Representations of Chevalley Groups Arising from Admissible Lattices

DOI10.2307/2159384zbMath0796.20033OpenAlexW4240545849MaRDI QIDQ3987599

Zhengyuan Lin

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159384

zbMATH Keywords

enveloping algebraWeyl modulehomogeneous spaceindecomposable representationsChevalley groupsemisimple complex Lie algebradominant weightKostant \(\mathbb{Z}\)-formcohomology modules of line bundlesadmissible \(\mathbb{Z}\)-lattice

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Discrete subgroups of Lie groups (22E40) Cohomology theory for linear algebraic groups (20G10)

Related Items (5)

An Euler system for \(\mathrm{GU}(2,1)\) ⋮ On modules arising from quantum groups at \(p^r\)-th roots of unity ⋮ Categorification via blocks of modular representations for ⋮ \(\operatorname{SL}_2\) representations and relative property (T) ⋮ Filtrations of the modules for Chevalley groups arising from admissible lattices

Cites Work

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• On the structure of the higher cohomology modules of line bundles on G/B
• Filtrations of cohomology modules for Chevalley groups
• Representations of Chevalley Groups in Characteristic p
• Introduction to Lie Algebras and Representation Theory

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