# Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory

### About this Title

**Stephen Berman**, **Paul Fendley**, **Yi-Zhi Huang**, **Kailash Misra** and **Brian Parshall**, Editors

Publication: Contemporary Mathematics

Publication Year
2002: Volume 297

ISBNs: 978-0-8218-2716-1 (print); 978-0-8218-7887-3 (online)

DOI: http://dx.doi.org/10.1090/conm/297

MathSciNet review: 1919809

### Table of Contents

**Front/Back Matter**

**Articles**

- Stephen Berman, Yuly Billig and Jacek Szmigielski – Vertex operator algebras and the representation theory of toroidal algebras [MR 1919810]
- Vyjayanthi Chari and Michael Kleber – Symmetric functions and representations of quantum affine algebras [MR 1919811]
- Ben L. Cox – Two realizations of toroidal $\mathfrak {sl}_2(\Bbb C)$ [MR 1919812]
- Chongying Dong, Haisheng Li and Geoffrey Mason – Vertex Lie algebras, vertex Poisson algebras and vertex algebras [MR 1919813]
- Alex J. Feingold and Michael D. Weiner – Type A fusion rules from elementary group theory [MR 1919814]
- Jürgen Fuchs and Christoph Schweigert – Lie algebra automorphisms in conformal field theory [MR 1919815]
- Yuji Hara, Michio Jimbo, Hitoshi Konno, Satoru Odake and Jun’ichi Shiraishi – On Lepowsky-Wilson’s $\scr Z$-algebra [MR 1919816]
- G. Hatayama, A. Kuniba, M. Okado, T. Takagi and Y. Yamada – Scattering rules in soliton cellular automata associated with crystal bases [MR 1919817]
- Barry M. McCoy – Algebra versus analysis in statistical mechanics and quantum field theory [MR 1919818]
- Antun Milas – Weak modules and logarithmic intertwining operators for vertex operator algebras [MR 1919819]
- Anne Schilling and S. Ole Warnaar – Conjugate Bailey pairs: from configuration sums and fractional-level string functions to Bailey’s lemma [MR 1919820]
- Monica Vazirani – Irreducibility of affine Hecke algebra modules induced from Specht modules [MR 1919821]
- Weiqiang Wang – Algebraic structures behind Hilbert schemes and wreath products [MR 1919822]
- Wenhua Zhao – Some generalizations of genus zero two-dimensional conformal field theory [MR 1919823]