DOI 10.1007/s100529800960
q-deformed Lorentz-algebra in Minkowski phase space
M. Rohregger1 - J. Wess2,3
1 Physiologisches Institut der Ludwig-Maximilians-Universität,
Pettenkoferstr. 12, D-80336 München
2 Sektion Physik der Ludwig-Maximilians-Universität,
Theresienstr. 37, D-80333 München
3 Max-Planck-Institut für Physik,
(Werner-Heisenberg-Institut), Föhringer Ring 6, D-80805 München
Received: 12 June 1998 / Published online: 5 October 1998
Abstract
In the present paper we show that the Lorentz algebra
as defined in [#!oschmi!#] is isomorphic to an algebra
closely related to a q-deformed
algebra. On this algebra
we define a
Hopf algebra structure and show its action on q-spinor modules.
This algebra is related to the q-deformed Minkowski space
algebra by a non invertible factorisation.
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