数学季刊 ›› 2016, Vol. 31 ›› Issue (4): 331-339.doi: 10.13371/j.cnki.chin.q.j.m.2016.04.001

• •    下一篇

Hom-型的q-形变Virasoro代数的Kac行列式公式

  

  1. 1. School of Mathematics and Statistics,Henan University2. Institute of Contemporary Mathematics,Henan University
  • 收稿日期:2016-01-28 出版日期:2016-12-30 发布日期:2020-10-30
  • 作者简介:CHENG Yong-sheng(corresponding author)(1973-), male, native of Lankao, Henan, an associate professor of Henan University, Ph.D., engages in Lie theory.
  • 基金资助:
    Supported by the National Natural Science Foundation of China(11047030); Supported by the Science and Technology Program of Henan Province(152300410061);

Kac Determinant Formula for the q-deformed Virasoro Algebra of Hom-type

  1. 1. School of Mathematics and Statistics,Henan University2. Institute of Contemporary Mathematics,Henan University
  • Received:2016-01-28 Online:2016-12-30 Published:2020-10-30
  • About author:CHENG Yong-sheng(corresponding author)(1973-), male, native of Lankao, Henan, an associate professor of Henan University, Ph.D., engages in Lie theory.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11047030); Supported by the Science and Technology Program of Henan Province(152300410061);

摘要: We investigate the highest weight representations of the q-deformed Virasoro algebra of Hom-type. In order to determine its unitarity and irreducible highest weight representations, we present its Kac determinant formula when q is nonzero and non-root of unity. 

关键词: the q-deformed Virasoro algebra of Hom-type, unitary highest weight representation, Kac determinant formula

Abstract: We investigate the highest weight representations of the q-deformed Virasoro algebra of Hom-type. In order to determine its unitarity and irreducible highest weight representations, we present its Kac determinant formula when q is nonzero and non-root of unity. 

Key words: the q-deformed Virasoro algebra of Hom-type, unitary highest weight representation, Kac determinant formula

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