Gradings on Algebras over Algebraically Closed Fields

DOI10.1007/978-3-319-32902-4_7zbMath1419.17008arXiv1407.0480OpenAlexW1552578502MaRDI QIDQ5738735

Alberto Elduque

Publication date: 12 June 2017

Published in: Non-Associative and Non-Commutative Algebra and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0480

zbMATH Keywords

graded Lie algebragradingautomorphism group schemeMargaux theorem

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Group schemes (14L15) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (11)

Fine gradings and automorphism groups on associative algebras ⋮ 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 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 ⋮ An overview of ne gradings on simple Lie algebras

Cites Work

• Unnamed Item
• Fine gradings on simple classical Lie algebras
• Vanishing of Hochschild cohomology for affine group schemes and rigidity of homomorphisms between algebraic groups.
• On Lie gradings. I
• On Lie gradings. II
• On the dimension datum of a subgroup and its application to isospectral manifolds
• Fine gradings on \(\mathfrak e_6\)

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