The following is a list of some open problems in Clifford analysis supplied by a fairly broad spectrum of researchers actively working in this field or closely related fields. While this list of problems is by no means complete the intention here is to stimulate interest in and further research into Clifford analysis and to hopefully encourage others to work in this extremely interesting and gr...

The functional quantum field theory, developed by Stumpf, provides the possibility to derive the quantum dynamics of a positronium gas from Coulomb interacting electrons and positrons. By this example, the method will be brought in a Clifford algebraic light, through identifying the functional space with an infinite dimensional Euclidean Clifford algebra.

We prove in this paper that the elliptic R–matrix of the eight vertex free fermion model is the intertwiner R–matrix of a quantum deformed Clifford–Hopf algebra. This algebra is constructed by affinization of a quantum Hopf deformation of the Clifford algebra. IMAFF-2/93 February 1993