Representations of a fixed-point subalgebra of a class of lattice vertex operator algebras by an automorphism of order three

Tanabe K; Yamada H

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Representations of a fixed-point subalgebra of a class of lattice vertex operator algebras by an automorphism of order three

机译：用三阶自同构表示一类晶格顶点算子代数的不动点子代数

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摘要

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 C-2-cofiniteness of I lie subalgebra are established. our result contains the case of the vertex operator algebra associated with the Leech lattice.

机译：这是我们最近工作的摘要。我们通过阶数为3的自同构来研究某一类晶格顶点算子代数的不动点子代数，这是基础晶格的无定点等距的提升。建立了不可约模块的分类，以及I lie子代数的合理性和C-2-定性。我们的结果包含与Leech格关联的顶点算子代数的情况。

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《European journal of combinatorics》 |2009年第3期|共11页
作者
Tanabe K; Yamada H;
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正文语种 eng
中图分类组合数学（组合学）;
关键词
RANK-ONE LATTICE; MODULAR-INVARIANCE; FUSION RULES; ORBIFOLD; V-L(+); C-2-COFINITENESS; MOONSHINE;

机译：秩一格;模量不变;融合规则;奥比夫德;V-L（+）;C-2-余宽;月光;

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专利

1. Representations of a fixed-point subalgebra of a class of lattice vertex operator algebras by an automorphism of order three [J] . Tanabe K, Yamada H European journal of combinatorics . 2009,第3期

机译：用三阶自同构表示一类晶格顶点算子代数的不动点子代数
2. The fixed point subalgebra of a lattice vertex operator algebra by an automorphism of order three [J] . Tanabe K, Yamada H Pacific journal of mathematics . 2007,第2期

机译：三阶自同构的格顶点算子的不动点子代数。
3. The Intermediate Vertex Subalgebras of the Lattice Vertex Operator Algebras [J] . KAZUYA KAWASETSU Letters in Mathematical Physics: A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics . 2014,第2期

机译：晶格顶点算子代数的中间顶点子代数
4. Vertex operator representations for a class of BC_V-graded Lie algebras [C] . Fulin Chen, Shaobin Tan International Congress of Chinese Mathematicians . 2012

机译：顶点操作员表示一类BC_V分级的谎言代数
5. Intertwining vertex operators and representations of affine Lie algebras. [D] . Calinescu, Nicoleta Corina. 2006

机译：纠缠的顶点算子和仿射李代数的表示。
6. From the representation theory of vertex operator algebras to modular tensor categories in conformal field theory [O] . James Lepowsky 2005

机译：从顶点算子代数的表示理论到共形场论中的模量张量类别
7. Representations of a fixed-point subalgebra of a class of lattice vertex operator algebras by an automorphism of order three [O] . Tanabe Kenichiro, Yamada Hiromichi 2009

机译：用三阶自同构表示一类晶格顶点算子代数的定点子代数

Representations of a fixed-point subalgebra of a class of lattice vertex operator algebras by an automorphism of order three

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