COHOMOLOGY OF THE VIRASORO–ZAMOLODCHIKOV AND RENORMALIZED HIGHER POWERS OF WHITE NOISE *-LIE ALGEBRAS

DOI10.1142/S0219025709003641zbMath1257.81045MaRDI QIDQ5325567

Luigi Accardi, Andreas Boukas

Publication date: 10 August 2009

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantum stochastic calculus (81S25) Cohomology of Lie (super)algebras (17B56)

Related Items (4)

\(C^{\ast}\)-non-linear second quantization ⋮ Polynomial Extensions of the Weyl C*-Algebra ⋮ Identification of the one-mode quadratic Heisenberg group with the projective group PSU(1,1) and holomorphic representation ⋮ \(C^*\)-quadratic quantization

Cites Work

• Unnamed Item
• Renormalized higher powers of white noise and the Virasoro-Zamolodchikov-\(w_\infty \) algebra
• The structure of the \(W_ \infty\) algebra
• UNITARY REPRESENTATIONS OF THE WITT AND sl(2, ℝ)-ALGEBRAS THROUGH RENORMALIZED POWERS OF THE QUANTUM PASCAL WHITE NOISE
• RENORMALIZED POWERS OF QUANTUM WHITE NOISE
• RENORMALIZED HIGHER POWERS OF WHITE NOISE (RHPWN) AND CONFORMAL FIELD THEORY

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