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arXiv · 1508.05230

Fine gradings on simple exceptional Jordan pairs and triple systems

Diego Aranda-Orna
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Abstract

We give a classification up to equivalence of the fine group gradings by abelian groups on the Jordan pairs and triple systems of types bi-Cayley and Albert, under the assumption that the base field is algebraically closed of characteristic different from $2$. The associated Weyl groups are computed. We also determine, for each fine grading on the bi-Cayley and Albert pairs, the induced grading on the exceptional simple Lie algebra given by the Tits-Kantor-Koecher construction.

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Diego Aranda-Orna. 2017-08-22. Fine gradings on simple exceptional Jordan pairs and triple systems. https://arxiv.org/abs/1508.05230

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