Standard monomial theory for \(G_ 2\)
type: Item
instance of: scholarly article
title: Standard monomial theory for \(G_ 2\)
zbMATH Open document ID: 0605.14041
DOI: 10.1016/0021-8693(86)90001-3
published in: Journal of Algebra
publication date: 1986-01-01T00:00:00Z
review text: Let G be a semisimple, simply connected Chevalley group over a field k, B a Borel subgroup of G. Let L be a positive line bundle on G/B. The construction of an explicit basis for \(H^ 0(G/B,L)\) (or more generally for \(H^ 0(X,L)\), X a Schubert variety in G/B) can be given for classical groups G by means of so called standard monomials. The corresponding theory of standard monomials for Schubert varieties in G/B, G being of type \(G_ 2\) is developed.
Mathematics Subject Classification ID: 14M15
Mathematics Subject Classification ID: 14L40
Mathematics Subject Classification ID: 14F25
Mathematics Subject Classification ID: 14M17
Mathematics Subject Classification ID: 14L35
Mathematics Subject Classification ID: 20G10
Mathematics Subject Classification ID: 20G15
zbMATH DE Number: 3977169
zbMATH Keywords: Chevalley group
zbMATH Keywords: Schubert variety
zbMATH Keywords: standard monomials for Schubert varieties
author: V. Lakshmibai
reviewed by: Hans-Jochen Bartels
MaRDI profile type: Publication
full work available at URL: 0021-8693(86)90001-3
OpenAlex ID: W4205902794
cites work: The Shape-Algebra and Standard Bases for G 2
cites work: Q5580319
cites work: Désingularisation des variétés de Schubert généralisées
cites work: Q5814388
cites work: Q5834477
cites work: Q3892352
cites work: Geometry of 𝐺/𝑃
cites work: Q3892353
cites work: Q3931551
cites work: Q3682606
cites work: Q5519950
cites work: Q3686814
description: scientific article; zbMATH DE number 3977169