Recent developments in infinite-dimensional Lie algebras and conformal field theory : [electronic resource] proceedings of an international conference on infinite-dimensional Lie theory and conformal field theory, May 23-27, 2000, University of Virginia, Charlottesville, Virginia / Stephen Berman ... [et al.], editors.

Contributor(s): Berman, Stephen, 1944-Material type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 297.Publication details: Providence, R.I. : American Mathematical Society, c2002Description: 1 online resource (viii, 334 p.)ISBN: 9780821878873 (online)Subject(s): Infinite dimensional Lie algebras -- Congresses | Conformal invariants -- Congresses | Quantum field theory -- CongressesAdditional physical formats: Recent developments in infinite-dimensional Lie algebras and conformal field theory :DDC classification: 512/.55 LOC classification: QA252.3 | .R42 2002Online resources: Contents | Contents
Contents:
Vertex operator algebras and the representation theory of toroidal algebras / Stephen Berman, Yuly Billig and Jacek Szmigielski -- http://www.ams.org/conm/297/ http://dx.doi.org/10.1090/conm/297/05090 Symmetric functions and representations of quantum affine algebras / Vyjayanthi Chari and Michael Kleber -- http://www.ams.org/conm/297/ http://dx.doi.org/10.1090/conm/297/05091 Two realizations of toroidal $\mathfrak {sl}_2(\Bbb C)$ / Ben L. Cox -- http://www.ams.org/conm/297/ http://dx.doi.org/10.1090/conm/297/05092 Vertex Lie algebras, vertex Poisson algebras and vertex algebras / Chongying Dong, Haisheng Li and Geoffrey Mason -- http://www.ams.org/conm/297/ http://dx.doi.org/10.1090/conm/297/05093 Type A fusion rules from elementary group theory / Alex J. Feingold and Michael D. Weiner -- http://www.ams.org/conm/297/ http://dx.doi.org/10.1090/conm/297/05094 Lie algebra automorphisms in conformal field theory / J�urgen Fuchs and Christoph Schweigert -- http://www.ams.org/conm/297/ http://dx.doi.org/10.1090/conm/297/05095 On Lepowsky-Wilson's $\scr Z$-algebra / Yuji Hara, Michio Jimbo, Hitoshi Konno, Satoru Odake and Jun'ichi Shiraishi -- http://www.ams.org/conm/297/ http://dx.doi.org/10.1090/conm/297/05096 Scattering rules in soliton cellular automata associated with crystal bases / G. Hatayama, A. Kuniba, M. Okado, T. Takagi and Y. Yamada -- http://www.ams.org/conm/297/ http://dx.doi.org/10.1090/conm/297/05097 Algebra versus analysis in statistical mechanics and quantum field theory / Barry M. McCoy -- http://www.ams.org/conm/297/ http://dx.doi.org/10.1090/conm/297/05098 Weak modules and logarithmic intertwining operators for vertex operator algebras / Antun Milas -- http://www.ams.org/conm/297/ http://dx.doi.org/10.1090/conm/297/05099 Conjugate Bailey pairs: from configuration sums and fractional-level string functions to Bailey's lemma / Anne Schilling and S. Ole Warnaar -- http://www.ams.org/conm/297/ http://dx.doi.org/10.1090/conm/297/05100 Irreducibility of affine Hecke algebra modules induced from Specht modules / Monica Vazirani -- http://www.ams.org/conm/297/ http://dx.doi.org/10.1090/conm/297/05101 Algebraic structures behind Hilbert schemes and wreath products / Weiqiang Wang -- http://www.ams.org/conm/297/ http://dx.doi.org/10.1090/conm/297/05102 Some generalizations of genus zero two-dimensional conformal field theory / Wenhua Zhao -- http://www.ams.org/conm/297/ http://dx.doi.org/10.1090/conm/297/05103
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Includes bibliographical references.

Vertex operator algebras and the representation theory of toroidal algebras / Stephen Berman, Yuly Billig and Jacek Szmigielski -- Symmetric functions and representations of quantum affine algebras / Vyjayanthi Chari and Michael Kleber -- Two realizations of toroidal $\mathfrak {sl}_2(\Bbb C)$ / Ben L. Cox -- Vertex Lie algebras, vertex Poisson algebras and vertex algebras / Chongying Dong, Haisheng Li and Geoffrey Mason -- Type A fusion rules from elementary group theory / Alex J. Feingold and Michael D. Weiner -- Lie algebra automorphisms in conformal field theory / J�urgen Fuchs and Christoph Schweigert -- On Lepowsky-Wilson's $\scr Z$-algebra / Yuji Hara, Michio Jimbo, Hitoshi Konno, Satoru Odake and Jun'ichi Shiraishi -- Scattering rules in soliton cellular automata associated with crystal bases / G. Hatayama, A. Kuniba, M. Okado, T. Takagi and Y. Yamada -- Algebra versus analysis in statistical mechanics and quantum field theory / Barry M. McCoy -- Weak modules and logarithmic intertwining operators for vertex operator algebras / Antun Milas -- Conjugate Bailey pairs: from configuration sums and fractional-level string functions to Bailey's lemma / Anne Schilling and S. Ole Warnaar -- Irreducibility of affine Hecke algebra modules induced from Specht modules / Monica Vazirani -- Algebraic structures behind Hilbert schemes and wreath products / Weiqiang Wang -- Some generalizations of genus zero two-dimensional conformal field theory / Wenhua Zhao --

http://www.ams.org/conm/297/

http://dx.doi.org/10.1090/conm/297/05090

http://www.ams.org/conm/297/

http://dx.doi.org/10.1090/conm/297/05091

http://www.ams.org/conm/297/

http://dx.doi.org/10.1090/conm/297/05092

http://www.ams.org/conm/297/

http://dx.doi.org/10.1090/conm/297/05093

http://www.ams.org/conm/297/

http://dx.doi.org/10.1090/conm/297/05094

http://www.ams.org/conm/297/

http://dx.doi.org/10.1090/conm/297/05095

http://www.ams.org/conm/297/

http://dx.doi.org/10.1090/conm/297/05096

http://www.ams.org/conm/297/

http://dx.doi.org/10.1090/conm/297/05097

http://www.ams.org/conm/297/

http://dx.doi.org/10.1090/conm/297/05098

http://www.ams.org/conm/297/

http://dx.doi.org/10.1090/conm/297/05099

http://www.ams.org/conm/297/

http://dx.doi.org/10.1090/conm/297/05100

http://www.ams.org/conm/297/

http://dx.doi.org/10.1090/conm/297/05101

http://www.ams.org/conm/297/

http://dx.doi.org/10.1090/conm/297/05102

http://www.ams.org/conm/297/

http://dx.doi.org/10.1090/conm/297/05103

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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