| Title: |
On the Distinguished Monomials Associated to the Permutation Symbols in the Ehresmann Cycle Class [(a0,., an), F] of the Flag Manifold |
| Authors: |
Praise Adeyemo; Samuel Ilori |
| Contributors: |
The Pennsylvania State University CiteSeerX Archives |
| Source: |
http://www.m-hikari.com/imf/imf-2013/33-36-2013/adeyemoIMF33-36-2013.pdf. |
| Collection: |
CiteSeerX |
| Subject Terms: |
Ehresmann Subvariety; Borel-Hirzebruch Basis; Flag Mani- folds 1642 Praise Adeyemo and Samuel Ilori |
| Description: |
Copyright c © 2013 Praise Adeyemo and Samuel Ilori. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In this paper, we give a construction to realize a distinguished mono-mial from any given permutation symbol in the Ehresmann subvarieties of the flag manifold F (n+1) and study the intrinsic properties of these monomials through the ordering relation defined on the set of exponents, ZZn≥0 of the monomials. This relation is well-ordered. The bijection be-tween the collection of distinguished monomials and the set of exponents is established. We express the degree of any distinguished monomial in terms of the dimension of its corresponding cycle symbol. |
| Document Type: |
text |
| File Description: |
application/pdf |
| Language: |
English |
| Relation: |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.674.3551 |
| Availability: |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.674.3551; http://www.m-hikari.com/imf/imf-2013/33-36-2013/adeyemoIMF33-36-2013.pdf |
| Rights: |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Accession Number: |
edsbas.2913342F |
| Database: |
BASE |