q-LIE ALGEBRA IN TERMS OF DIFFERENTIAL OPERATORS

نویسنده

  • D. G. Pak
چکیده

A three-dimensional q-Lie algebra of SUq(2) is realized in terms of firstand second-order differential operators. Starting from the q-Lie algebra one has constructed a left-covariant differential calculus on the quantum group. The proposed construction is inverse to the standard Woronowicz approach; the left-invariant vector fields are introduced as initial objects whereas the differential 1-forms are defined in a dual manner. ∗E-mail: [email protected]

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تاریخ انتشار 1995