On the generators of semisimple Lie algebras

DOI10.1016/0024-3795(76)90033-1zbMath0358.17014OpenAlexW2064200791WikidataQ115364369 ScholiaQ115364369MaRDI QIDQ5905933

Tudor Ionescu

Publication date: 1976

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(76)90033-1

Mathematics Subject Classification ID

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

Related Items (20)

Generators of simple Lie algebras in arbitrary characteristics ⋮ On the number of matrices to generate a matrix \(\ast\)-algebra over the real field ⋮ Lattice isomorphisms of Malcev algebras ⋮ On the nullity of Lie algebras ⋮ On the generators of semisimple Lie algebras ⋮ Generating semisimple groups by tori ⋮ On the generators of Lie superalgebras ⋮ Thompson-like characterizations of the solvable radical. ⋮ Pairing problem of generators in Kac-Moody algebras ⋮ 2-generation of simple Lie algebras and free dense subgroups of algebraic groups ⋮ On nilpotent generators of the Lie algebra \(\mathfrak{sl}_n\) ⋮ The minimal number of generators for finite-dimensional Cartan Lie superalgebras ⋮ Generators of simple infinite-dimensional Lie superalgebras of vector fields ⋮ Generators of Simple Modular Lie Superalgebras ⋮ Lattice isomorphisms of Lie algebras ⋮ Pairs of generators for compact real forms of the classical Lie algebras ⋮ CHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICAL ⋮ Unnamed Item ⋮ On nilpotent generators of the symplectic Lie algebra ⋮ A sufficient condition for pairing problem of generators in symmetrizable Kac--Moody algebras

Cites Work

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• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Lie Group Representations on Polynomial Rings
• Orbits and Representations Associated with Symmetric Spaces
• On Everywhere Dense Imbedding of Free Groups in Lie Groups

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