English

Non-commutative Euclidean and Minkowski Structure

q-alg 2008-02-03 v1 Quantum Algebra

Abstract

A noncommutative *-algebra that generalizes the canonical commutation relations and that is covariant under the quantum groups SOq(3) or SOq(1,3) is introduced. The generating elements of this algebra are hermitean and can be identified with coordinates, momenta and angular momenta. In addition a unitary scaling operator is part of the algebra.

Keywords

Cite

@article{arxiv.q-alg/9702025,
  title  = {Non-commutative Euclidean and Minkowski Structure},
  author = {A. Lorek and W. Weich and J. Wess},
  journal= {arXiv preprint arXiv:q-alg/9702025},
  year   = {2008}
}

Comments

36 pages, amstex