A differential calculus on the quantum groupSU
q
(2) comparible with the gauge-transformation structure |
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Authors: | D G Pak |
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Institution: | (1) Tashkent State University, Tashkent, Republic of Uzbekistan |
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Abstract: | We consider a three-dimensional bicovariant differential calculus on the quantum group SUq(2) that is compatible with the structure of gauge transformations. In the approach based on the global covariance with respect
to the stability subgroup U(1), we show that the gauge-covariant exterior differential algebra on SUq(2) is uniquely determined. We construct explicit representations of q-deformed Lie algebras in terms of differential operators.
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 116, No. 2, pp. 265–276, August. 1998. |
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Keywords: | |
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