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On the Magic Matrix by Makhlin and the B-C-H Formula in SO(4)

Kazuyuki Fujii·Tatsuo Suzuki
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Abstract

A closed expression to the Baker-Campbell-Hausdorff (B-C-H) formula in SO(4) is given by making use of the magic matrix by Makhlin. As far as we know this is the {\bf first nontrivial example} on (semi-) simple Lie groups summing up all terms in the B-C-H expansion.

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Kazuyuki Fujii, Tatsuo Suzuki. 2007-07-18. On the Magic Matrix by Makhlin and the B-C-H Formula in SO(4). https://doi.org/10.1142/s0219887807002430

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