A geometric derivation is given of a family of scalar conformally invariant differential
operators on conformal densities with leading part a power of the Laplacian. The derivation …

In this paper, we give the answer to the following two intimately related problems.(a) To
decompose the tensor products of the harmonic representations into irreducible components …

" Brings to the reader a huge amount of information, well organized and condensed into less
than two hundred pages."—Mathematical Reviews In recent decades twistor theory has …

Let (M, g) be a pseudo-Riemannian manifold of dimension n. Explicit formulas are given for
(1) a fourth-order operator D4, k on k-forms in M, n≠ 1, 2, 4,(2) a sixth-order operator D6 on …

It is shown that there exist conformally covariant differential operators D 2l, k of all even
orders 2l, on differential forms of all orders k, in the double cover n of the n-dimensional …

One of the classic and most pleasing calculations in the representation theory of semisimple
Lie groups is Bargmann's [Ba](see also [Na]) description of the structure of representations …

Mathematical features involved in the systematic development of elementary particle theory
on an alternative cosmos (space-time) are presented. Bundles representative of physical …

The subject matter of this work is an area of Lorentzian geometry which has not been
heretofore much investigated: Do there exist Lorentzian manifolds all of whose light-like …

Restrictions and Expansions of Holomorphic Representations Page 1 JOURNAL OF
FUNCTIONAL ANALYSIS 34, 29-53 (1979) Restrictions and Expansions of Holomorphic …

We develop quaternionic analysis using as a guiding principle representation theory of
various real forms of the conformal group. We first review the Cauchy–Fueter and Poisson …