* The main treatment is devoted to the analysis of systems of linear partial differential
equations (PDEs) with constant coefficients, focusing attention on null solutions of Dirac …

Quaternion and Clifford Fourier Transforms describes the development of quaternion and
Clifford Fourier transforms in Clifford (geometric) algebra over the last 30 years. It is the first …

In this paper we investigate a generalization of the classical Rarita–Schwinger equations for
spin 3/2 fields to the case of functions taking values in irreducible representation spaces with …

In this paper, we use the representation theory of the group Spin (m) to develop aspects of
the global symbolic calculus of pseudo-differential operators on Spin (3) and Spin (4) in the …

This paper deals with the generalisation of the classical Maxwell equations to arbitrary
dimension mm and their connections with the Rarita–Schwinger equation. This is done …

This paper completes the construction of arbitrary order conformally invariant differential
operators in higher spin spaces. Jan Slovák has classified all conformally invariant …

In this paper an explicit expression is determined for the elliptic higher spin Dirac operator,
acting on functions taking values in an arbitrary irreducible finite-dimensional module for the …

We construct unitary irreducible representation of the de Sitter group, that forms the basis for
the study of $ dS_ {d+ 1} $ QFT. Using the intertwining kernel analysis, we discuss bosonic …

In this paper we study the sp (2 m)-invariant Dirac operator D s which acts on symplectic
spinors, from an orthogonal point of view. By this we mean that we will focus on the …

This paper deals with the problem of factorizing integer powers of the Laplace operator
acting on functions taking values in higher spin representations. This is a far-reaching …