Hilbert series of the Grassmannian and k-Narayana numbers
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...
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| Format: | Article |
| Language: | English |
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Sciendo
2019-06-01
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| Series: | Communications in Mathematics |
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| Online Access: | https://doi.org/10.2478/cm-2019-0003 |