Weyl groups of fine gradings on matrix algebras, octonions and the Albert algebra.

DOI10.1016/j.jalgebra.2012.05.008zbMath1267.16037arXiv1009.1462OpenAlexW2136277256MaRDI QIDQ1939295

Alberto Elduque, Mikhail Kochetov

Publication date: 4 March 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.1462

zbMATH Keywords

Weyl groupsgraded algebrasoctonionsAlbert algebrafine gradings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Exceptional Jordan structures (17C40) Graded Lie (super)algebras (17B70) Graded rings and modules (associative rings and algebras) (16W50) Alternative rings (17D05) Nonassociative division algebras (17A35)

Related Items (7)

Fine gradings and automorphism groups on associative algebras ⋮ Fine gradings on simple exceptional Jordan pairs and triple systems ⋮ Weyl groups of some fine gradings on \(\mathfrak{e}_6\) ⋮ Groups of central-type, maximal connected gradings and intrinsic fundamental groups of complex semisimple algebras ⋮ Fine gradings and their Weyl groups for twisted Heisenberg Lie superalgebras ⋮ Gradings and symmetries on Heisenberg type algebras ⋮ COUNTING FINE GRADINGS ON MATRIX ALGEBRAS AND ON CLASSICAL SIMPLE LIE ALGEBRAS

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