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

Mathematics Subject Classification ID

(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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