On non-compact groups. II. Representations of the 2+1 Lorentz group

Abstract

A simple algebraic method based on multispinors with a complex number of indices is used to obtain the linear (and unitary) representations of non-compact groups. The method is illustrated in the case of the 2 + 1 Lorentz group. All linear representations of this group, their various realizations in Hilbert space as well as the matrix elements of finite transformations have been found. The problem of reduction of the direct product is also briefly discussed.