✦ LIBER ✦

QuantumE(2) group and its Pontryagin dual

✍ Scribed by S. L. Woronowicz

Publisher: Springer
Year: 1991
Tongue: English
Weight: 517 KB
Volume: 23
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00398822

No coin nor oath required. For personal study only.

✦ Synopsis

The quantum deformation of the group of motions of the plane and its Pontryagin dual are described in detail. It is shown that the Pontryagin dual is a quantum deformation of the group of transformations of the plane generated by translations and dilations. An explicit expression for the unitary bicharacter describing the Pontryagin duality is found. The Heisenberg commutation relations are written down.

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