I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1997, VOLUME 3, NUMBER 2, PAGES 549-577
M. F. Sadykov
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In the present paper differential calculi on quantum groups are studied, following S. L. Woronowisz. A non-existence of bicovariant differential calculi on the standard quantizations of simple algebraic groups is proved, ground field is taken to be
$\mathcal K=k(q)$. Left-covariant differential calculus on $SL_q(2)$is constructed and homology of algebra $U_q(sl(2))$with coefficients in finite-dimensional modules is computed.
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Last modified: January 13, 2000