Linear semisimple Lie algebras containing an operator with small number of eigenvalues

DOI10.1007/BF01195020zbMath0592.17007OpenAlexW2005625827MaRDI QIDQ1075417

Yuri G. Zarhin

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195020

zbMATH Keywords

eigenvalueshighest weightmultiplicitiessimple Lie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (3)

Transcendental Hodge algebra ⋮ Hodge classes and Tate classes on simple abelian fourfolds ⋮ On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups.

Cites Work

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• A characterization of the classical groups
• Continuous cohomology and \(p\)-adic Galois representations
• Lie algebras of Galois groups arising from Hodge-Tate modules
• Hodge groups of K3 surfaces.

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