Root strings with three or four real roots in Kac-Moody root systems

DOI10.2748/tmj/1178227928zbMath0656.17012OpenAlexW2057458818MaRDI QIDQ1109866

Jun Morita

Publication date: 1988

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227928

zbMATH Keywords

root systemKac-Moody algebraKac-Moody groupgeneralized Cartan matricesKac-Moody root systemroot stringSteinberg-Tits presentation

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Root strings with two consecutive real roots ⋮ A lightcone embedding of the twin building of a hyperbolic Kac-Moody group ⋮ Kac-Moody groups and completions ⋮ On some pro-\(p\) groups from infinite-dimensional Lie theory ⋮ Around the Lie correspondence for complete Kac-Moody groups and Gabber-Kac simplicity

Cites Work

• Unnamed Item
• Unnamed Item
• Uniqueness and presentation of Kac-Moody groups over fields
• Commutator relations in Kac-Moody groups
• Infinite dimensional Lie algebras. An introduction
• Root Systems and Cartan Matrices