Maximal abelian subgroups of compact simple Lie groups of type E

DOI10.1007/s10711-016-0175-zzbMath1397.22006arXiv1403.2680OpenAlexW2963665565MaRDI QIDQ2520780

Jun Yu

Publication date: 16 December 2016

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.2680

zbMATH Keywords

symplectic metric spaceJordan subgroupmaximal abelian subgroupalmost commuting tupleelementary abelian \(p\)-subgroupisolated automorphismKac coordinateSteinberg's theoremsymplectic abelian group

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Subgroup theorems; subgroup growth (20E07) Compact groups (22C05) General properties and structure of real Lie groups (22E15)

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Group gradings on the superalgebras \(M(m,n)\), \(A(m,n)\) and \(P(n)\), Gradings on classical central simple real Lie algebras, Gradings on the real form e6,−14, Gradings on the simple real Lie algebras of types \(G_2\) and \(D_4\), Fine gradings on simple exceptional Jordan pairs and triple systems, Gradings on modules over Lie algebras of E types, Graded modules over simple Lie algebras, Gradings on the Lie algebra \(D_4\) revisited, Graded simple Lie algebras and graded simple representations, Gradings on semisimple algebras, Gradings on the real form 𝔢6,−26, An overview of ne gradings on simple Lie algebras

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