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An algorithm for the decomposition of semisimple Lie algebras

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Publication:1389624
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DOI10.1016/S0304-3975(97)00060-1zbMath0952.17001OpenAlexW2129993182MaRDI QIDQ1389624

Willem A. De Graaf

Publication date: 30 June 1998

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-3975(97)00060-1


zbMATH Keywords

algorithmLie algebraCartan subalgebradirect sum decompositionEindhoven Lie algebra systemlibrary ELIAS


Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Simple, semisimple, reductive (super)algebras (17B20) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)


Related Items (1)

Calculating the structure of a semisimple Lie algebra


Uses Software

  • ELIAS
  • CANONIK



Cites Work

  • On the identification of a Lie algebra given by its structure constants. I: Direct decompositions, Levi decompositions, and nilradicals
  • Computing Cartan subalgebras of Lie algebras
  • Introduction to Lie Algebras and Representation Theory




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