" General form of
-matrices of the first order wave equations in
16-dimensional representation"-matrices of the first order wave equations in
16-dimensional representation"
The most general expressions of the -matrices of the first order
wave equations in 16-dimensional representations in the direct product
(DP),
Gelfand (G), and Kemmer-Duffin-Petiau (KDP) basises are computed. In
the general case, 16 arbitrary parameters arises. Depending on these
parameters, the 
-matrices satisfy the KDP-, the Dirac- and a new
algebras, so that corresponding equations may describe both, the bosons
and fermions equally. The classical KDP theory describes spin 0 and 1
particles only.
It appears, that the reduction 1 + 5 + 10 only in a special case is
possible and 
in generally. Unitary transformations, connecting
the quantities of DP-basis with ones of G- and KDP-basises, are
expressed.
The article was published in Estonian Proc.Acad.Sci.Phys.Math.,1998, 47, 2, 110-127 . You may find it as pdf-file also.
kalle.kiiranen[at]ut.ee