Cohomology of line bundles on G/B for the exceptional group \(G_ 2\)
type: Item
instance of: scholarly article
title: Cohomology of line bundles on G/B for the exceptional group \(G_ 2\)
zbMATH Open document ID: 0615.20023
DOI: 10.1016/0022-4049(87)90027-2
published in: Journal of Pure and Applied Algebra
publication date: 1987-01-01T00:00:00Z
review text: The following topics (headlines of the various sections) are discussed for the cohomology of line bundles on G/B for the rank-2 group \(G_ 2:\) Generic decomposition patterns, Jantzen's filtrations, Andersen's filtrations, Standard and non-standard vanishing, Non-vanishing in more than two degrees, Semistandard vanishing. The example treated is general enough to illustrate both the known results about the cohomology on G/B and the many open problems in this area.
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20G10
Mathematics Subject Classification ID: 14M17
zbMATH DE Number: 3995968
zbMATH Keywords: cohomology of line bundles
zbMATH Keywords: decomposition patterns
zbMATH Keywords: filtrations
zbMATH Keywords: vanishing
author: James E. Humphreys
reviewed by: Henning Haahr Andersen
MaRDI profile type: Publication
full work available at URL: 0022-4049(87)90027-2
OpenAlex ID: W2014436807
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description: scientific article; zbMATH DE number 3995968