TY - GEN
T1 - Elementary approximation of exponentials of lie polynomials
AU - Jean, Frédéric
AU - Koseleff, Pierre Vincent
N1 - Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 1997.
PY - 1997/1/1
Y1 - 1997/1/1
N2 - Let ℒ = L(x1, …, xm) be a graded Lie algebra generated by {x1, …, xm}. 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(λixi). We give an explicit construction that avoids any calculation in the Lie algebra.
AB - Let ℒ = L(x1, …, xm) be a graded Lie algebra generated by {x1, …, xm}. 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(λixi). We give an explicit construction that avoids any calculation in the Lie algebra.
U2 - 10.1007/3-540-63163-1_14
DO - 10.1007/3-540-63163-1_14
M3 - Conference contribution
AN - SCOPUS:84880129477
SN - 3540631631
SN - 9783540631637
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 174
EP - 188
BT - Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 12th International Symposium, AAECC- 12, Proceedings
A2 - Mora, Teo
A2 - Mattson, Harold
PB - Springer Verlag
T2 - 12th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC 1997
Y2 - 23 June 1997 through 27 June 1997
ER -