The Baker-campbell-hausdorff Formula in the Free Metabelian Lie Algebra
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چکیده
The classical Baker-Campbell-Hausdorff formula gives a recursive way to compute the Hausdorff series H = ln(ee ) for noncommuting 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(ee ) in a linear basis of the graded completion of the free metabelian Lie algebra L̄ = L/[[L, L], [L, L]].
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تاریخ انتشار 2006