Dynkin’s method of computing the terms of the Baker–Campbell–Hausdorff series
Copyright policy )Dynkin’s method of computing the terms of the Baker–Campbell–Hausdorff series
The infinite series for log(exp X exp Y) for noncommuting X and Y is expressible in terms of iterated commutators of X and Y except for the linear term X+Y. Dynkin derived an explicit expression for the terms as a sum of iterated commutators over a certain set of sequences. This paper presents a practical algorithm for applying Dynkin’s formula and gives several illustrative examples.
- University of Montreal Canada
algorithm, Baker-Campbell-Hausdorff theorem, Software, source code, etc. for problems pertaining to nonassociative rings and algebras, infinite series of iterated commutators, rational coefficients, Structure theory for Lie algebras and superalgebras, Local Lie groups
algorithm, Baker-Campbell-Hausdorff theorem, Software, source code, etc. for problems pertaining to nonassociative rings and algebras, infinite series of iterated commutators, rational coefficients, Structure theory for Lie algebras and superalgebras, Local Lie groups
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