viii CONTENTS
§3. Quantum groups and category theory
2-categories and Zamolodchikov tetrahedra equations
M. M. KAPRANOV AND V. A. VOEVODSKY 177
§4. Vertex operator algebras, the moonshine module and related topics
Abelian intertwining algebras—A generalization of vertex operator
algebras
CHONGYING DON G AND JAMES LEPOWSKY 261
Discrete series of the Virasoro algebra and the moonshine module
CHONGYING DONG , GEOFFREY MASON, AND YONGCHANG
Z H U
295
Constructions of vertex operator algebras
ALEX J. FEINGOLD 317
Binary trees and finite-dimensional Lie algebras
YI-ZH I HUAN G 337
§5. Infinite dimensional groups and Lie algebras
Holomorphic line bundles over Hilbert flag varieties
A. G. HELMINCK AND G. F. HELMINCK 349
New classes of infinite-dimensional Lie groups
LOKI NATARAJAN, ENRIQUETA RODRfGUEZ-CARRINGTON,
AND JOSEPH A. WOL F 377
On forms of Kac-Moody algebras
G U Y ROUSSEAU 393
Semi-infinite cohomology of Lie algebras
ALEXANDER A. VORONOV
401
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