A Generalization of Extended Affine Lie Algebras

DOI10.1080/00927870701545085zbMath1132.17012arXivmath/0702070OpenAlexW2136992437MaRDI QIDQ5436341

Malihe Yousofzadeh

Publication date: 14 January 2008

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

Full work available at URL: https://arxiv.org/abs/math/0702070

zbMATH Keywords

extended affine Lie algebraroot graded Lie algebra

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (1)

ROOT SYSTEMS ARISING FROM AUTOMORPHISMS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extended affine Lie algebras and their vertex representations
• Extended affine root systems. I: Coxeter transformations
• Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy
• Structurable tori and extended affine Lie algebras of type BC\(_{1}\).
• Covering algebras. I: Extended affine Lie algebras
• Classification and construction of quasisimple Lie algebras
• Extended affine root system. IV: Simply-laced elliptic Lie algebras
• Coordinate algebras of extended affine Lie algebras of type \(A_1\)
• A Serre-type theorem for the elliptic Lie algebras with rank \(\geq 2\)
• Quantum tori and the structure of elliptic quasi-simple Lie algebras
• Lie algebras graded by finite root systems and intersection matrix algebras
• Derivations and Invariant Forms of Lie Algebras Graded by Finite Root Systems
• Construction of extended affine lie algebras by the twisting process
• The Alternative Torus and the Structure of Elliptic Quasi-Simple Lie Algebras of Type A 2
• Introduction to Lie Algebras and Representation Theory
• The root system and the core of an extended affine Lie algebra.

This page was built for publication: A Generalization of Extended Affine Lie Algebras