-Differential operators and -differential modules for the Virasoro algebra. Issue 7 (3rd July 2019)

• Record Type: Journal Article
• Authors: Liu, Xuewen; Guo, Li; Guo, Xiangqian
• Is Part Of: Linear & multilinear algebra. Volume 67:Issue 7(2019)
• Page Start: 1308
• Page End: 1324
• Publication Date: 2019-07-03
• Subjects: Differential Lie algebra -- differential module -- Witt algebra -- Virasoro algebra; 17B10 -- 17B68 -- 15A04 -- 17B40 -- 15A69 -- 17B65; Algebras, Linear -- Periodicals; Multilinear algebra -- Periodicals; 512.505
• DOI: 10.1080/03081087.2018.1451479
• Languages: English
• ISSNs: 0308-1087

Abstract

ABSTRACT: The concept of λ -differential operators is a natural generalization of differential operators and difference operators. In this paper, we determine the λ -differential Lie algebraic structure on the Witt algebra and the Virasoro algebra for invertible λ . Then we consider several families of modules over the Virasoro algebra with explicit module actions and determine the λ -differential module structures on them.