Non-commutative Euclidean and Minkowski Structure

Details Non-commutative Euclidean and Minkowski Structure Non-commutative Euclidean and Minkowski Structure

1997-02-20

arxiv.org/abs/q-alg/9702025v1

Mathematics

Quantum Algebra

36 pages, amstex

Scientific paper

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.

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