Weyl modules for p-singular weights
type: Item
instance of: scholarly article
title: Weyl modules for p-singular weights
zbMATH Open document ID: 0639.20023
DOI: 10.1016/0021-8693(88)90299-2
published in: Journal of Algebra
publication date: 1988-01-01T00:00:00Z
review text: Using the ideas from his recent proof of the very strong linkage principle [J. Algebra 113, No.1, 71-80 (1988)], the author generalizes a theorem of the reviewer's concerning certain composition factors in Weyl modules. He also proves the existence of related homomorphisms between Weyl modules, and in the case where the difference between the two highest weights in question is a multiple of a simple root, he obtains (generically) a formula for the character of the image of such a homomorphism.
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20G10
zbMATH DE Number: 4042151
zbMATH Keywords: very strong linkage principle
zbMATH Keywords: composition factors
zbMATH Keywords: Weyl modules
zbMATH Keywords: highest weights
zbMATH Keywords: simple root
zbMATH Keywords: character
author: Warren J. Wong
reviewed by: Henning Haahr Andersen
MaRDI profile type: Publication
full work available at URL: 0021-8693(88)90299-2
OpenAlex ID: W1974472127
cites work: The first cohomology group of a line bundle on G/B
cites work: The strong linkage principle.
cites work: On the structure of Weyl modules
cites work: Q5580319
cites work: Rational and generic cohomology
cites work: On the structure of the higher cohomology modules of line bundles on G/B
cites work: Homomorphisms between neighbouring Weyl modules
cites work: Very strong linkage for cohomology groups of line bundles on G/B
description: scientific article; zbMATH DE number 4042151