Vertex algebras associated to a class of Lie algebras of Krichever–Novikov type
Vertex algebras associated to a class of Lie algebras of Krichever–Novikov type
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DOI：
10.1016/j.geomphys.2016.07.016
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发表时间：
2016-12
影响因子：
1.5
通讯作者：
Yufeng Pei;Jiancai Sun
中科院分区：
文献类型：
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作者：
Yufeng Pei;Jiancai Sun
本文研究了一类无限维李代数，它推广了常数r项Krichever-Novikov型代数。我们将顶点C（（z））-代数及其零型模与这些李代数的表示联系起来。建立了李代数的限制模范畴与顶点C（（z））-代数的零型模范畴之间的等价关系。
In this paper, we study a class of infinite-dimensional Lie algebras generalizing the constant r-term Krichever–Novikov type algebras. We associate vertex C ((z))-algebras and their type zero modules to representations of these Lie algebras. An equivalence between the category of restricted modules for the Lie algebras and the category of type zero modules for the vertex C ((z))-algebras is established.