Tits systems in a class of Kac-Moody Steinberg groups

DOI10.1006/aima.1997.1674zbMath0890.22011OpenAlexW1995548053MaRDI QIDQ1376315

Richard Marcuson

Publication date: 17 December 1997

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1997.1674

zbMATH Keywords

highest weight representationsTits systemsLie algebrasKac Moody Steinberg groups

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)

Related Items

On the simplicity of some kac-moody groups

Cites Work

• Uniqueness and presentation of Kac-Moody groups over fields
• Commutator relations in Kac-Moody groups
• On the construction of simple Lie algebras
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• Demazure character formula in arbitrary Kac-Moody setting
• The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\)
• A Lie theoretic interpretation and proof of the Rogers-Ramanujan identities
• Tits' systems in generalized nonadjoint Chevalley groups
• A new class of Lie algebras
• Tits' systems with crystallographic Weyl groups
• Affine root systems and Dedekind's \(\eta\)-function
• Lectures on Chevalley Groups
• Infinite flag varieties and conjugacy theorems
• SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH
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