Abstract
Let L=l(x 1,..., xm) be a graded Lie algebra generated by x 1,..., x m . In this paper, we show that for any element P in L and any order k, exp(P) may be approximated at the order k by a finite product of elementary factors exp(λi,xi,). We give an explicit construction that avoids any calculation in the Lie algebra.
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© 1997 Springer-Verlag Berlin Heidelberg
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Jean, F., Koseleff, PV. (1997). Elementary approximation of exponentials of Lie polynomials. In: Mora, T., Mattson, H. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 1997. Lecture Notes in Computer Science, vol 1255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63163-1_14
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DOI: https://doi.org/10.1007/3-540-63163-1_14
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