Biderivations of the deformative Schrödinger-Virasoro algebras. Issue 2 (1st February 2020)

• Record Type: Journal Article
• Authors: Jiang, Jingwei; Tang, Xiaomin
• Is Part Of: Communications in algebra. Volume 48:Issue 2(2020)
• Page Start: 609
• Page End: 624
• Publication Date: 2020-02-01
• Subjects: Biderivation -- deformative Schrödinger-Virasoro algebra -- post-Lie algebra; 17B05 -- 17B40 -- 17B65; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2019.1654489
• Languages: English
• ISSNs: 0092-7872

Abstract

Abstract: For a, b ∈ C, s = 0 or 1 2, the deformative Schrödinger-Virasoro algebra W ( a, b, s ) is the semi-direct product Lie algebra of the Witt algebra and its tensor density module. It contains W-algebra W ( a, b ) as its subalgebras, and Schrödinger-Virasoro algebra is his special case. In this paper, all biderivations of W ( a, b, s ) are determined. It is observed that these Lie algebras have rich variety of symmetric (and skewsymmetric) non-inner biderivations. As an application, commutative post-Lie algebra structures on W ( a, b, s ) are obtained.