Some forms of Kac-Moody algebras

DOI10.1016/0021-8693(92)90208-4zbMath0763.17022OpenAlexW2056293448MaRDI QIDQ1188142

Nicolás Andruskiewitsch

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90208-4

zbMATH Keywords

real formsquaternion algebrasthree-dimensional simple Lie algebraconstruction by generators and relationsglueing togethersymmetric invariant bilinear formsymmetrizable Kac-Moody algebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (5)

Some exceptional compact matrix pseudogroups ⋮ Classification of almost compact real forms of affine Kac-Moody algebras ⋮ On the realization of forms of affine Kac-Moody algebras ⋮ Finite order automorphisms and real forms of affine Kac-Moody algebras in the smooth and algebraic category ⋮ The representation theory of inner almost compact forms of Kac-Moody algebras

Cites Work

• A classification of involutive automorphisms of an affine Kac-Moody Lie algebra
• The arithmetic theory of loop groups
• Tits' systems with crystallographic Weyl groups
• Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle.
• Generators and relations for real forms of some kac-moody lie algebras
• On defining relations of certain infinite-dimensional Lie algebras
• Infinite flag varieties and conjugacy theorems
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