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

CHU Yan-jun, GAO Yi-bo

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

Chinese Quarterly Journal of Mathematics >

2025 , Vol. 40 >Issue 1: 36 - 48

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2025.01.004

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

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

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

CHU Yan-jun (1979-), male, native of Luohe, Henan, associated professor of Henan university, engages in Lie algebra and representation theory;

Received date: 2024-09-17

Online published: 2025-03-30

Supported by

Supported by National Natural Science Foundation of China (Grant No. 12475002).

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

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