QUANTIZATIONS OF FLAG MANIFOLDS AND CONFORMAL SPACE-TIME

Authors
Citation
R. Fioresi, QUANTIZATIONS OF FLAG MANIFOLDS AND CONFORMAL SPACE-TIME, Reviews in mathematical physics, 9(4), 1997, pp. 453-465
Citations number
13
Categorie Soggetti
Physycs, Mathematical
ISSN journal
0129055X
Volume
9
Issue
4
Year of publication
1997
Pages
453 - 465
Database
ISI
SICI code
0129-055X(1997)9:4<453:QOFMAC>2.0.ZU;2-X
Abstract
In this paper we work out the deformations of some flag manifolds and of complex Minkowski space viewed as an affine big cell inside G(2,4). All the deformations come in tandem with a coaction of the appropriat e quantum group. In the case of the Minkowski space this allows us to define the quantum conformal group. We also give two involutions on th e quantum complex Minkowski space, that respectively define the real M inkowski space and the real euclidean space. We also compute the quant um De Rham complex for both real (complex) Minkowski and euclidean spa ce.