The central extension defining the super matrix generalization of \(W_{1+\infty}\)

DOI10.1155/2011/870613zbMath1238.81135OpenAlexW2097972804WikidataQ58654866 ScholiaQ58654866MaRDI QIDQ666340

Jose I. Liberati, Carina Boyallian

Publication date: 8 March 2012

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

Full work available at URL: https://doi.org/10.1155/2011/870613

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Determinant formulae of quasi-finite representation of \(W_{1+\infty}\) algebra at lower levels
• 2-cocycles on the algebra of differential operators
• The super-\(W^ \infty (\lambda)\) algebra
• The logarithm of the derivative operator and higher spin algebras of \(W_{\infty{}}\) type
• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• Lie subalgebras of differential operators on the super circle
• Unitary quasi-finite representations of \(W_\infty\)
• Lie algebras of differential operators, their central extensions, and W- algebras
• On the classification of subalgebras of \(\text{Cend}_N\) and \(\text{gc}_N\).
• Quasifinite highest weight modules over the super \(W_{1+\infty}\) algebra
• Derivation Algebras and 2-Cocycles of the Algebras ofq-Differential Operators
• Central extensions of some Lie algebras
• Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle
• UNITARY REPRESENTATIONS OF W INFINITY ALGEBRAS

This page was built for publication: The central extension defining the super matrix generalization of \(W_{1+\infty}\)