Chinese Quarterly Journal of Mathematics ›› 2025, Vol. 40 ›› Issue (1): 36-48.doi: 10.13371/j.cnki.chin.q.j.m.2025.01.004

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

  

  1. 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).

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

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