2 8 Ju n 20 00 Classification of Left - Covariant Differential Calculi on the Quantum Group SL q ( 2 ) ∗
نویسنده
چکیده
For transcendental values of q the quantum tangent spaces of all left-covariant first order differential calculi of dimension less than four on the quantum group SLq(2) are given. All such differential calculi Γ are determined and investigated for which the left-invariant differential one-forms ω(u2), ω(u 2 1) and ω(u 1 1 − u 2 2) generate Γ as a bimodule and the universal higher order differential calculus has the same dimension as in the classical case. Important properties (cohomology spaces, ∗structures, braidings, generalized Lie brackets) of these calculi are examined as well. MSC (1991): 17B37, 46L87, 81R50
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