Derivations and automorphism groups of the original deformative Schrödinger-Virasoro algebras

2012/09/14 by Qifen Jiang, Song Wang, Jiang, Qifen +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1209.3164

33 pages

arxiv created 2012/09/14 · openalex publication_date 2012/09/14 · arxiv updated 2012/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we determine the derivation algebra and the automorphism group of the original deformative \rm Schrodinger-\rm Virasoro algebras which is the semi-direct product Lie algebra of the Witt algebra and its tensor density module \rm I^g(a,b).

Citations

• The derivations, central extensions and automorphism group of the Lie algebra W
• Universal enveloping algebras of Leibniz algebras and (co)homology

Related

• The derivation algebra and automorphism group of the twisted Schrödinger-Virasoro algebra
• Lie bialgebra structures on the deformative Schrödinger-Virasoro algebras
• Structure of the extended Schrodinger-Virasoro Lie algebra
• The groups of automorphisms of the Witt W_n and Virasoro Lie algebras
• Transposed Poisson structures on the extended Schrödinger-Virasoro and the original deformative Schrödinger-Virasoro algebras