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Lie Algebras, Vertex Operator Algebras and Their Applications

About this Title

Yi-Zhi Huang and Kailash C. Misra, Editors

Publication: Contemporary Mathematics
Publication Year: 2007; Volume 442
ISBNs: 978-0-8218-3986-7 (print); 978-0-8218-8121-7 (online)
DOI: https://doi.org/10.1090/conm/442
MathSciNet review: 2372580

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Table of Contents

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Front/Back Matter

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Lie algebras and related topics

• Karin Baur and Nolan Wallach – A class of gradings of simple Lie algebras [MR 2372554]
• Stephen Berman and Jun Morita – Conjugacy results for the Lie algebra $\mathfrak {sl}_2$ over an algebra which is a UFD [MR 2372555]
• Vyjayanthi Chari and Adriano Moura – Kirillov-Reshetikhin modules associated to $G_2$ [MR 2372556]
• Rolf Farnsteiner – Support spaces and Auslander-Reiten components [MR 2372557]
• Jörg Feldvoss – On the cohomology of modular Lie algebras [MR 2372558]
• Howard Garland – Eisenstein series on loop groups: Maass-Selberg relations. IV [MR 2372559]
• Ayumu Hoshino – Generalized Littlewood-Richardson rule for exceptional Lie algebras $E_6$ and $F_4$ [MR 2372560]
• David Nacin – An introduction to $Q_n$ and its graph related quotients [MR 2372561]
• Toshiki Nakashima – Affine geometric crystal of type $G^{(1)}_2$ [MR 2372562]
• Florin F. Nichita and Deepak Parashar – New constructions of Yang-Baxter systems [MR 2372563]
• Vladimir Retakh, Shirlei Serconek and Robert Lee Wilson – Construction of some algebras associated to directed graphs and related to factorizations of noncommutative polynomials [MR 2372564]
• Alistair Savage – Geometric and combinatorial realizations of crystals of enveloping algebras [MR 2372565]
• H. Strade – Lie algebras of small dimension [MR 2372566]

Vertex (operator) algebras and related topics

• I. I. Anguelova – Symmetric polynomials and $H_D$-quantum vertex algebras [MR 2372567]
• Maarten J. Bergvelt – $H_T$-vertex algebras [MR 2372568]
• Corina Calinescu – On intertwining operators and recursions [MR 2372569]
• Chongying Dong and Cuipo Jiang – Representations of vertex operator algebras [MR 2372570]
• Jürgen Fuchs – On non-semisimple fusion rules and tensor categories [MR 2372571]
• Keith Hubbard – The duality between vertex operator algebras and coalgebras, modules and comodules [MR 2372572]
• James Lepowsky – Some developments in vertex operator algebra theory, old and new [MR 2372573]
• Haisheng Li – Twisted modules and quasi-modules for vertex operator algebras [MR 2372574]
• Geoffrey Mason and Michael P. Tuite – Chiral algebras and partition functions [MR 2372575]
• Antun Milas – Modular forms and almost linear dependence of graded dimensions [MR 2372576]
• Mirko Primc – $(k,r)$-admissible configurations and intertwining operators [MR 2372577]
• Zhenbo Qin and Weiqiang Wang – Hilbert schemes of points on the minimal resolution and soliton equations [MR 2372578]
• Christoph Schweigert, Jürgen Fuchs and Ingo Runkel – Twining characters and Picard groups in rational conformal field theory [MR 2372579]