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26 April 2024 |
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A q-Analog of Foulke's conjecture | | François Bergeron
; | | Date: |
25 Feb 2016 | | Abstract: | We propose a $q$-analog of classical plethystic conjectures due to Foulkes.
In our conjecture, up to a divided differences, the Hall-Littlewood polynomials
$H_n(mathbf{x};q)$ replace the complete homogeneous symmetric functions
$h_n(mathbf{x})$. At $q=0$, we get back the original statement of Foulkes, and
we show that our version holds at $q=1$. We also give further supporting
evidence for our conjecture, and related results. | | Source: | arXiv, 1602.8134 | | Services: | Forum | Review | PDF | Favorites | |
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