Contemporary Mathematics 2002; 334 pp; softcover Volume: 297 ISBN10: 0821827162 ISBN13: 9780821827161 List Price: US$96 Member Price: US$76.80 Order Code: CONM/297
 Because of its many applications to mathematics and mathematical physics, the representation theory of infinitedimensional Lie and quantized enveloping algebras comprises an important area of current research. This volume includes articles from the proceedings of an international conference, "InfiniteDimensional Lie Theory and Conformal Field Theory", held at the University of Virginia. Many of the contributors to the volume are prominent researchers in the field. This conference provided an opportunity for mathematicians and physicists to interact in an active research area of mutual interest. The talks focused on recent developments in the representation theory of affine, quantum affine, and extended affine Lie algebras and Lie superalgebras. They also highlighted applications to conformal field theory, integrable and disordered systems. Some of the articles are expository and accessible to a broad readership of mathematicians and physicists interested in this area; others are research articles that are appropriate for more advanced readers. Readership Graduate students and research mathematicians interested in infinitedimensional Lie algebras and its applications in mathematical physics. Table of Contents  S. Berman, Y. Billig, and J. Szmigielski  Vertex operator algebras and the representation theory of toroidal algebras
 V. Chari and M. Kleber  Symmetric functions and representations of quantum affine algebras
 B. L. Cox  Two realizations of toroidal \(\mathfrak{sl}_2(\mathbb C)\)
 C. Dong, H. Li, and G. Mason  Vertex Lie algebras, vertex Poisson algebras and vertex algebras
 A. J. Feingold and M. D. Weiner  Type A fusion rules from elementary group theory
 J. Fuchs and C. Schweigert  Lie algebra automorphisms in conformal field theory
 Y. Hara, M. Jimbo, H. Konno, S. Odake, and J. Shiraishi  On LepowskyWilson's \(\mathcal{Z}\)algebra
 G. Hatayama, A. Kuniba, M. Okado, T. Takagi, and Y. Yamada  Scattering rules in soliton cellular automata associated with crystal bases
 B. M. McCoy  Algebra versus analysis in statistical mechanics and quantum field theory
 A. Milas  Weak modules and logarithmic intertwining operators for vertex operator algebras
 A. Schilling and S. O. Warnaar  Conjugate Bailey pairs
 M. Vazirani  Irreducibility of affine Hecke algebra modules induced from Specht modules
 W. Wang  Algebraic structures behind Hilbert schemes and wreath products
 W. Zhao  Some generalizations of genus zero twodimensional conformal field theory
