Ideas of projective geometry keep reappearing in seemingly unrelated fields of mathematics.
The authors' main goal in this 2005 book is to emphasize connections between classical …

We consider the supercircle S 1| 1 equipped with the standard contact structure. The Lie
superalgebra K (1) of contact vector fields contains the Möbius superalgebra osp (1| 2). We …

Deser and Nepomechie established a relationship between masslessness and rigid
conformal invariance by coupling to a background metric and demanding local Weyl …

By a uniform and simple Weyl invariant coupling of scale and matter fields, we construct
theories that unify massless, massive, and partially massless excitations. Masses are related …

Cohomology of the Vector Fields Lie Algebra and Modules of Differential Operators on a
Smooth Manifold Page 1 Cohomology of the Vector Fields Lie Algebra and Modules of …

Quantum integrability of quadratic Killing tensors | Journal of Mathematical Physics | AIP
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On locally conformally flat manifolds, we describe a construction which maps generalised
conformal Killing tensors to differential operators which may act on any conformally …

We develop a new approach, based on quantization methods, to study higher symmetries of
invariant differential operators. We focus here on conformally invariant powers of the …

We introduce o (p+ 1 q+ 1)-invariant bilinear differential operators on the space of tensor
densities on R n generalizing the well-known bilinear sl 2-invariant differential operators in …

In this paper, we define a natural generalization of the notion of projectively equivariant
quantization on a flat space to arbitrary manifolds equipped with arbitrary projective …