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Okubo's quartic trace formula for exceptional Lie algebras

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Publication:1055537
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DOI10.1016/0021-8693(83)90079-0zbMath0521.17007OpenAlexW2049519056WikidataQ115367153 ScholiaQ115367153MaRDI QIDQ1055537

Kurt Meyberg

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90079-0


zbMATH Keywords

irreducible representationtrace formulasimple Lie algebraexceptional Lie algebraKilling formcharacteristic zero


Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Simple, semisimple, reductive (super)algebras (17B20)


Related Items

A class of continuous non-associative algebras arising from algebraic groups including ⋮ On characteristic equations, trace identities and Casimir operators of simple Lie algebras ⋮ LIE ALGEBRA AND INVARIANT TENSOR TECHNOLOGY FOR g2 ⋮ DEVELOPMENT OF A UNIFIED TENSOR CALCULUS FOR THE EXCEPTIONAL LIE ALGEBRAS



Cites Work

  • Unnamed Item
  • Flexible Lie-admissible algebras
  • The classes and representations of the groups of 27 lines and 28 bitangents
  • Semisimple subalgebras of semisimple Lie algebras
  • Higher indices of group representations
  • Quartic trace identity for exceptional Lie algebras
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