»ã±¨±êÌâ (Title)£ºRegular representations and A_m(V)-A_n(V)-bimodules£¨ÕýÔò°µÊ¾ºÍA_m(V)-A_n(V)-Ë«Ä££©

»ã±¨ÈË (Speaker)£ºÀÉú½ÌÊÚ£¨ÃÀ¹úRutgers´óѧCamden·ÖУ£©

»ã±¨¹¦·ò (Time)£º2022Äê3ÔÂ26ÈÕ(ÖÜÁù) 10:00-11:00

»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒé

»áÒéID£º765-947-281

Ö÷°ì²¿ÃÅ£ºÀíѧԺÊýѧϵ

»ã±¨ÌáÒª£ºFor a vertex operator algebra V, the regular representation (module) D_(z)(W), associated to a V-module W and a nonzero complex number z, is a weak V\otimes V-module which was constructed canonically inside the full dual space W^*. In the past, regular representation had been used to give new proofs for Zhu's A(V)-theory, Frenkel-Zhu's fusion rule theorem, and A_n(V)-theory. In this current work, we establish a natural connection of regular representations with the Dong-Jiang theory of A_{m}(V)-A_{n}(V)-bimodules.