Drinfel'd Twist and qDeforming Maps for Lie Group Covariant Heisenberg Algebrae
Abstract
Any deformation of a Weyl or Clifford algebra can be realized through a change of generators in the undeformed algebra. qdeformations of Weyl or Clifford algebrae that were covariant under the action of a simple Lie algebra g are characterized by their being covariant under the action of the quantum group U_{h}g, q:=e^{h}. We present a systematic procedure for determining all possible corresponding changes of generators, together with the corresponding realizations of the U_{h}gaction. The intriguing relation between ginvariants and U_{h}ginvariants suggests that these changes of generators might be employed to simplify the dynamics of some gcovariant quantum physical systems.
 Publication:

Reviews in Mathematical Physics
 Pub Date:
 2000
 DOI:
 10.1142/S0129055X00000125
 arXiv:
 arXiv:qalg/9708017
 Bibcode:
 2000RvMaP..12..327F
 Keywords:

 Mathematics  Quantum Algebra
 EPrint:
 latex file, 35 pages, no figures. Final version to appear in Rev. Math. Phys