Representations of a fixed pointsubalgebra of a class of lattice vertexoperator algebras by an automorphism oforder three
Representations of a fixed pointsubalgebra of a class of lattice vertexoperator algebras by an automorphism oforder three
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一类格点算子代数的不动点子代数的三阶自同构表示
DOI：
10.1016/j.ejc.2008.07.002
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Kenichiro Tanabe and Hiromichi Yamada
中科院分区：
文献类型：
--
作者：
樫田氏;Kenichiro Tanabe;Kenichiro Tanabe;Kenichiro Tanabe and Hiromichi Yamada
这是我们最近工作的总结。利用3阶自同构研究了一类格顶点算子代数的不动点子代数，该不动点子代数是下格的无不动点等距的一个提升。建立了不可约模的分类，以及子代数的合理性和c2 -协性。我们的结果包含了与Leech格相关的顶点算子代数的情况。
This is a summary of our recent work. We study a fixed-point subalgebra of a certain class of lattice vertex operator algebras by an automorphism of order 3, which is a lift of a fixed-point-free isometry of the underlying lattice. The classification of the irreducible modules, together with the rationality and the C2-cofiniteness of the subalgebra are established. Our result contains the case of the vertex operator algebra associated with the Leech lattice.