Lie Algebras, Vertex Operator Algebras, and Related Topics

Häftad, Engelska, 2017

AvKatrina Barron,Elizabeth Jurisich,Antun Milas,Kailash Misra

1 879 kr

Slutsåld

This volume contains the proceedings of the conference on Lie Algebras, Vertex Operator Algebras, and Related Topics, celebrating the 70th birthday of James Lepowsky and Robert Wilson, held from August 14-18, 2015, at the University of Notre Dame, Notre Dame, Indiana.Since their seminal work in the 1970s, Lepowsky and Wilson, their collaborators, their students, and those inspired by their work, have developed an amazing body of work intertwining the fields of Lie algebras, vertex algebras, number theory, theoretical physics, quantum groups, the representation theory of finite simple groups, and more. The papers presented here include recent results and descriptions of ongoing research initiatives representing the broad influence and deep connections brought about by the work of Lepowsky and Wilson and include a contribution by Yi-Zhi Huang summarizing some major open problems in these areas, in particular as they pertain to two-dimensional conformal field theory.

Produktinformation

Utgivningsdatum2017-09-30
Mått178 x 254 x undefined mm
Vikt400 g
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor274
FörlagAmerican Mathematical Society
ISBN9781470426668

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Algebra inom Naturvetenskap och teknik

D. Addabbo and M. Bergvelt, Generalizations of $Q$-systems and orthogonal polynomials from representation theoryD. Adamovic and A. Milas, Some applications and constructions of intertwining operators in logarithmic conformal field theoryL. Bao and L. Carbone, Kac-Moody groups and automorphic forms in low dimensional supergravity theoriesK. Bringmann, K. Mahlburg, and A. Milas, The Lusztig-Macdonald-Wall polynomial conjectures and $q$-difference equationsL. Carbone and F. Wagner, Uniqueness of representation-theoretic hyperbolic Kac-Moody groups over $\mathbb{Z}$J. Fuchs and C. Schweigert, Coends in conformal field theoryH. Li, Remarks on $\phi$-coordinated modules for quantum vertex algebrasA. Henriques, The classification of chiral WZW models by $H^4_+(BG,\mathbb{Z})$Y.-Z. Huang, Some open problems in mathematical two-dimensional conformal field theoryN. Jing, C. R. Mangum, and K. C. Misra, On realization of some twisted toroidal Lie algebrasJ. Lepowsky and J. Yang, Twisted generating functions incorporating singular vectors in Verma modules and their localizations, IY. Arike, K. Nagatomo, and Y. Sakai, Characterization of the simple Virasoro vertex operator algebras with 2 and 3-dimensional space of charactersD. Radnell, E. Schippers, and W. Staubach, Quasiconformal Teichmuller theory as an analytical foundation for two-dimensional conformal field theoryA. M. Semikhatov, Centralizing the centralizersN. R. Wallach, On Neeman's gradient flows