Includes bibliographical references.

The polynomial behavior of weight multiplicities for classical simple Lie algebras and classical affine Kac-Moody algebras / Georgia Benkart, Seok-Jin Kang, Hyeonmi Lee and Dong-Uy Shin -- A note on embeddings of some Lie algebras defined by matrices / Stephen Berman and Shaobin Tan -- Principal realization for the extended affine Lie algebra of type ${\rm sl}_2$ with coordinates in a simple quantum torus with two generators / Stephen Berman and Jacek Szmigielski -- Monomial bases of quantized enveloping algebras / Vyjayanthi Chari and Nanhua Xi -- Quantized $W$-algebra of $\mathfrak {sl}(2,1)$: a construction from the quantization of screening operators / Jintai Ding and Boris Feigin -- Affine algebras and non-perturbative symmetries in superstring theory / L. Dolan -- Automorphism groups and twisted modules for lattice vertex operator algebras / Chongying Dong and Kiyokazu Nagatomo -- Truncated meanders / P. Di Francesco -- The $q$-characters of representations of quantum affine algebras and deformations of $\scr W$-algebras / Edward Frenkel and Nicolai Reshetikhin -- Melzer's identities revisited / Omar Foda and Trevor A. Welsh -- Automorphisms of lattice type vertex operator algebras and variations, a survey / Robert L. Griess, Jr. -- Remarks on fermionic formula / G. Hatayama, A. Kuniba, M. Okado, T. Takagi and Y. Yamada -- $q$-vertex operators for quantum affine algebras / Naihuan Jing and Kailash C. Misra -- Homology of certain truncated Lie algebras / Shrawan Kumar -- Vertex operator algebras and the zeta function / J. Lepowsky -- On ${\bf Z}$-graded associative algebras and their ${\bf N}$-graded modules / Haisheng Li and Shuqin Wang -- An $A$-form technique of quantum deformations / Duncan J. Melville -- Determinant formula for the solutions of the quantum Knizhnik-Zamolodchikov equation with $\vert q\vert =1$ / Tetsuji Miwa and Yoshihiro Takeyama -- Functorial properties of the hypergeometric map / E. Mukhin and A. Varchenko -- Polyhedral realizations of crystal bases and braid-type isomorphisms / Toshiki Nakashima -- Meromorphic tensor categories, quantum affine and chiral algebras. I / Yan Soibelman -- Dual pairs and infinite dimensional Lie algebras / Weiqiang Wang --

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

Mode of access : World Wide Web

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