The freeness of Ish arrangements

Autor: Takuro Abe, Daisuke Suyama, Shuhei Tsujie

Publikováno v: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 27th..., Iss Proceedings (2015)

The Ish arrangement was introduced by Armstrong to give a new interpretation of the $q; t$-Catalan numbers of Garsia and Haiman. Armstrong and Rhoades showed that there are some striking similarities between the Shi arrangement and the Ish arrangemen

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The freeness of Ish arrangements

Autor: Shuhei Tsujie, Daisuke Suyama, Takuro Abe

Publikováno v: Discrete Mathematics and Theoretical Computer Science
27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), Jul 2015, Daejeon, South Korea. pp.273-284

The Ish arrangement was introduced by Armstrong to give a new interpretation of the $q; t$-Catalan numbers of Garsia and Haiman. Armstrong and Rhoades showed that there are some striking similarities between the Shi arrangement and the Ish arrangemen

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8cd924ca323c5101420bf582d4e53a5

Bases for the derivation modules of two-dimensional ~multi-Coxeter arrangements and universal derivations

Autor: Atsushi Wakamiko

Publikováno v: Hokkaido Math. J. 40, no. 3 (2011), 375-392

Let $\A$ be an irreducible Coxeter arrangement and $\bfk$ be a multiplicity of $\A$. We study the derivation module $D(\A, \bfk)$. Any two-dimensional irreducible Coxeter arrangement with even number of lines is decomposed into two orbits under the a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c00336f8b121a2ee40599a7a50dcaa7
https://doi.org/10.14492/hokmj/1319595862

Bruhat order, rationally smooth Schubert varieties, and hyperplane arrangements

Autor: Hwanchul Yoo, Suho Oh

We link Schubert varieties in the generalized flag manifolds with hyperplane arrangements. For an element of a Weyl group, we construct a certain graphical hyperplane arrangement. We show that the generating function for regions of this arrangement c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::315e136d571441934631ef2a812a2ded
https://dmtcs.episciences.org/2835