学术报告——Some irreducible modules over the W-algebra W(2,2) and the Virasoro algebra

发布时间:2017-08-24浏览次数:20

报告人:陈洪佳,中国科学技术大学教授,中组部青年千人
题目:Some irreducible modules over the W-algebra W(2,2) and the Virasoro algebra

报告时间:2017年8月28日 下午2点

报告地点:理学楼212

摘要:In this talk, we will first discuss the construction and classification of some non-weight modules for the W algebra W(2,2). We determine the modules, whose restriction to the universal enveloping algebra of the degree-0 part (modulo center) are free of rank 1. We also determine the simplicity of these modules, which provide new simple modules for W(2,2). Moreover, we consider the restriction of these modules to the Virasoro subalgebra of W(2,2), which are a special type of modules on which the non-central Cartan part acts freely of infinite rank. We discuss the sufficient and necessary conditions for them to be irreducible. When they are reducible, we also determine all their maximal submodules and corresponding simple quotients explicitly. This is a joint work with Xiangqian Guo.

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