On representations of affine Kac-Moody groups and related loop groups

DOI10.1090/S0002-9947-96-01677-7zbMath0867.17018MaRDI QIDQ4715124

Yu Chen

Publication date: 24 July 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

degreeloop groupminimal representationcharacteristic zeroaffine Kac-Moody groupChevalley-Demazure group scheme

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (1)

Two-dimensional representations of affine Kac-Moody groups

Cites Work

• Uniqueness and presentation of Kac-Moody groups over fields
• Homomorphismes abstraits de groupes algébriques simples
• Infinite dimensional Lie algebras. An introduction
• The arithmetic theory of loop groups
• Tits' systems in Chevalley groups over Laurent polynomial rings
• Représentations de groupes quantiques et permutations
• Infinite flag varieties and conjugacy theorems
• On rational subgroups of reductive algebraic groups over integral domains
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On representations of affine Kac-Moody groups and related loop groups