Algebras of invariant differential operators on unit sphere bundles over two-point homogeneous Riemannian spaces

Details Algebras of invariant differential operators on unit sphere bundles over two-point homogeneous Riemannian spaces Algebras of invariant differential operators on unit sphere bundles over two-point homogeneous Riemannian spaces

2002-09-12

arxiv.org/abs/math/0209141v4

J. Phys. A, Mathematical and General, V. 36 (2003), pp. 7361-7396

Mathematics

Representation Theory

LaTeX, 38 pages, 1 figure, octonionic case was included in the 3-rd version, some errors were corrected in the 4-th one

Scientific paper

10.1088/0305-4470/36/26/310

Let $G$ be the identity component of the isometry group for an arbitrary curved two-point homogeneous space $M$. We consider algebras of $G$-invariant differential operators on bundles of unit spheres over $M$. The generators of this algebra and the corresponding relations for them are found. The connection of these generators with two-body problem on two-point homogeneous spaces is discussed.

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