Extensions of modules over a class of Lie conformal algebras W (b)

被引:6
作者
Ling, Kaijing [1 ]
Yuan, Lamei [1 ]
机构
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Lie conformal algebra; conformal modules; extensions;
D O I
10.1142/S0219498819501640
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let W (b) be a class of free Lie conformal algebras of rank two with C[partial derivative]-basis {L, H} and relations [L lambda L] = (partial derivative + 2 lambda)L, [L lambda H] = (partial derivative + (1 - b)lambda)H, [H lambda H] = 0, where b is a nonzero complex number. In this paper, we classify extensions between two finite irreducible conformal modules over the Lie conformal algebras W (b).
引用
收藏
页数:13
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