Mathematics – Quantum Algebra
Scientific paper
1999-04-26
Mathematics
Quantum Algebra
52 pages, LaTeX. Modified proof of the central theorem and updated references included. Accepted for publication in Journal of
Scientific paper
This is the central article of a series of three papers on cross product bialgebras. We present a universal theory of bialgebra factorizations (or cross product bialgebras) with cocycles and dual cocycles. We also provide an equivalent (co-)modular co-cyclic formulation. All known examples as for instance bi- or smash, doublecross and bicross product bialgebras as well as double biproduct bialgebras and bicrossed or cocycle bicross product bialgebras are now united within a single theory. Furthermore our construction yields various novel types of cross product bialgebras.
Bespalov Yuri
Drabant Bernhard
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