Quantum dimensions and irreducible modules of some diagonal coset vertex operator algebras.

Quantum dimensions and irreducible modules of some diagonal coset vertex operator algebras.
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一些对角陪集顶点算子代数的量子维数和不可约模。

DOI:
10.1007/s11005-020-01264-2
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发表时间:
2020
期刊:
Lett. Math. Phys.
影响因子:
--
通讯作者:
Lin Xingjun
Lin Xingjun
中科院分区:
其他
文献类型:
--
作者:
Lin Xingjun

文献摘要

相似文献

本文在对角陪集顶点算子代数是有理数和-上有限的假设下,得到了的整体维数,并得到了作为-模的重数空间的量子维数。作为应用,给出了一个不可约模的分类方法.作为一个例子,我们证明了对角陪集顶点算子代数是有理的,-上有限的,并对的不可约模进行了分类。
In this paper, under the assumption that the diagonal coset vertex operator algebrais rational and-cofinite, the global dimension ofis obtained and the quantum dimensions of multiplicity spaces viewed as-modules are also obtained. As an application, a method to classify irreducible modules ofis provided. As an example, we prove that the diagonal coset vertex operator algebrais rational,-cofinite, and classify irreducible modules of.