Covering algebras. I: Extended affine Lie algebras

DOI10.1006/jabr.2001.9112zbMath1002.17010arXivmath/0103133OpenAlexW1983401874WikidataQ115395664 ScholiaQ115395664MaRDI QIDQ1604356

Arturo Pianzola, Stephen Berman, Bruce N. Allison

Publication date: 4 July 2002

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

Full work available at URL: https://arxiv.org/abs/math/0103133

zbMATH Keywords

root systemsextended affine Lie algebrasaffinization

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items (13)

Reflection systems and partial root systems ⋮ Toroidal vertex algebras and their modules ⋮ A realization approach to extended affine Lie superalgebras ⋮ Multiloop algebras, iterated loop algebras and extended affine Lie algebras of nullity 2 ⋮ Extended affine Lie superalgebras and their affinizations ⋮ Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey ⋮ Galois cohomology and forms of algebras over Laurent polynomial rings ⋮ Thin coverings of modules ⋮ Fixed point subalgebras of extended affine Lie algebras ⋮ A Generalization of Extended Affine Lie Algebras ⋮ Integral structures in extended affine Lie algebras ⋮ Groups of extended affine Lie type ⋮ Fgc extended affine Lie algebras as fixed point subalgebras

Cites Work

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• Quantum tori and the structure of elliptic quasi-simple Lie algebras
• From Dynkin diagram symmetries to fixed point structures
• Automorphisms of finite order of semisimple Lie algebras
• On semi-simple automorphisms of Lie algebras
• Extended affine Lie algebras and their root systems
• Infinite flag varieties and conjugacy theorems
• The Alternative Torus and the Structure of Elliptic Quasi-Simple Lie Algebras of Type A 2
• Euclidean Lie Algebras
• The root system and the core of an extended affine Lie algebra.

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