Lie algebras attached to Clifford modules and simple graded Lie algebras

zbMath1422.17012arXiv1712.08890MaRDI QIDQ4583917

Irina Markina, Tohru Morimoto, Alexander Vasil'ev, Mauricio Godoy Molina, Kenro Furutani

Publication date: 28 August 2018

Full work available at URL: https://arxiv.org/abs/1712.08890

zbMATH Keywords

graded Lie algebrasroot systemClifford algebrasimple Lie algebrasDynkin diagramparabolic subalgebrasH-type algebranon-degenerate bilinear form

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exceptional (super)algebras (17B25) Semisimple Lie groups and their representations (22E46) Root systems (17B22)

Related Items (5)

Fundamental solutions of a class of ultra-hyperbolic operators on pseudo \(H\)-type groups ⋮ Prolongations, invariants, and fundamental identities of geometric structures ⋮ On some classes of \(\mathbb{Z}\)-graded Lie algebras ⋮ Automorphism groups of pseudo \(H\)-type algebras ⋮ Editorial. Dedication to Alexander Vasil'ev (1962--2016)

Uses Software

• DifferentialGeometry

Cites Work

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