Groups of extended affine Lie type

DOI10.4171/PRIMS/55-3-5zbMath1471.17044arXiv1908.07809WikidataQ115211940 ScholiaQ115211940MaRDI QIDQ2329642

Saeid Azam, Amir Farahmand Parsa

Publication date: 18 October 2019

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07809

zbMATH Keywords

Kac-Moody algebraSteinberg groupextended affine Lie algebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Steinberg groups and (K_2) (19C99) Kac-Moody groups (20G44)

Related Items (2)

Characterization and enumeration of reflectable bases of types E6,7,8 ⋮ Integral structures in extended affine Lie algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness and presentation of Kac-Moody groups over fields
• Extended affine root systems. I: Coxeter transformations
• Extended affine Weyl groups
• A characterization of affine Kac-Moody Lie algebras
• Covering algebras. I: Extended affine Lie algebras
• Classification and construction of quasisimple Lie algebras
• On the relation of extended affine Weyl groups and indefinite Weyl groups.
• Jordan tori for a torsion free abelian group
• Groups defined by extended affine Lie algebras with nullity 2
• Sur certains groupes simples
• Lectures on Chevalley Groups
• Extended Affine Weyl Groups: Presentation by Conjugation via Integral Collection
• Extended affine Lie algebras and their root systems
• AUTOMORPHISMS OF TOROIDAL LIE ALGEBRAS AND THEIR CENTRAL QUOTIENTS
• A presentation for reduced extended affine weyl groups
• Schémas en groupes réductifs
• The root system and the core of an extended affine Lie algebra.

This page was built for publication: Groups of extended affine Lie type