Results 81 to 90 of about 13,276 (167)
Posets, Regular CW Complexes and Bruhat Order
European Journal of Combinatorics, 1984 A poset P is thin if all its intervals of length two have cardinality four. For other terminology see e.g., the author and \textit{M. Wachs} [Trans. Am. Math. Soc. 277, 323-341 (1983; Zbl 0514.05009)]. In this very interesting paper the author continues his efforts at the classification of those posets which are somehow (combinatorially) topological in
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Feigin–Odesskii brackets associated with Kodaira cycles and positroid varieties
Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.Abstract We establish a link between open positroid varieties in the Grassmannians G(k,n)$G(k,n)$ and certain moduli spaces of complexes of vector bundles over Kodaira cycle Cn$C^n$, using the shifted Poisson structure on the latter moduli spaces and relating them to the standard Poisson structure on G(k,n)$G(k,n)$.
Zheng Hua, Alexander Polishchuk
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Geometric Bruhat order on (0,1)-matrices
, 2023 The combinatorially and the geometrically defined partial orders on the set of permutations coincide. We extend this result to $(0,1)$-matrices with fixed row and column sums. Namely, the Bruhat order induced by the geometry of a Cherkis bow variety of type A coincides with one of the two combinatorially defined Bruhat orders on the same set.
Botta, Tommaso Maria +2 more
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Moments of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract We give an asymptotic formula with power saving error term for the twisted first moment of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$ in the level aspect. As applications, we obtain nonvanishing results as well as lower bounds of the expected order of magnitude for all even moments, supporting the random matrix model for a unitary ...
Valentin Blomer, Félicien Comtat
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On Degrees in the Hasse Diagram of the Strong Bruhat Order
, 2006 For a permutation $\pi$ in the symmetric group $S_n$ let the {\it total degree} be its valency in the Hasse diagram of the strong Bruhat order on $S_n$, and let the {\it down degree} be the number of permutations which are covered by $\pi$ in the strong ...
Ron M. Adin +4 more
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On Invertibility of Large Binary Matrices
MathematicsMany data processing applications involve binary matrices for storing digital information. At present, there are limited results in the literature about algorithms for inverting large binary matrices.
Ibrahim Mammadov +2 more
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A uniform model for Kirillov-Reshetikhin crystals. Extended abstract
, 2012 We present a uniform construction of tensor products of one-column Kirillov-Reshetikhin (KR) crystals in all untwisted affine types, which uses a generalization of the Lakshmibai-Seshadri paths (in the theory of the Littelmann path model).
Lenart, Cristian +4 more
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Higher bruhat orders and cyclic hyperplane arrangements
Topology, 1993 Bruhat (partial) orders form a class of important posets with interesting interpretations and relationships to a variety of structures of both combinatorial and/or topological nature, which have been reasonably well- studied as a consequence. Accordingly, it is important to discover proper generalizations which exhibit analogous connections to ...
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A catalanization map on the symmetric group [PDF]
Enumerative Combinatorics and Applications, 2022 Mahir Bilen Can +2 more
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Bruhat Order for Two Flags and a Line [PDF]
Journal of Algebraic Combinatorics, 2005 36 pages. Version 2 adds an Introduction stating results in terms of S_n; and corrects typos, including in statement of move (v).
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