We define an affine Jacquet functor and use it to describe the structure of induced affine Harish-Chandra modules at noncritical levels, extending the theorem of Kac and Kazhdan [10] on the structure of Verma modules in the Bernstein–Gelfand–Gelfand categories O for Kac–Moody algebras. This is combined with a vanishing result for certain extension groups to construct a block decomposition of th...

Hefeng Wang,1,3,* Lian-Ao Wu,2 Yu-xi Liu,1,4 and Franco Nori1,3 1Advanced Science Institute, The Institute of Physical and Chemical Research (RIKEN), Wako-shi, Saitama 351-0198, Japan 2Department of Theoretical Physics and History of Science, The Basque Country University (EHU/UPV), P. O. Box 644, E-48080 Bilbao, Spain and IKERBASQUE, Basque Foundation for Science, E-48011 Bilbao, Spain 3Depart...

Geolo~ical Fieldwork 1991, Paper IYYZ-I Telkwa coalfield geology is cliscussed in ! everal p;aper!, (Koo, 19x3; Palsgrove and B u t n, 1989) and is coverec. by regional geology maps of Maclrltyre ~f ul . ( I 289) and Tipper (1976). Coal-bearing rocks i n the coalfielc helong to Iht: Skeena Group of Lower Cretacexh age and 3 .e assigne j to the Red Rose Formation of Al'3i;m age and p' Nssibly ai...

Li-Jun Yin ([email protected]) Yu Zhang ([email protected]) Ping-Ping Lv ([email protected]) Wei-Hua He ([email protected]) Yan-Ting Wu ([email protected]) Ai-Xia Liu ([email protected]) Guo-Lian Ding ([email protected]) Fan Qu ([email protected]) Chen-Ming Xu ([email protected]) Min-Yue Dong ([email protected]) Xiao-Ming Zhu ([email protected]) He-Feng ...

Gian F. Giudice,* Tao Han, Kai Wang, and Lian-Tao Wang4,x CERN, Theory Division, CH-1211 Geneva 23, Switzerland Department of Physics, University of Wisconsin, Madison, Wisconsin 53706, USA Institute for the Physics and Mathematics of the Universe, University of Tokyo, Kashiwa, Chiba 277-8568, Japan Department of Physics, Princeton University, Princeton, New Jersey 08540, USA (Received 7 May 20...

We give the operadic formulation of (weak, strong) topological vertex algebras, which are variants of topological vertex operator algebras studied recently by Lian and Zuckerman. As an application, we obtain a conceptual and geometric construction of the Batalin-Vilkovisky algebraic structure (or the Gerstenhaber algebra structure) on the cohomology of a topological vertex algebra (or of a weak...