Sheaf cohomology on G/B and tensor products of Weyl modules
type: Item
instance of: scholarly article
title: Sheaf cohomology on G/B and tensor products of Weyl modules
zbMATH Open document ID: 0493.20023
DOI: 10.1016/0021-8693(82)90284-8
author: Jianpan Wang
published in: Journal of Algebra
publication date: 1982-01-01T00:00:00Z
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20G10
Mathematics Subject Classification ID: 14M17
Mathematics Subject Classification ID: 20G15
Mathematics Subject Classification ID: 14L40
zbMATH DE Number: 3775823
zbMATH Keywords: semisimple algebraic group
zbMATH Keywords: Borel subgroup
zbMATH Keywords: maximal torus
zbMATH Keywords: lattice of characters
zbMATH Keywords: dominant weights
zbMATH Keywords: Weyl module
zbMATH Keywords: rational module
zbMATH Keywords: invariant line
zbMATH Keywords: Weyl character formula
zbMATH Keywords: Grothendieck group of finite dimensional rational modules
zbMATH Keywords: filtration
zbMATH Keywords: sheaf cohomology
MaRDI profile type: Publication
full work available at URL: 0021-8693(82)90284-8
OpenAlex ID: W1969190797
Wikidata QID: Q55982546
cites work: The first cohomology group of a line bundle on G/B
cites work: The Frobenius morphism on the cohomology of homogeneous vector bundles on G/B
cites work: Vanishing theorems and induced representations
cites work: The strong linkage principle.
cites work: Induced modules and affine quotients
cites work: Induced modules and extensions of representations
cites work: Induced Modules and Extensions of Representations, II
cites work: Cohomology, hyperalgebras, and representations
cites work: A very simple proof of Bott's theorem
cites work: Q3313974
cites work: Introduction to Lie Algebras and Representation Theory
cites work: Q4744461
cites work: Q3926788
cites work: Modular representations of classical Lie algebras and semi-simple groups
cites work: Darstellungen halbeinfacher Gruppen und kontravariante Formen.
cites work: Geometry of 𝐺/𝑃
cites work: Q3882615
cites work: Q4075665
description: scientific article; zbMATH DE number 3775823