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Cross Product Bialgebras Part II

✍ Scribed by Yuri Bespalov; Bernhard Drabant

Book ID
102968144
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
560 KB
Volume
240
Category
Article
ISSN
0021-8693

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Cross Product Bialgebras, I
Cross Product Bialgebras, I
✍ Yuri Bespalov; Bernhard Drabant πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 294 KB

The subject of this article is bialgebra factorizations or cross product bialgebras without cocycles. We establish a theory characterizing cross product bialgebras universally in terms of projections and injections. Especially all known types of biproduct, double cross product, and bicross product b

The Crossing part II
The Crossing part II
✍ Kelley, Todd πŸ“‚ Fiction 🌐 English βš– 19 KB
Free Products of Units in Algebras. II.
Free Products of Units in Algebras. II. Crossed Products
✍ Jairo Z. GonΓ§alves; Arnaldo Mandel; Mazi Shirvani πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 195 KB

We investigate the problem of explicitly constructing non-cyclic free groups in finite-dimensional crossed products using valuation criteria. The results are applied to produce explicit free groups in division algebras generated by nilpotent groups, and symmetric free groups in group rings of finite