Two-parameter quantum groups and quantum planes

Details Two-parameter quantum groups and quantum planes Two-parameter quantum groups and quantum planes

1996-06-29

arxiv.org/abs/q-alg/9606024v1

J. Korean Phys. Soc. 29 (1996) 279-283

Mathematics

Quantum Algebra

Latex, 14 pages with no figure

Scientific paper

Usually the generators of a quantum group are assumed to be commutative with
the noncommuting coordinates of a quantum plane. We have relaxed the assumption
and investigated its consequences. Not only does a two-parameter quantum group
arise naturally, but also the formulation leads us to many probable quantum
planes associated with a quantum group. Several examples are presented.

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