Spherical functions on the de Sitter group

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dc.creatorVarlamov, V. V.
dc.date2006-04-13
dc.date2006-12-12
dc.date.accessioned2026-07-07T07:35:58Z
dc.date.available2026-07-07T07:35:58Z
dc.descriptionMatrix elements and spherical functions of irreducible representations of the de Sitter group are studied on the various homogeneous spaces of this group. It is shown that a universal covering of the de Sitter group gives rise to quaternion Euler angles. An explicit form of Casimir and Laplace-Beltrami operators on the homogeneous spaces is given. Different expressions of the matrix elements and spherical functions are given in terms of multiple hypergeometric functions both for finite-dimensional and unitary representations of the principal series of the de Sitter group.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0604026
dc.identifierhttp://arxiv.org/abs/math-ph/0604026
dc.identifierJ.Phys. A40 (2007) 163
dc.identifierdoi:10.1088/1751-8113/40/1/010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120272
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subject22E43; 22E70; 33C70; 35Q40
dc.titleSpherical functions on the de Sitter group
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