Hom-型的q-形变Virasoro代数的Kac行列式公式

doi:10.13371/j.cnki.chin.q.j.m.2016.04.001

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

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Hom-型的q-形变Virasoro代数的Kac行列式公式

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. 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/Abstract

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

中图分类号:

O152.5

亓欢歌, 程永胜, 王梦平, 武琳丽. Hom-型的q-形变Virasoro代数的Kac行列式公式[J]. 数学季刊, 2016, 31(4): 331-339.

QI Huan-ge, CHENG Yong-sheng, WANG Meng-ping, WU Lin-li. Kac Determinant Formula for the q-deformed Virasoro Algebra of Hom-type[J]. Chinese Quarterly Journal of Mathematics, 2016, 31(4): 331-339.

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Hom-型的q-形变Virasoro代数的Kac行列式公式

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

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