Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three

Kenichiro Tanabe; Hiromichi Yamada

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Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three

机译：三阶自同构的格顶点算子代数的不动点子代数

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摘要

We study the 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. We classify the irreducible modules for the subalgebra. Moreover, the rationality and the C_2-cofiniteness of the subalgebra are established. Our result contains the case of the vertex operator algebra associated with the Leech lattice.

机译：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，这是底层晶格的无定点等距的提升。我们对子代数的不可约模块进行分类。此外，建立了子代数的合理性和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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来源
《Journal of the Mathematical Society of Japan》 |2013年第4期|1169-1242|共74页
作者
Kenichiro Tanabe; Hiromichi Yamada;
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作者单位

Department of Mathematics Hokkaido University Sapporo Hokkaido 060-0810, Japan;

Department of Mathematics Hitotsubashi University Kunitachi Tokyo 186-8601, Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
vertex operator algebra; orbifold; Leech lattice;

机译：顶点算子代数;圆形水ch格子;

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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. SIMPLE WEAK MODULES FOR THE FIXED POINT SUBALGEBRA OF THE HEISENBERG VERTEX OPERATOR ALGEBRA OF RANK 1 BY AN AUTOMORPHISM OF ORDER 2 AND WHITTAKER VECTORS [J] . Tanabe Kenichiro Proceedings of the American Mathematical Society . 2017,第10期

机译：HEISENBERG顶点算子代数的固定点子晶句的简单弱模块由订单2和WHittaker矢量的自同一级别
4. CONFORMAL FIELD THEORY, VERTEX OPERATOR ALGEBRAS AND OPERATOR ALGEBRAS [C] . Yasuyuki Kawahigashi International Congress of Mathematicians . 2018

机译：保形场理论，顶点算子代数和运营商代数
5. Fusion Rules for the Lattice Vertex Operator Algebra VL [D] . Nguyen, Danquynh Thien 2018

机译：晶格顶点算子代数VL的融合规则
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. Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three [O] . Tanabe, Kenichiro, Yamada, Hiromichi 2013

机译：格子顶点算子代数的不动点子代数三阶自同构

Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three

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