Representations of classical Lie subalgebras of quantum pseudodifferential operators

DOI10.1063/1.1845600zbMath1067.17011OpenAlexW2079208831MaRDI QIDQ3024277

Carina Boyallian, Jose I. Liberati

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1063/1.1845600

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Graded Lie (super)algebras (17B70)

Related Items (2)

A (q,γ) analog of the W1+∞ algebra ⋮ Lie subalgebras of the matrix quantum pseudodifferential operators

Cites Work

• Quasifinite representations of classical Lie subalgebras of \({\mathcal W}_{1+\infty}\)
• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• Unitary quasi-finite representations of \(W_\infty\)
• On modules over matrix quantum pseudo-differential operators
• Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle

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