Classification of Z-graded real semisimple Lie algebras

DOI10.1016/0021-8693(82)90220-4zbMath0486.17006OpenAlexW2104498464WikidataQ115367181 ScholiaQ115367181MaRDI QIDQ1164696

Dragomir Ž. Djoković

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90220-4

zbMATH Keywords

semisimple Lie algebralocally flat real Lie algebrasZ-grading

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (14)

Bi-isotropic decompositions of semisimple Lie algebras and homogeneous bi-Lagrangian manifolds ⋮ On conformal pseudo-subriemannian fundamental graded Lie algebras of semisimple type ⋮ Homogeneous models for Levi degenerate CR manifolds ⋮ A NOTE ON ÉTALE REPRESENTATIONS FROM NILPOTENT ORBITS ⋮ Semisimple symmetric contact spaces ⋮ Regular subalgebras and nilpotent orbits of real graded Lie algebras ⋮ On a class of symmetric CR manifolds ⋮ Maximally homogeneous para-CR manifolds ⋮ Proper actions of \(\mathrm{SL}(2,\mathbb R)\) on semisimple symmetric spaces ⋮ Classification of simple linearly compact Kantor triple systems over the complex numbers ⋮ Involutive automorphisms and Iwasawa decomposition of some hyperbolic Kac–Moody algebras ⋮ Classification of semisimple Levi-Tanaka algebras ⋮ Inner ideals of real simple Lie algebras ⋮ Finite \(\mathbb Z\)-gradings of Lie algebras and symplectic involutions.

Cites Work

• On representations and compactifications of symmetric Riemannian spaces
• Some remarks on nilpotent orbits
• On convexity, the Weyl group and the Iwasawa decomposition
• Classes of unipotent elements in simple algebraic groups. I
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