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Discrete Mathematics & Theoretical Computer Science |
We study the relationship between rational slope Dyck paths and invariant subsets in Z, extending the work of the first two authors in the relatively prime case. We also find a bijection between (dn, dm)–Dyck paths and d-tuples of (n, m)-Dyck paths endowed with certain gluing data. These are first steps towards understanding the relationship between the rational slope Catalan combinatorics in non relatively prime case and the geometry of affine Springer fibers and representation theory.
Source : ScholeXplorer
IsRelatedTo ARXIV alg-geom/9701019 Source : ScholeXplorer IsRelatedTo DOI 10.1215/s0012-7094-99-09704-1 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.alg-geom/9701019
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