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