theory) Mots-clés : cohomology of semi-ample line bundle  vanishing theorems  euler-poincare characteristic dimensions  weyl character formula  kac-moody algebra Index. décimale : AST Formules de caractères pour les algèbres de Kac-Moody générales [texte imprimé] / Mathieu, Olivier . - Société Mathématiques de France, 1988 . - 267 p.. - (Astérisque, ISSN 03-1179; 159-160) . Langues : Français (fre) Catégories : 14-XX Algebraic geometry:14FXX (Co)homology theory :14F99 None of the above, but in this section 14-XX Algebraic geometry:14MXX Special varieties:14M15 Grassmannians, Schubert varieties, flag manifolds 17-XX Nonassociative rings and algebras:17-02 Research exposition (monographs, survey articles) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B10 Representations, algebraic theory (weights) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B65 Infinite-dimensional Lie (super)algebras 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B67 Kac-Moody algebras (structure and representation theory) Mots-clés : cohomology of semi-ample line bundle  vanishing theorems  euler-poincare characteristic dimensions  weyl character formula  kac-moody algebra Index. décimale : AST

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Infinite dimensional lie algebras / Kac, Victor G.

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Lie algebras generated by finite-dimensional ideals / Stewart, Ian

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Lie groups, Lie algebras, cohomology, and some applications in physics / J. A. de Azcárraga

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The moduli space of N=1 superspheres with tubes and the sewing operation / Barron, Katrina

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Vertex operator algebras and the monster / Frenkel, Igor

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