Hopf-Galois systems and Kashiwara algebras

Details Hopf-Galois systems and Kashiwara algebras Hopf-Galois systems and Kashiwara algebras

2003-01-18

arxiv.org/abs/math/0301195v1

Mathematics

Rings and Algebras

16 pages

Scientific paper

This article is made up with two parts. In the first part, we generalize to
the case when objects are faithfully flat over the ground ring, the full
equivalence between the notions of Hopf-Galois extension and Hopf-Galois
system. In the second part of the article, we show that the Kashiwara algebras
introduced by Kashiwara in his study of crystal bases are Hopf-Galois objects.

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