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SEMINARS
Modules over the algebra $Vir(a, b)$
时间  Datetime
2017-04-21 10:30 — 11:30 
地点  Venue
Middle Lecture Room
报告人  Speaker
苏育才
单位  Affiliation
上海同济大学
邀请人  Host
蒋启芬
报告摘要  Abstract

 For any two complex numbers $a$ and $b$, $Vir(a,b)$ is a central extension
of $W(a,b)$, which is universal in the case $(a,b)\ne(0,1)$, where $W(a,b)$ is the 
Lie algebra with basis $\{L_n, W_n | n \in {\mathbb Z}\}$ and relations 
$[L_m, L_n]=(n−m)L_{m+n}, [L_m, W_n]=(a+n+bm)W_{m+n}, [W_m,W_n]=0.$
In this talk, we present a class of non-weight modules over the algebra $Vir(a, b)$
which are free $U({\mathbb C}L_0\plus{\mathbb C}W_0)$-modules of rank $1$. It is
proved that such modules can only exist for $a\in Z$.