Associative algebra deformations of the Connes-Moscovici's Hopf algebra $\mathcal{H}_1$

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dc.creatorFialowski, Alice
dc.creatorWagemann, Friedrich
dc.date2008-08-27
dc.date2009-04-05
dc.date.accessioned2026-07-07T12:59:50Z
dc.date.available2026-07-07T12:59:50Z
dc.descriptionWe compute the second Hochschild cohomology space $HH^2(\mathcal{H}_1)$ of Connes-Moscovici's Hopf algebra $\mathcal{H}_1$, giving the infinitesimal deformations (up to equivalence) of the associative structure. $HH^2(\mathcal{H}_1)$ is shown to be one dimensional, and thus Connes-Moscovici's formal deformation of $\mathcal{H}_1$ using Rankin-Cohen brackets is unique up to equivalence.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0808.3653
dc.identifierhttp://arxiv.org/abs/0808.3653
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225694
dc.subjectQuantum Algebra
dc.subjectAlgebraic Geometry
dc.subject17B65; 17B56; 16E40; 16S80
dc.titleAssociative algebra deformations of the Connes-Moscovici's Hopf algebra $\mathcal{H}_1$
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