Cohomology of line bundles on the flag variety for type \(G_2\).

DOI10.1016/J.JPAA.2011.10.013zbMath1276.20056arXiv1107.3055OpenAlexW2964205926MaRDI QIDQ714110

Henning Haahr Andersen, Masaharu Kaneda

Publication date: 19 October 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3055

zbMATH Keywords

cohomology groupshighest weight representationsquantum groupsflag varietiessimple algebraic groupstranslation functorscohomology of line bundlesstrong linkage principle

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15) Cohomology theory for linear algebraic groups (20G10)

Related Items (2)

Representation theory via cohomology of line bundles ⋮ Cohomology of line bundles on the flag variety for type \(G_2\).

Cites Work

• Unnamed Item
• Cohomology of line bundles on the flag variety for type \(G_2\).
• Quantum groups at roots of 1
• The first cohomology group of a line bundle on G/B
• Homogeneous vector bundles
• An inversion formula for the Kazhdan-Lusztig polynomials for affine Weyl groups
• The Frobenius morphism on the cohomology of homogeneous vector bundles on G/B
• On the structure of the cohomology of line bundles on G/B
• Linear systems on homogeneous spaces
• Cohomology of line bundles on G/B for the exceptional group \(G_ 2\)
• The strong linkage principle for quantum groups at roots of 1.
• Representations of quantum algebras
• The strong linkage principle.
• Representations of quantum algebras. The mixed case.
• Injective Modules for Quantum Algebras
• Darstellungen halbeinfacher Gruppen und kontravariante Formen.
• Rigidity of tilting modules

This page was built for publication: Cohomology of line bundles on the flag variety for type \(G_2\).