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Canonical representations of the generalized Lorentz group on a sphere

Annotation

the generalized Lorentz group G=SO0(1, n-1) acts on the unit sphere in Rn with an overgroup SL(n, R). This action has 3 open orbits. We decompose the canonical representations , C, , of the group G into irreducible constituents and decompose the accompanying Berezin form

Keywords

canonical representations; pseudo-orthogonal group; Berezin transform

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UDC

517.98

Pages

656-659

Section of issue

Scientific articles

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