A combinatorial approach to representations of quantum linear groups

DOI10.1080/00927879808826299zbMath0914.20037OpenAlexW2153679762MaRDI QIDQ4212526

Jun Hu

Publication date: 10 June 1999

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879808826299

zbMATH Keywords

reductive algebraic groupsinductionline bundlesinduced modulesquantized enveloping algebrasbideterminantsBorel subgroupsdominant weightsManin quantizationcohomology vanishing results

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Homogeneous spaces and generalizations (14M17) Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)

Related Items

A combinatorial description of the quantum Désarménien matrix via the \(q\)-Schur algebra ⋮ Codeterminants and \(q\)-Schur algebras. ⋮ A quantum version of the Désarménien matrix.

Cites Work

• Schubert varieties and Demazure's character formula
• Cohomology of infinitesimal quantum groups. I
• A very simple proof of Bott's theorem
• Induced modules and extensions of representations
• Representations of quantum algebras

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