Cohomologies and deformations of right-symmetric algebras

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dc.creatorDzhumadil'daev, Askar
dc.date1998-07-13
dc.date.accessioned2026-07-07T05:25:23Z
dc.date.available2026-07-07T05:25:23Z
dc.descriptionAn algebra $A$ with identity $(a\circ b)\circ c-a\circ(b\circ c)=(a\circ c)\circ b-a\circ(c\circ b),$ is called right-symmetric. Cohomology and deformation theory for right-symmetric algebras are developed. Cohomologies of $gl_n$ and half-Witt algebras $W_n^{rsym}, p=0,$ $W_n^{rsym}({\bf m}), p>0,$ are calculated. In particular, one right-symmetric central extension of $W_1^{rsym}$ is constructed.
dc.description51 pages, latex, no figures
dc.identifierhttps://arxiv.org/abs/math/9807065
dc.identifierhttp://arxiv.org/abs/math/9807065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77154
dc.subjectDifferential Geometry
dc.subjectRings and Algebras
dc.titleCohomologies and deformations of right-symmetric algebras
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