Computer construction of split Cartan subalgebras

DOI10.1016/j.jalgebra.2006.04.038zbMath1172.17001OpenAlexW1992415814MaRDI QIDQ875096

Alexander J. E. Ryba

Publication date: 11 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.04.038

zbMATH Keywords

polynomial time algorithmsChevalley Lie algebrassplit Cartan subalgebras

Mathematics Subject Classification ID

Lie algebras of linear algebraic groups (17B45) Software, source code, etc. for problems pertaining to nonassociative rings and algebras (17-04)

Related Items (5)

Tensor isomorphism by conjugacy of Lie algebras ⋮ Algorithmic construction of Chevalley bases ⋮ Computing Chevalley bases in small characteristics ⋮ Construction of Some Irreducible Subgroups of E₈ and E₆ ⋮ Determinant Equivalence Test over Finite Fields and over Q

Cites Work

• On the number of matrices with given characteristic polynomial
• Automorphisms of classical Lie algebras
• Identification of matrix generators of a Chevalley group.
• Embeddings of \(\text{SL}(2,27)\) in complex exceptional algebraic groups.
• A New Algorithm for Factoring Polynomials Over Finite Fields
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