Algebraic curves for commuting elements in the q-deformed Heisenberg algebra

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dc.creatorde Jeu, Marcel
dc.creatorSvensson, Christian
dc.creatorSilvestrov, Sergei
dc.date2007-10-15
dc.date2008-11-18
dc.date.accessioned2026-07-07T12:28:30Z
dc.date.available2026-07-07T12:28:30Z
dc.descriptionIn this paper we extend the eliminant construction of Burchnall and Chaundy for commuting differential operators in the Heisenberg algebra to the q-deformed Heisenberg algebra and show that it again provides annihilating curves for commuting elements, provided q satisfies a natural condition. As a side result we obtain estimates on the dimensions of the eigenspaces of elements of this algebra in its faithful module of Laurent series.
dc.description18 pages, 2 figures, LaTeX. Final version with some improvements in presentation. To appear in Journal of Algebra.
dc.identifierhttps://arxiv.org/abs/0710.2748
dc.identifierhttp://arxiv.org/abs/0710.2748
dc.identifierJournal of Algebra 321 (2009), pp. 1239-1255
dc.identifierdoi:10.1016/j.jalgebra.2008.10.021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215562
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subject16S99 (Primary) 81S05, 39A13 (Secondary)
dc.titleAlgebraic curves for commuting elements in the q-deformed Heisenberg algebra
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