SIMPLE WHITTAKER MODULES OVER FREE BOSONIC ORBIFOLD VERTEX OPERATOR ALGEBRAS
SIMPLE WHITTAKER MODULES OVER FREE BOSONIC ORBIFOLD VERTEX OPERATOR ALGEBRAS
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自由玻色环折顶点算子代数上的简单惠特克模块
DOI：
10.1090/proc/14461
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发表时间：
2019
影响因子：
1
通讯作者：
Yu Nina
中科院分区：
文献类型：
--
作者：
Hartwig Jonas T;Yu Nina
We construct weak (ie nongraded) modules over the vertex operator algebra, which is the fixed-point subalgebra of the higher rank free bosonic (Heisenberg) vertex operator algebra with respect to theautomorphism. These weak modules are constructed from Whittaker modules for the higher rank Heisenberg algebra. We prove that the modules are simple as weak modules overand calculate their Whittaker type when regarded as modules for the Virasoro Lie algebra. Lastly, we show that any Whittaker module for the Virasoro Lie algebra occurs in this way. These results are a higher rank generalization of some results by Tanabe [Proc. Amer. Math. Soc. 145 (2017), no. 10, pp. 4127–4140]. References
