|
|||||
 |
|
|
|
|
|
|
|
Filtering
cohomology of ordinary and Lagrangian Grassmannians
Victor Reiner and Galen Dorpalen-Barry
Vol. 15 (2022), No. 2, 271–288
|
Abstract |
|
We study, for a positive integer , the subalgebra of the cohomology ring of the complex Grassmannians generated by the elements of degree at most . We build in two ways upon a conjecture for the Hilbert series of this subalgebra due to Reiner and Tudose. The first reinterprets it in terms of the operation of -conjugation, suggesting two conjectural bases for the subalgebras that would imply their conjecture. The second introduces an analogous conjecture for the cohomology of Lagrangian Grassmannians. |
PDF Access Denied
We have not been able to recognize your IP address
18.97.14.85
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 30.00:
Keywords
Grassmannian, Lagrangian, Hilbert series, $q$-binomial,
$k$-conjugation, $k$-Schur function
|
Mathematical Subject Classification
Primary: 05E05, 05E14, 14N15
|
Milestones
Received: 21 March 2021
Revised: 10 September 2021
Accepted: 11 September 2021
Published: 29 July 2022
Communicated by Jim Haglund
|
Authors |
| Victor Reiner | |
| School of Mathematics University of Minnesota Minneapolis, MN United States |
|
| Galen Dorpalen-Barry | |
| Fakultät für Mathematik Ruhr-Universität Bochum Bochum Germany |
|
