Complex parametrized \(W\)-algebras: The \({\mathfrak {gl}}\) case

DOI10.1007/BF00751168zbMath0823.17038MaRDI QIDQ1329168

Benjamin Enriquez

Publication date: 31 October 1995

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

deformationsvertex operatorLie-Poisson structure\(W\)-algebrapseudodifferential symbolsPoisson bracket algebras of functions

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Pseudodifferential and Fourier integral operators on manifolds (58J40) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (1)

Universal Drinfeld-Sokolov reduction and matrices of complex size

Cites Work

• A central extension of the algebra of pseudodifferential symbols
• Poisson manifolds and the Schouten bracket
• The Lie algebras $ \mathfrak{gl}(\lambda)$ and cohomologies of Lie algebras of differential operators
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