Hilbert series of the Grassmannian and k-Narayana numbers

Clicks: 158
ID: 79584
2019
Free PDF
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This article has not been analysed, so there is no overall score — reader engagement is measured and shown alongside.
AI Quality Assessment
Not analyzed
Mint this article as an NFT
Not yet minted

Create a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.

5 SUSD one-off · no wallet required
Sign in to mint
Abstract
We compute the Hilbert series of the complex Grassmannian using invariant theoretic methods. This is made possible by showing that the denominator of the q-Hilbert series is a Vandermonde-like determinant. We show that the h-polynomial of the Grassmannian coincides with the k-Narayana polynomial. A simplified formula for the h-polynomial of Schubert varieties is given. Finally, we use a generalized hypergeometric Euler transform to find simplified formulae for the k-Narayana numbers, i.e. the h-polynomial of the Grassmannian.
Reference Key
lukas2019hilbertcommunications Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Lukas, Braun;
Journal communications in mathematics
Year 2019
DOI
DOI not found
URL
http://www.degruyter.com/view/j/cm.2019.27.issue-1/cm-2019-0003/cm-2019-0003.xml?format=INT
Keywords
Medicine Science mathematics

Citations

No citations found. To add a citation, contact the admin at info@scimatic.org

Comments

No comments yet. Be the first to comment on this article.