2003/01/18 by Cyril Grunspan, C. Grunspan, Grunspan, C.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.QA #math.RA #msc:16W30
paper · pdf · doi:10.48550/arxiv.math/0301195
16 pages
arxiv created 2003/01/18 · arxiv updated 2009/11/30
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.