One‐parameter subgroups, the exponential mapping, and canonical coordinates have previously been defined for connected supergroups. In this paper, a technique for obtaining analytical expressions linking different coordinate schemes for supergroups is presented. These are the Baker–Campbell–Hausdorff relations. The method is illustrated in detail with the examples of supergroups based on the supersymmetric quantum‐mechanical superalgebra sqm (2) and on the Inönü–Wigner contraction isop(1/2) of the simple superalgebra osp(1/2).
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We remark that this is not true in general. Although for may be nonvanishing.
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© 1986 American Institute of Physics.
1986
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