FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1997, VOLUME 3, NUMBER 2, PAGES 549-577
M. F. Sadykov
Abstract
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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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