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Recent developments in quantum affine algebras and related topics. Proceedings of the international conference on representations of affine and quantum affine algebras and their applications, North Carolina State University, Raleigh, NC, USA, May 21–24, 1998. (English) Zbl 0932.00043
Contemporary Mathematics. 248. Providence, RI: American Mathematical Society (AMS). ix, 469 p. (1999).
The articles of this volume will be reviewed individually.
Indexed articles:
Benkart, Georgia; Kang, Seok-Jin; Lee, Hyeonmi; Shin, Dong-Uy, The polynomial behavior of weight multiplicities for classical simple Lie algebras and classical affine Kac-Moody algebras, 1-29 [Zbl 0948.17011]
Berman, Stephen; Tan, Shaobin, A note on embeddings of some Lie algebras defined by matrices, 31-38 [Zbl 0957.17030]
Berman, Stephen; Szmigielski, Jacek, Principal realization for the extended affine Lie algebra of type $$\operatorname {sl}_2$$ with coordinates in a simple quantum torus with two generators, 39-67 [Zbl 1031.17014]
Chari, Vyjayanthi; Xi, Nanhua, Monomial bases of quantized enveloping algebras., 69-81 [Zbl 1054.17503]
Ding, Jintai; Feigin, Boris, Quantized $$W$$-algebra of $$sl(2,1)$$: A construction from the quantization of screening operators, 83-108 [Zbl 0952.17011]
Dolan, L., Affine algebras and non-perturbative symmetries in superstring theory, 109-116 [Zbl 0970.81058]
Dong, Chongying; Nagatomo, Kiyokazu, Automorphism groups and twisted modules for lattice vertex operator algebras, 117-133 [Zbl 0953.17014]
Di Fancesco, P., Truncated meanders, 135-162 [Zbl 0943.05007]
Frenkel, Edward; Reshetikhin, Nicolai, The $$q$$-characters of representations of quantum affine algebras and deformations of $$W$$-algebras, 163-205 [Zbl 0973.17015]
Foda, Omar; Welsh, Trevor A., Melzer’s identities revisited., 207-234 [Zbl 1155.17308]
Griess, Robert L. jun., Automorphisms of lattice type vertex operator algebras and variations, a survey, 235-241 [Zbl 0953.17015]
Hatayama, G.; Kuniba, A.; Okado, M.; Takagi, T.; Yamada, Y., Remarks on fermionic formula, 243-291 [Zbl 1032.81015]
Jing, Naihuan; Misra, Kailash C., $$q$$-vertex operators for quantum affine algebras, 293-307 [Zbl 0953.17009]
Kumar, Shrawan, Homology of certain truncated Lie algebras, 309-325 [Zbl 0969.17011]
Lepowsky, J., Vertex operator algebras and the zeta function., 327-340 [Zbl 1036.17022]
Li, Haisheng; Wang, Shuqin, On $$\mathbb{Z}$$-graded associative algebras and their $$\mathbb{N}$$-graded modules, 341-357 [Zbl 0958.16044]
Melville, Duncan J., An $$\mathbb{A}$$-form technique of quantum deformations, 359-375 [Zbl 0949.17005]
Miwa, Tetsuji; Takeyama, Yoshihiro, Determinant formula for the solution of the quantum Knizhnik-Zamolodchikov equation with $$|q|=1$$, 377-393 [Zbl 0953.81037]
Mukhin, E.; Varchenko, A., Functorial properties of the hypergeometric map, 395-418 [Zbl 0974.17015]
Nakashima, Toshiki, Polyhedral realizations of crystal bases and braid-type isomorphisms, 419-435 [Zbl 0951.17007]
Soibelman, Yan, Meromorphic tensor categories, quantum affine and chiral algebras. I, 437-451 [Zbl 0999.17020]
Wang, Weiqiang, Dual pairs and infinite dimensional Lie algebras, 453-469 [Zbl 0956.17013]

##### MSC:
 00B25 Proceedings of conferences of miscellaneous specific interest 17-06 Proceedings, conferences, collections, etc. pertaining to nonassociative rings and algebras 17B37 Quantum groups (quantized enveloping algebras) and related deformations 17B67 Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras 81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
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