Rota–Baxter operators on Witt and Virasoro algebras
Copyright policy )Rota–Baxter operators on Witt and Virasoro algebras
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.
28 pages
- North Carolina Agricultural and Technical State University United States
- South China University of Technology China (People's Republic of)
- Nankai University China (People's Republic of)
- North Carolina State University United States
- South Carolina State University United States
Virasoro and related algebras, FOS: Physical sciences, Lie bialgebras; Lie coalgebras, Mathematics - Rings and Algebras, Mathematical Physics (math-ph), Lie-admissible algebras, Virasoro algebra, Witt algebra, Rings and Algebras (math.RA), Mathematics - Quantum Algebra, pre-Lie algebra, FOS: Mathematics, Infinite-dimensional Lie (super)algebras, Rota-Baxter operator, Quantum Algebra (math.QA), post-Lie algebra, Mathematical Physics
Virasoro and related algebras, FOS: Physical sciences, Lie bialgebras; Lie coalgebras, Mathematics - Rings and Algebras, Mathematical Physics (math-ph), Lie-admissible algebras, Virasoro algebra, Witt algebra, Rings and Algebras (math.RA), Mathematics - Quantum Algebra, pre-Lie algebra, FOS: Mathematics, Infinite-dimensional Lie (super)algebras, Rota-Baxter operator, Quantum Algebra (math.QA), post-Lie algebra, Mathematical Physics
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