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pro vyhledávání: '"Kostant partition function"'
Akademický článek
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Autor:
Cherednik, Ivan a, ⁎, Feigin, Evgeny b, c
Publikováno v:
In Advances in Mathematics 10 September 2015 282:220-264
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 27th..., Iss Proceedings (2015)
26 pages, 4 figures. v2 has typos fixed, updated references, and a final remarks section including remarks from previous sections
Externí odkaz:
https://doaj.org/article/d7c4ed022c644406b832225957142f4d
Autor:
Carolina Benedetti, Apoorva Khare, Alejandro H. Morales, Martha Yip, Christopher R. H. Hanusa, Pamela E. Harris, Rafael S. González D'León
Publikováno v:
Transactions of the American Mathematical Society. 372:3369-3404
We introduce new families of combinatorial objects whose enumeration computes volumes of flow polytopes. These objects provide an interpretation, based on parking functions, of Baldoni and Vergne's generalization of a volume formula originally due to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4edcafec2cecd96e5d21de27cc34cd1
https://doi.org/10.1090/tran/7743
https://doi.org/10.1090/tran/7743
Publikováno v:
The Electronic Journal of Combinatorics. 28
We study the connection between triangulations of a type $A$ root polytope and the resonance arrangement, a hyperplane arrangement that shows up in a surprising number of contexts. Despite an elementary definition for the resonance arrangement, the n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54947858529151b94a3807b381e01887
https://doi.org/10.37236/8759
https://doi.org/10.37236/8759
Publikováno v:
RMS: Research in Mathematics & Statistics. 8
In this paper, we obtain a closed formula for the Kostant’s partition function for the Lie algebras sl4(C) and sp6(C): Using this function, one can compute the weight multiplicity of irreducible re...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b9672f880c2f526a2180f503e49e6cad
https://doi.org/10.1080/27658449.2021.1894687
https://doi.org/10.1080/27658449.2021.1894687
Autor:
Karola Mészáros, Alejandro H. Morales
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AR,..., Iss Proceedings (2012)
We establish the relationship between volumes of flow polytopes associated to signed graphs and the Kostant partition function. A special case of this relationship, namely, when the graphs are signless, has been studied in detail by Baldoni and Vergn
Externí odkaz:
https://doaj.org/article/90a3b96e126d422e934b45ad67c8e6ca
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.205-216
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.205-216
26 pages, 4 figures. v2 has typos fixed, updated references, and a final remarks section including remarks from previous sections
We introduce the Tesler polytope $Tes_n(a)$, whose integer points are the Tesler matrices of size n with hook sums
We introduce the Tesler polytope $Tes_n(a)$, whose integer points are the Tesler matrices of size n with hook sums
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ffc34a2f207542b6141a89108bfb0d8b
https://doi.org/10.1007/s00029-016-0241-2
https://doi.org/10.1007/s00029-016-0241-2
Akademický článek
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Autor:
Jason O'Neill
Publikováno v:
The Electronic Journal of Combinatorics. 25
Tesler matrices are certain integral matrices counted by the Kostant partition function and have appeared recently in Haglund's study of diagonal harmonics. In 2014, Drew Armstrong defined a poset on such matrices and conjectured that the characteris
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::18b8fb8ad2fd1d0b2e54b554dcba58ed
https://doi.org/10.37236/6877
https://doi.org/10.37236/6877