Embedding Q-deformed Heisenberg algebras into undeformed ones

Abstract

Any deformation of a Weyl or Clifford algebra can be realized through some change of generators in the undeformed algebra. Here we briefly describe and motivate our systematic procedure for constructing all such changes of generators for those particular deformations where the original algebra is covariant under some Lie group and the deformed algebra is covariant under the corresponding quantum group.

On q-Deformations of Clifford Algebras

“…'s [7]) to answer the latter questions for arbitrary 'q-deformed Clifford algebras'. Incidentally, the approach works not only for Clifford, but also for q-deformed Weyl algebras.…”

“…In this report we shall present a systematic approach, based partly on the works [6,5,4] (see also Ref. 's [7]) to answer the latter questions for arbitrary 'q-deformed Clifford algebras'. Incidentally, the approach works not only for Clifford, but also for q-deformed Weyl algebras.…”