Abstract
SIGMA 10 (2014), 084, 15 pages Group elements of SU(2) are expressed in closed form as finite polynomials of
the Lie algebra generators, for all definite spin representations of the
rotation group. The simple explicit result exhibits connections between group
theory, combinatorics, and Fourier analysis, especially in the large spin
limit. Salient intuitive features of the formula are illustrated and discussed.
