Q-EUCLIDEAN SPACE AND QUANTUM WICK ROTATION BY TWISTING

Authors
Citation
S. Majid, Q-EUCLIDEAN SPACE AND QUANTUM WICK ROTATION BY TWISTING, Journal of mathematical physics, 35(9), 1994, pp. 5025-5034
Citations number
21
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00222488
Volume
35
Issue
9
Year of publication
1994
Pages
5025 - 5034
Database
ISI
SICI code
0022-2488(1994)35:9<5025:QSAQWR>2.0.ZU;2-S
Abstract
The quantum matrix algebra R(21)x(1)x(2)=x(2)x(1)R is studied and prop osed for the standard 2X2 case as the coordinates of q-deformed Euclid ean space. The algebra in this simplest case is isomorphic to the usua l quantum matrices M(q)(2) but in a form which is naturally covariant under the Euclidean rotations SUq(2)circle times SUq(2). A quantum Wic k rotation is introduced that twists this system precisely into the ap proach to q-Minkowski space based on braided matrices and their associ ated spinorial q-Lorentz group.