Composition series for representations of the generalized Lorentz group associated with a cone

Authors
Publication date 2008
Journal Bulgarian Journal of Physics
Event VII. international workshop Lie Theory and Its Applications in Physics (LT-7), Varna, Bulgaria
Volume | Issue number 35
Pages (from-to) 335-351
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract Consider the cone C = {x is a member of Rn | -x(1)2+x(2)2 + ... + x(n)2 = 0, x(1) > 0}. The group G := SO(0)(1, n-1) acts through its natural action on Rn on C. This action of G induces an action of G on the differential forms of degree one. In this paper we describe the composition series of G-invariant subspaces of these differential forms that are homogeneous along rays of the cone.
Document type Article
Note Proceedings title: Lie Theory and Its Applications in Physics VII: Proceedings of the VII international workshop, Varna, Bulgaria, 18-24 June 2007 Publisher: Heron Press Place of publication: Sofia ISBN: 978-954-580-240-9 Editors: H.-D. Doebner, V.K. Dobrev
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