Pieri formula for \(SO_{2n+1}/U_ n\) and \(Sp_ n/U_ n\)
type: Item
instance of: scholarly article
title: Pieri formula for \(SO_{2n+1}/U_ n\) and \(Sp_ n/U_ n\)
zbMATH Open document ID: 0611.14036
DOI: 10.1016/0001-8708(86)90087-3
author: Brian D. Boe
author: Howard L. Hiller
published in: Advances in Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The main results are two generalizations of Pieri's formula to cycles in \(SO_{2n+1}/U_ n\) and \(Sp_ n/U_ n\). Both formulae give the intersection class of a general Schubert cycle with a special Schubert cycle as a linear combination of classes of Schubert cycles. Unlike the classical formula (i.e., for cycles in a grassmannian), the present formulae involve multiplicities which are computed in the paper.
Mathematics Subject Classification ID: 14L35
Mathematics Subject Classification ID: 14N10
Mathematics Subject Classification ID: 14C17
zbMATH DE Number: 3987462
zbMATH Keywords: Pieri formula
zbMATH Keywords: classes of Schubert cycles
reviewed by: Eduardo Casas-Alvero
MaRDI profile type: Publication
full work available at URL: 0001-8708(86)90087-3
OpenAlex ID: W1993083418
cites work: SCHUBERT CELLS AND COHOMOLOGY OF THE SPACESG/P
cites work: Q5605675
cites work: Q5580319
cites work: Invariants of Finite Groups Generated by Reflections
cites work: Invariants symétriques entiers des groupes de Weyl et torsion
cites work: Désingularisation des variétés de Schubert généralisées
cites work: Q4195061
cites work: Schubert calculus of a Coxeter group
cites work: Combinatorics and intersections of Schubert varieties
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description: scientific article; zbMATH DE number 3987462