Construction of extended affine lie algebras by the twisting process

DOI10.1080/00927870008826991zbMath0972.17014OpenAlexW1978369929MaRDI QIDQ4487353

Saeid Azam

Publication date: 16 November 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008826991

zbMATH Keywords

root systemsextended affine Lie algebrasrealization of EALAstwisting process

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (11)

ROOT SYSTEMS ARISING FROM AUTOMORPHISMS ⋮ Lie tori -- a simple characterization of extended affine Lie algebras ⋮ Lie Tori and Their Fixed Point Subalgebras ⋮ Toroidal vertex algebras and their modules ⋮ A realization approach to extended affine Lie superalgebras ⋮ Extended affine Lie superalgebras and their affinizations ⋮ Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey ⋮ Fixed point subalgebras of extended affine Lie algebras ⋮ A Generalization of Extended Affine Lie Algebras ⋮ Direct Unions of Lie Tori (Realization of Locally Extended Affine Lie Algebras) ⋮ The Core of a Locally Extended Affine Lie Algebra

Cites Work

• Unnamed Item
• Extended affine root systems. I: Coxeter transformations
• The degeneracy of extended affine Lie algebras
• Classification and construction of quasisimple Lie algebras
• Quantum tori and the structure of elliptic quasi-simple Lie algebras
• Nonreduced extended affine root systems of nullity 3
• The Alternative Torus and the Structure of Elliptic Quasi-Simple Lie Algebras of Type A 2
• The root system and the core of an extended affine Lie algebra.

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