Automorphisms and Verma modules for generalized Schrodinger-Virasoro algebras

Automorphisms and Verma modules for generalized Schrodinger-Virasoro algebras
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广义薛定谔-维拉索罗代数的自同构和 Verma 模

DOI:
10.1016/j.jalgebra.2009.05.005
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发表时间:
2008-04
期刊:
影响因子:
0.9
通讯作者:
Zhang, Xiufu
Zhang, Xiufu
中科院分区:
数学3区
文献类型:
--
作者:
Tan, Shaobin;Zhang, Xiufu

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设F是特征为0的域,G是F的可加子群,α∈F满足α <$G,2α∈G.定义了一类无限维李代数,称为广义Schrödinger-Virasoro代数,记为gsv[G,α].本文完全确定了gsv[G,α]的Verma模的自同构群和不可约性.
Let F be a field of characteristic 0, G an additive subgroup of F, α∈F satisfying α∉G and 2α∈G. We define a class of infinite-dimensional Lie algebras which are called generalized Schrödinger–Virasoro algebras and denoted by gsv[G,α]. In this paper the automorphism group and irreducibility of Verma modules for gsv[G,α] are completely determined.
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