On the Magic Matrix by Makhlin and the B-C-H Formula in SO(4)
Kazuyuki Fujii, Tatsuo Suzuki
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 first nontrivial example on (semi-) simple Lie groups summing up all terms in the B-C-H expansion.
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