Central extensions of the algebra of formal pseudo-differential symbols via Hochschild (co)homology and quadratic symplectic Lie algebras
DOI10.1016/j.jpaa.2017.08.017zbMath1432.17018OpenAlexW2743138401WikidataQ115345392 ScholiaQ115345392MaRDI QIDQ1742995
Enrique G. Reyes, Jarnishs Beltran, Marco Andrés Farinati
Publication date: 12 April 2018
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jpaa.2017.08.017
(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Lie algebras of vector fields and related (super) algebras (17B66) Cohomology of Lie (super)algebras (17B56)
Cites Work
- Formal pseudodifferential operators in one and several variables, central extensions, and integrable systems
- Classification of traces and hypertraces on spaces of classical pseudodifferential operators
- The homology of algebras of pseudo-differential symbols and the noncommutative residue
- Solvability of the super KP equation and generalized of the Birkhoff decomposition
- Algebraic aspects of nonlinear differential equations
- On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
- On the noncommutative residue for pseudodifferential operators with log-polyhomogeneous symbols
- Lie algebras of differential operators, their central extensions, and W- algebras
- Symplectic structures on quadratic Lie algebras
- The Geometry of Infinite-Dimensional Groups
- ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
- Rational homotopical models and uniqueness
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