Adjoint representation of the graded Lie algebra osp(2/1; C) and its exponentiation
arXiv:hep-th/0308009
Abstract
We construct explicitly the grade star Hermitian adjoint representation of osp(2/1; C) graded Lie algebra. Its proper Lie subalgebra, the even part of the graded Lie algebra osp(2/1; C), is given by su(2) compact Lie algebra. The Baker-Campbell-Hausdorff formula is considered and reality conditions for the Grassman-odd transformation parameters, which multiply the pair of odd generators of the graded Lie algebra, are clarified.
4 pages, ReVTeX4, no figures; v2: Eq. (8) corrected and references added