Vogan diagrams of real forms of affine Kac-Moody Lie algebras

DOI10.1006/jabr.2001.9118zbMath1026.17027OpenAlexW2051041371WikidataQ115395657 ScholiaQ115395657MaRDI QIDQ1614644

Punita Batra

Publication date: 8 September 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9118

Mathematics Subject Classification ID

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

Related Items (10)

A quick proof on the equivalence classes of extended Vogan diagrams ⋮ Equivalence classes of Vogan diagrams ⋮ Admissible positive systems of affine Kac-Moody Lie algebras: the twisted cases ⋮ Affine Vogan diagrams and symmetric pairs ⋮ VOGAN DIAGRAMS OF UNTWISTED AFFINE KAC–MOODY SUPERALGEBRAS ⋮ Double Vogan diagrams and semisimple symmetric spaces ⋮ The edge-flipping group of a graph ⋮ Extended Vogan diagrams ⋮ The flipping puzzle on a graph ⋮ Admissible positive systems of affine non-twisted Kac-Moody Lie algebras

Cites Work

• Automorphisms of finite order of the affine Lie algebra \(A_{\ell}^{(1)}\)
• A classification of involutive automorphisms of an affine Kac-Moody Lie algebra
• On automorphisms of Kac-Moody algebras and groups
• The arithmetic theory of loop algebras
• Almost split forms of Kac-Moody algebras: classification and relative roots
• Classification of almost compact real forms of affine Kac-Moody algebras
• Invariants of real forms of affine Kac-Moody Lie algebras
• A quick proof of the classification of simple real Lie algebras
• Infinite flag varieties and conjugacy theorems
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