Differential Algebra Structures on Familes of Trees

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dc.creatorGrossman, Robert L
dc.creatorLarson, Richard G
dc.date2004-09-01
dc.date.accessioned2026-07-07T05:11:42Z
dc.date.available2026-07-07T05:11:42Z
dc.descriptionIt is known that the vector space spanned by labeled rooted trees forms a Hopf algebra. Let k be a field and let R be a commutative k-algebra. Let H denote the Hopf algebra of rooted trees labeled using derivations D in Der(R). In this paper, we introduce a construction which gives R a H-module algebra structure and show this induces a differential algebra structure of H acting on R. The work here extends the notion of a R/k-bialgebra introduced by Nichols and Weisfeiler.
dc.description31 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0409006
dc.identifierhttp://arxiv.org/abs/math/0409006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72333
dc.subjectQuantum Algebra
dc.titleDifferential Algebra Structures on Familes of Trees
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