Spherical monogenics: an algebraic approach

The space of spherical monogenics M(k) in R(m) can be regarded as a model for the irreducible representation of Spin(m) with weight (k + 1/2, 1/2, ..., 1/2). In this paper we construct an orthonormal basis for M(k). To describe the symmetry behind this procedure, we define certain Spin(m - 2)invariant representations of the Lie algebra sl(2) on M(k)