The Baker-Campbell-Hausdorff formula in the free metabelian Lie algebra

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dc.creatorKurlin, V.
dc.date2006-06-14
dc.date2006-12-10
dc.date.accessioned2026-07-07T07:17:16Z
dc.date.available2026-07-07T07:17:16Z
dc.descriptionThe classical Baker-Campbell-Hausdorff formula gives a recursive way to compute the Hausdorff series H=ln(e^X e^Y) for non-commuting X,Y. Formally H lives in the graded completion of the free Lie algebra L generated by X,Y. We present a closed explicit formula for H=ln(e^X e^Y) in a linear basis of the graded completion of the free metabelian Lie algebra L/[[L,L],[L,L]].
dc.description10 pages, the paper was completely reworked. The metabelian BCH formula is interpreted as a linear part of a deeper formula for ln(e^X e^Y)
dc.identifierhttps://arxiv.org/abs/math/0606330
dc.identifierhttp://arxiv.org/abs/math/0606330
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113880
dc.subjectQuantum Algebra
dc.subjectAlgebraic Topology
dc.subject17B01
dc.titleThe Baker-Campbell-Hausdorff formula in the free metabelian Lie algebra
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