Degeneration, rigidity and irreducible components of Hopf algebras

Mathematics – Rings and Algebras

Scientific paper

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12 pages

Scientific paper

The aim of this work is to discuss the concepts of degeneration, deformation
and rigidity, and to apply them to the geometric study of the varieties of Hopf
algebras. The main result is the description of the n-dimensional rigid Hopf
algebras and the irreducible components for n=p^2, p prime and for n<14.

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