![]() |
Discrete Mathematics & Theoretical Computer Science |
We give a combinatorial proof of the factorization formula of modified Macdonald polynomials $\widetilde{H}_{\lambda} (X;q,t)$ when $t$ is specialized at a primitive root of unity. Our proof is restricted to the special case where $\lambda$ is a two columns partition. We mainly use the combinatorial interpretation of Haiman, Haglund and Loehr giving the expansion of $\widetilde{H}_{\lambda} (X;q,t)$ on the monomial basis.
Source : ScholeXplorer
IsRelatedTo ARXIV math/0409538 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.math/0409538
|