秩为1的偶格顶点算子代数上的半共形向量簇

doi:10.13371/j.cnki.chin.q.j.m.2025.01.004

数学季刊 ›› 2025, Vol. 40 ›› Issue (1): 36-48.doi: 10.13371/j.cnki.chin.q.j.m.2025.01.004

秩为1的偶格顶点算子代数上的半共形向量簇

School of Mathematics and Statistics, Henan University, Kaifeng 475004, China

收稿日期:2024-09-17 出版日期:2025-03-30 发布日期:2025-03-30
通讯作者: 楚彦军 E-mail:chuyj@henu.edu.cn
作者简介:CHU Yan-jun (1979-), male, native of Luohe, Henan, associated professor of Henan university, engages in Lie algebra and representation theory; GAO Yi-bo (2001-), male, native of Xuchang, Henan, master student of Henan University
基金资助:
Supported by National Natural Science Foundation of China (Grant No. 12475002).

The Varieties of Semi-Conformal Vectors of Rank-One Even Lattice Vertex Operator Algebras

School of Mathematics and Statistics, Henan University, Kaifeng 475004, China

Received:2024-09-17 Online:2025-03-30 Published:2025-03-30
Contact: CHU Yan-jun E-mail:chuyj@henu.edu.cn
About author:CHU Yan-jun (1979-), male, native of Luohe, Henan, associated professor of Henan university, engages in Lie algebra and representation theory; GAO Yi-bo (2001-), male, native of Xuchang, Henan, master student of Henan University
Supported by:
Supported by National Natural Science Foundation of China (Grant No. 12475002).

摘要/Abstract

摘要： In this paper, we shall study structures of even lattice vertex operator algebras by using the geometry of the varieties of their semi-conformal vectors. We first give the varieties of semi-conformal vectors of a family of vertex operator algebras……

关键词: Vertex operator algebra, Semi-conformal vector, Affine variety

Abstract: In this paper, we shall study structures of even lattice vertex operator algebras by using the geometry of the varieties of their semi-conformal vectors. We first give the varieties of semi-conformal vectors of a family of vertex operator algebras……

Key words: Vertex operator algebra, Semi-conformal vector, Affine variety

中图分类号:

O152.5

楚彦军, 高艺博. 秩为1的偶格顶点算子代数上的半共形向量簇[J]. 数学季刊, 2025, 40(1): 36-48.

CHU Yan-jun, GAO Yi-bo. The Varieties of Semi-Conformal Vectors of Rank-One Even Lattice Vertex Operator Algebras[J]. Chinese Quarterly Journal of Mathematics, 2025, 40(1): 36-48.

秩为1的偶格顶点算子代数上的半共形向量簇

The Varieties of Semi-Conformal Vectors of Rank-One Even Lattice Vertex Operator Algebras

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