STRAIGHTENING FOR STANDARD MONOMIALS ON SCHUBERT VARIETIES

Citation
V. Reiner et M. Shimozono, STRAIGHTENING FOR STANDARD MONOMIALS ON SCHUBERT VARIETIES, Journal of algebra, 195(1), 1997, pp. 130-140
Citations number
10
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00218693
Volume
195
Issue
1
Year of publication
1997
Pages
130 - 140
Database
ISI
SICI code
0021-8693(1997)195:1<130:SFSMOS>2.0.ZU;2-L
Abstract
We give an elementary proof of the following known fact: any multihomo genous component in the homogeneous coordinate ring of a Schubert vari ety inside GL(n)/B has basis given by the standard monomials (V. Laksh mibai et al., 1986, J. Algebra 100, 462-557). (C) 1997 Academic Press.