2014/07/31 by Xu Gao, Ming Liu, Chengming Bai +1
Computer Science · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Affine Lie algebra #Algebra over a field #Algebra representation #Algebraic structures and combinatorial models #Cellular algebra #Combinatorics #Current algebra #Homogeneous #Lie algebra #Mathematics #Matrix Theory and Algorithms #Physics #Pure mathematics #Quantum #Quantum mechanics #Virasoro algebra #Witt algebra #Yang–Baxter equation #math-ph #math.MP #math.QA #math.RA
paper · pdf · doi:10.1016/j.geomphys.2016.06.007
published as J. Geom. Phys. 108 (2016), 1-20 · 28 pages
arxiv created 2016/06/15 · openalex publication_date 2016/06/24 · arxiv updated 2016/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The homogeneous Rota-Baxter operators on the Witt and Virasoro algebras are classified. As applications, the induced solutions of the classical Yang-Baxter equation and the induced pre-Lie and PostLie algebra structures are obtained.