Inner ideals of real simple Lie algebras
DOI10.1007/s40840-022-01321-0OpenAlexW4285800365MaRDI QIDQ2082387
Jeroen Meulewaeter, Cristina Draper Fontanals
Publication date: 4 October 2022
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.09351
modelssimple Lie algebraexceptional Lie algebrastructurable algebrasinner idealsincidence geometriesextremal elements
Exceptional (super)algebras (17B25) Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Root systems (17B22)
Cites Work
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- Inner ideals of simple locally finite Lie algebras
- Extremal elements in Lie algebras, buildings and structurable algebras
- Root shadow spaces
- Models of the Lie algebra \(F_4\)
- Simple Lie algebras having extremal elements
- Classification of Z-graded real semisimple Lie algebras
- Buildings of spherical type and finite BN-pairs
- The Lie inner ideal structure of associative rings
- A class of nonassociative algebras with involution containing the class of Jordan algebras
- A geometric characterization of the classical Lie algebras
- An example of a simple structurable algebra
- On the geometry of inner ideals
- Inner ideals in Lie algebras and spherical buildings
- Root filtration spaces from Lie algebras and abstract root groups
- Gradings on the real form 𝔢6,−26
- A Note on a Result of Kostrikin
- The Lie Inner Ideal Structure of Associative Rings Revisited
- Tensor Products of Composition Algebras, Albert Forms and Some Exceptional Simple Lie Algebras
- Models of isotropic simple lie algebras
- On Inner Ideals and Ad-Nilpotent Elements of Lie Algebras
- Gradings on the real form e6,−14
- Jordan Structures in Lie Algebras
- Fine gradings on the simple Lie algebras of type $E$
- A Construction of Gradings of Lie Algebras
- Inner Ideals in Quadratic Jordan Algebras
- On the Real Forms of the Exceptional Lie Algebra 𝔢 6 $$\mathfrak{e}_{6}$$ and Their Satake Diagrams
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