The structure of locally finite split Lie algebras

DOI10.1006/jabr.1999.7978zbMath1027.17019OpenAlexW2005557283WikidataQ115395801 ScholiaQ115395801MaRDI QIDQ1818878

Nina Stumme

Publication date: 23 February 2004

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7978

zbMATH Keywords

root systemmaximal Abelian subalgebralocally finite Lie algebrasgeneralized Levi decompositionlocally finite split Lie algebraweight space decomposition

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Infinite-dimensional Lie (super)algebras (17B65) Root systems (17B22)

Related Items (48)

Arbitrary algebras with a multiplicative basis ⋮ A Note on Strongly Graded Lie Algebras ⋮ On Locally Finite Split Lie Triple Systems ⋮ RETRACTED ARTICLE: Split Malcev-Poisson-Jordan algebras ⋮ On simple split Lie triple systems ⋮ On split Lie triple systems ⋮ On involutive Lie algebras having a Cartan decomposition ⋮ On integrable roots in split Lie triple systems ⋮ Split 3-Leibniz algebras ⋮ On split Lie triple systems. II ⋮ On extended graded Poisson algebras ⋮ On split Leibniz superalgebras ⋮ A note on strongly split Lie algebras ⋮ Split Lie algebras of order 3 ⋮ n-Algebras admitting a multiplicative basis ⋮ Central extensions of root graded Lie algebras ⋮ On graded associative algebras. ⋮ Graded extended Lie-type algebras ⋮ Poisson color algebras of arbitrary degree ⋮ The classification of locally finite split simple Lie algebras ⋮ On the structure of split Lie color algebras ⋮ Arbitrary triple systems admitting a multiplicative basis ⋮ Lie algebras with a set grading ⋮ Integrable roots in split graded Lie algebras ⋮ On the structure of split involutive Lie algebras ⋮ Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey ⋮ On split Lie algebras with symmetric root systems ⋮ ON THE STRUCTURE OF GRADED LIE SUPERALGEBRAS ⋮ WEIGHT MODULES OVER SPLIT LIE ALGEBRAS ⋮ Strongly Split Poisson Algebras ⋮ On the structure of graded Lie algebras ⋮ Locally extended affine Lie algebras ⋮ On split Lie color triple systems ⋮ On split Malcev Poisson algebras ⋮ On the structure of split non-commutative Poisson algebras ⋮ Towards a Lie theory of locally convex groups ⋮ Locally loop algebras and locally affine Lie algebras ⋮ A new characterization of Kac–Moody–Malcev superalgebras ⋮ Split regular Hom-Leibniz color 3-algebras ⋮ The structure of locally finite split Lie algebras ⋮ On split Leibniz algebras ⋮ On the Structure of Graded Leibniz Algebras ⋮ Leibniz superalgebras with a set grading ⋮ The Core of a Locally Extended Affine Lie Algebra ⋮ (ANTI)COMMUTATIVE ALGEBRAS WITH A MULTIPLICATIVE BASIS ⋮ On split twisted inner derivation triple systems with no restrictions on their 0-root spaces ⋮ Split 3-Lie algebras ⋮ On split Lie superalgebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unitary highest weight representations in Hilbert spaces of holomorphic functions on infinite dimensional domains
• Holomorphy and convexity in Lie theory
• The structure of locally finite split Lie algebras
• Some examples of locally finite simple Lie algebras
• Les sous-groupes fermes de rang maximum des groupes de Lie clos
• The classification of locally finite split simple Lie algebras
• Hilbert Space Methods in the Theory of Lie Algebras
• Cartan Decompositions for L ∗ -Algebras
• Holomorphic highest weight representations of infinite dimensional complex classical groups
• ON THE DEGREE OF RATIONAL APPROXIMATION OF MEROMORPHIC FUNCTIONS
• Introduction to Lie Algebras and Representation Theory

This page was built for publication: The structure of locally finite split Lie algebras