Lie algebras, vertex operator algebras and their applications : [electronic resource] international conference in honor of James Lepowsky and Robert Wilson on their sixtieth birthdays, May 17-21, 2005, North Carolina State University, Raleigh, North Carolina / Yi-Zhi Huang, Kailash C. Misra, editors.

Contributor(s): Lepowsky, J. (James) | Wilson, Robert L, 1946- | Huang, Yi-Zhi, 1959- | Misra, Kailash C, 1954-Material type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 442.Publication details: Providence, R.I. : American Mathematical Society, c2007Description: 1 online resource (xxi, 474 p. : col. ill.)ISBN: 9780821881217 (online)Subject(s): Lie algebras -- Congresses | Vertex operator algebras -- Congresses | Representations of algebras -- Congresses | Lepowsky | WilsonAdditional physical formats: Lie algebras, vertex operator algebras and their applications :DDC classification: 512/.482 LOC classification: QA252.3 | .L555 2007Online resources: Contents | Contents
Contents:
A class of gradings of simple Lie algebras / Karin Baur and Nolan Wallach -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08517 Conjugacy results for the Lie algebra $\mathfrak {sl}_2$ over an algebra which is a UFD / Stephen Berman and Jun Morita -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08518 Kirillov-Reshetikhin modules associated to $G_2$ / Vyjayanthi Chari and Adriano Moura -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08519 Support spaces and Auslander-Reiten components / Rolf Farnsteiner -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08520 On the cohomology of modular Lie algebras / J�org Feldvoss -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08521 Eisenstein series on loop groups: Maass-Selberg relations. IV / Howard Garland -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08522 Generalized Littlewood-Richardson rule for exceptional Lie algebras $E_6$ and $F_4$ / Ayumu Hoshino -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08523 An introduction to $Q_n$ and its graph related quotients / David Nacin -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08524 Affine geometric crystal of type $G^{(1)}_2$ / Toshiki Nakashima -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08525 New constructions of Yang-Baxter systems / Florin F. Nichita and Deepak Parashar -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08526 Construction of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials / Vladimir Retakh, Shirlei Serconek and Robert Lee Wilson -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08527 Geometric and combinatorial realizations of crystals of enveloping algebras / Alistair Savage -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08528 Lie algebras of small dimension / H. Strade -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08529 Symmetric polynomials and $H_D$-quantum vertex algebras / I. I. Anguelova -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08530 $H_T$-vertex algebras / Maarten J. Bergvelt -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08531 On intertwining operators and recursions / Corina Calinescu -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08532 Representations of vertex operator algebras / Chongying Dong and Cuipo Jiang -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08533 On non-semisimple fusion rules and tensor categories / J�urgen Fuchs -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08534 The duality between vertex operator algebras and coalgebras, modules and comodules / Keith Hubbard -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08535 Some developments in vertex operator algebra theory, old and new / James Lepowsky -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08536 Twisted modules and quasi-modules for vertex operator algebras / Haisheng Li -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08537 Chiral algebras and partition functions / Geoffrey Mason and Michael P. Tuite -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08538 Modular forms and almost linear dependence of graded dimensions / Antun Milas -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08539 $(k,r)$-admissible configurations and intertwining operators / Mirko Primc -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08540 Hilbert schemes of points on the minimal resolution and soliton equations / Zhenbo Qin and Weiqiang Wang -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08541 Twining characters and Picard groups in rational conformal field theory / Christoph Schweigert, J�urgen Fuchs and Ingo Runkel -- http://www.ams.org/conm/442/ http://dx.doi.org/10.1090/conm/442/08542
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"During May 17-21, 2005, an international conference ... was held in North Carolina State University"--Pref.

Includes bibliographical references.

A class of gradings of simple Lie algebras / Karin Baur and Nolan Wallach -- Conjugacy results for the Lie algebra $\mathfrak {sl}_2$ over an algebra which is a UFD / Stephen Berman and Jun Morita -- Kirillov-Reshetikhin modules associated to $G_2$ / Vyjayanthi Chari and Adriano Moura -- Support spaces and Auslander-Reiten components / Rolf Farnsteiner -- On the cohomology of modular Lie algebras / J�org Feldvoss -- Eisenstein series on loop groups: Maass-Selberg relations. IV / Howard Garland -- Generalized Littlewood-Richardson rule for exceptional Lie algebras $E_6$ and $F_4$ / Ayumu Hoshino -- An introduction to $Q_n$ and its graph related quotients / David Nacin -- Affine geometric crystal of type $G^{(1)}_2$ / Toshiki Nakashima -- New constructions of Yang-Baxter systems / Florin F. Nichita and Deepak Parashar -- Construction of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials / Vladimir Retakh, Shirlei Serconek and Robert Lee Wilson -- Geometric and combinatorial realizations of crystals of enveloping algebras / Alistair Savage -- Lie algebras of small dimension / H. Strade -- Symmetric polynomials and $H_D$-quantum vertex algebras / I. I. Anguelova -- $H_T$-vertex algebras / Maarten J. Bergvelt -- On intertwining operators and recursions / Corina Calinescu -- Representations of vertex operator algebras / Chongying Dong and Cuipo Jiang -- On non-semisimple fusion rules and tensor categories / J�urgen Fuchs -- The duality between vertex operator algebras and coalgebras, modules and comodules / Keith Hubbard -- Some developments in vertex operator algebra theory, old and new / James Lepowsky -- Twisted modules and quasi-modules for vertex operator algebras / Haisheng Li -- Chiral algebras and partition functions / Geoffrey Mason and Michael P. Tuite -- Modular forms and almost linear dependence of graded dimensions / Antun Milas -- $(k,r)$-admissible configurations and intertwining operators / Mirko Primc -- Hilbert schemes of points on the minimal resolution and soliton equations / Zhenbo Qin and Weiqiang Wang -- Twining characters and Picard groups in rational conformal field theory / Christoph Schweigert, J�urgen Fuchs and Ingo Runkel --

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http://dx.doi.org/10.1090/conm/442/08534

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http://dx.doi.org/10.1090/conm/442/08535

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http://dx.doi.org/10.1090/conm/442/08536

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http://dx.doi.org/10.1090/conm/442/08537

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http://dx.doi.org/10.1090/conm/442/08538

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http://dx.doi.org/10.1090/conm/442/08539

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http://dx.doi.org/10.1090/conm/442/08540

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http://dx.doi.org/10.1090/conm/442/08541

http://www.ams.org/conm/442/

http://dx.doi.org/10.1090/conm/442/08542

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

Mode of access : World Wide Web

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