Bialgebroids, $\times_{A}$-bialgebras and duality

Details Bialgebroids, $\times_{A}$-bialgebras and duality Bialgebroids, $\times_{A}$-bialgebras and duality

2000-12-18

arxiv.org/abs/math/0012164v2

Mathematics

Quantum Algebra

16 pages, LaTeX; more concise presentation; Theorem 4.1 improved; final version to appear in J. Algebra

Scientific paper

An equivalence between Lu's bialgebroids, Xu's bialgebroids with an anchor
and Takeuchi's $\times_{A}$-bialgebras is explicitly proven. A new class of
examples of bialgebroids is constructed. A (formal) dual of a bialgebroid,
termed bicoalgebroid, is defined. A weak Hopf algebra is shown to be an example
of such a bicoalgebroid.

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