In the framework of the Joos-Weinberg 2(2S+1)- theory for massless particles,
the dynamical invariants have been derived from the Lagrangian density which is
considered to be a 4- vector. A la Majorana interpretation of the 6- component
"spinors", the field operators of S=1 particles, as the left- and
right-circularly polarized radiation, leads us to the conserved quantities
which are analogous to those obtained by Lipkin and Sudbery. The scalar
Lagrangian of the Joos-Weinberg theory is shown to be equivalent to the
Lagrangian of a free massless field, introduced by Hayashi. As a consequence of
a new "gauge" invariance this skew-symmetric field describes physical particles
with the longitudinal components only. The interaction of the spinor field with
the Weinberg's 2(2S+1)- component massless field is considered. New
interpretation of the Weinberg field function is proposed. KEYWORDS: quantum
electrodynamics, Lorentz group representation, high-spin particles, bivector,
electromagnetic field potential. PACS: 03.50.De, 11.10.Ef, 11.10.Qr, 11.17+y,
11.30.Cp