Some remarks on q-deformed multiple polylogarithms

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dc.creatorSchlesinger, Karl-Georg
dc.date2001-11-02
dc.date.accessioned2026-07-07T04:44:13Z
dc.date.available2026-07-07T04:44:13Z
dc.descriptionWe introduce general q-deformed multiple polylogarithms which even in the dilogarithm case differ slightly from the deformation usually discussed in the literature. The merit of the deformation as suggested, here, is that q-deformed multiple polylogarithms define an algebra, then (as in the undeformed case). For the special case of q-deformed multiple zeta-values, we show that there exists even a noncommutative and noncocommutative Hopf algebra structure which is a deformation of the commutative Hopf algebra structure which one has in the classical case. Finally, we discuss the possible correspondence between q-deformed multiple polylogarithms and a noncommutative and noncocommutative self-dual Hopf algebra recently introduced by the author as a quantum analog of the Grothendieck-Teichmueller group.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0111022
dc.identifierhttp://arxiv.org/abs/math/0111022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62548
dc.subjectQuantum Algebra
dc.subject11G55; 17B37
dc.titleSome remarks on q-deformed multiple polylogarithms
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