Central extensions of the algebra of formal pseudo-differential symbols via Hochschild (co)homology and quadratic symplectic Lie algebras

dc.creatorBeltran, Jarnishs
dc.creatorFarinati, Marco
dc.creatorReyes, Enrique G.
dc.date.accessioned2018-02-22T21:03:09Z
dc.date.accessioned2019-05-17T14:40:55Z
dc.date.available2018-02-22T21:03:09Z
dc.date.available2019-05-17T14:40:55Z
dc.date.created2018-02-22T21:03:09Z
dc.date.issued2017
dc.identifierJournal of Pure and Applied Algebra Available online 8 August 2017
dc.identifierhttps://doi.org/10.1016/j.jpaa.2017.08.017Get rights and content
dc.identifierhttp://hdl.handle.net/11447/1994
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/2674936
dc.description.abstractWe describe the space of central extensions of the associative algebra Ψn of formal pseudo-differential symbols in n≥1 independent variables using Hochschild (co)homology groups: we prove that the first Hochschild (co)homology group HH1(Ψn) is 2n-dimensional and we use this fact to calculate the first Lie (co)homology group HLie1(Ψn) of Ψn equipped with the Lie bracket induced by its associative algebra structure. As an application, we use our calculations to provide examples of infinite-dimensional quadratic symplectic Lie algebras.
dc.languageen_US
dc.titleCentral extensions of the algebra of formal pseudo-differential symbols via Hochschild (co)homology and quadratic symplectic Lie algebras
dc.typeArtículos de revistas


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