Representations of a symplectic type subalgebra of W∞

DOI10.1063/1.1560553zbMath1062.17003OpenAlexW4243351092MaRDI QIDQ4833002

Carina Boyallian, Jose I. Liberati

Publication date: 14 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1560553

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68)

Related Items (5)

Finite growth representations of infinite Lie conformal algebras ⋮ Quasifinite representations of classical Lie subalgebras of $W_{\bm\infty ,\,p}$W∞,p ⋮ Representations of centrally-extended Lie algebras over differential operators and vertex algebras ⋮ QHWM of the orthogonal type Lie subalgebra of the Lie algebra of matrix differential operators on the circle ⋮ Representations of a symplectic type subalgebra of $W^N_{\infty }$W∞N

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 \(W_\infty\)
• \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\)
• Zeta values and differential operators on the circle
• Representation theory of the vertex algebra \(W_{1+\infty}\)
• Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle
• Subalgebras of W_{1+ infinity}and their quasifinite representations

This page was built for publication: Representations of a symplectic type subalgebra of W∞