P∞ Algebra of KP, Free Fermions and 2-Cocycle in the Lie Algebra of Pseudodifferential Operators

DOI10.1142/S0217979297001532zbMath1229.81133arXivsolv-int/9701008OpenAlexW1992379531WikidataQ115246064 ScholiaQ115246064MaRDI QIDQ3106712

Alexander Yu. Orlov, Pavel Winternitz

Publication date: 29 December 2011

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9701008

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (4)

Γ -conformal algebras ⋮ Commutative families in \(W_\infty\), integrable many-body systems and hypergeometric \(\tau\)-functions ⋮ Symmetries and Reductions on the noncommutative Kadomtsev-Petviashvili and Gelfand-Dickey hierarchies ⋮ Additional symmetries and string equations of the noncommutative B and C type KP hierarchies

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