Recent developments in quantum affine algebras and related topics : representations of affine and quantum affine algebras and their applications, North Carolina State University, May 2124, 1998

Contributor(s): Jing Naihuan | Misra Kailash CMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 248Publication details: Providence, R.I. : American Mathematical Society, c1999Description: 1 online resource (ix, 469 p.)ISBN: 9780821878385 (online)Subject(s): Affine algebraic groups | Representations of algebras | Representations of Lie algebras | Representations of quantum groupsOnline resources: Click here to access online
Contents:
The polynomial behavior of weight multiplicities for classical simple Lie algebras and classical affine KacMoody algebras ; A note on embeddings of some Lie algebras defined by matrices ; Principal realization for the extended affine Lie algebra of type lgebra of lgebras ; Melzer's identities revisited ; Automorphisms of lattice type vertex operator algebras and variations, a survey ; Remarks on fermionic formula ; raded associative algebras and their raded modules ; An Georgia Benkart SeokJin Kang Hyeonmi Lee and DongUy Shin ; Stephen Berman and Shaobin Tan ; Stephen Berman and Jacek Szmigielski ; Vyjayanthi Chari and Nanhua Xi ; Jintai Ding and Boris Feigin ; L Dolan ; Chongying Dong and Kiyokazu Nagatomo ; P Di Francesco ; Edward Frenkel and Nicolai Reshetikhin ; Omar Foda and Trevor A Welsh ; Robert L Griess Jr ; G Hatayama A Kuniba M Okado T Takagi and Y Yamada ; Naihuan Jing and Kailash C Misra ; Shrawan Kumar ; J Lepowsky ; Haisheng Li and Shuqin Wang ; Duncan J Melville ; Tetsuji Miwa and Yoshihiro Takeyama ; E Mukhin and A Varchenko ; Toshiki Nakashima ; Yan Soibelman ; Weiqiang Wang
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Includes bibliographical references.

The polynomial behavior of weight multiplicities for classical simple Lie algebras and classical affine KacMoody algebras ; A note on embeddings of some Lie algebras defined by matrices ; Principal realization for the extended affine Lie algebra of type rm sl_2 with coordinates in a simple quantum torus with two generators ; Monomial bases of quantized enveloping algebras ; Quantized lgebra of mathfrak sl(2,1) a construction from the quantization of screening operators ; Affine algebras and nonperturbative symmetries in superstring theory ; Automorphism groups and twisted modules for lattice vertex operator algebras ; Truncated meanders ; The haracters of representations of quantum affine algebras and deformations of scr W lgebras ; Melzer's identities revisited ; Automorphisms of lattice type vertex operator algebras and variations, a survey ; Remarks on fermionic formula ; ertex operators for quantum affine algebras ; Homology of certain truncated Lie algebras ; Vertex operator algebras and the zeta function ; On bf Z raded associative algebras and their bf N raded modules ; An orm technique of quantum deformations ; Determinant formula for the solutions of the quantum KnizhnikZamolodchikov equation with vert q\vert =1 ; Functorial properties of the hypergeometric map ; Polyhedral realizations of crystal bases and braidtype isomorphisms ; Meromorphic tensor categories, quantum affine and chiral algebras. I ; Dual pairs and infinite dimensional Lie algebras Georgia Benkart SeokJin Kang Hyeonmi Lee and DongUy Shin ; Stephen Berman and Shaobin Tan ; Stephen Berman and Jacek Szmigielski ; Vyjayanthi Chari and Nanhua Xi ; Jintai Ding and Boris Feigin ; L Dolan ; Chongying Dong and Kiyokazu Nagatomo ; P Di Francesco ; Edward Frenkel and Nicolai Reshetikhin ; Omar Foda and Trevor A Welsh ; Robert L Griess Jr ; G Hatayama A Kuniba M Okado T Takagi and Y Yamada ; Naihuan Jing and Kailash C Misra ; Shrawan Kumar ; J Lepowsky ; Haisheng Li and Shuqin Wang ; Duncan J Melville ; Tetsuji Miwa and Yoshihiro Takeyama ; E Mukhin and A Varchenko ; Toshiki Nakashima ; Yan Soibelman ; Weiqiang Wang

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