Results 11 to 20 of about 26,527 (250)
Grassmannians and Cluster Structures. [PDF]
Bull Iran Math Soc, 2021 AbstractCluster structures have been established on numerous algebraic varieties. These lectures focus on the Grassmannian variety and explain the cluster structures on it. The tools include dimer models on surfaces, associated algebras, and the study of associated module categories.
Baur K.
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The Tropical Symplectic Grassmannian [PDF]
International Mathematics Research Notices, 2021 AbstractWe launch the study of the tropicalization of the symplectic Grassmannian, that is, the space of all linear subspaces isotropic with respect to a fixed symplectic form. We formulate tropical analogues of several equivalent characterizations of the symplectic Grassmannian and determine all implications between them.
Balla, George, Olarte, Jorge Alberto
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K-classes for matroids and equivariant localization [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 To every matroid, we associate a class in the K-theory of the Grassmannian. We study this class using the method of equivariant localization. In particular, we provide a geometric interpretation of the Tutte polynomial.
Alex Fink, David Speyer
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Integral geometry on discrete matrices
Moroccan Journal of Pure and Applied Analysis, 2021 In this note, we study the Radon transform and its dual on the discrete matrices by defining hyperplanes as being infinite sets of solutions of linear Diophantine equations. We then give an inversion formula and a support theorem.
Attioui Abdelbaki
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Affine type A geometric crystal structure on the Grassmannian [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We construct a type A(1) nā1 affine geometric crystal structure on the Grassmannian Gr(k, n). The tropicalization of this structure recovers the combinatorics of crystal operators on semistandard Young tableaux of rectangular shape (with n ā k rows ...
Gabriel Frieden
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Total positivity for cominuscule Grassmannians [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 In this paper we explore the combinatorics of the non-negative part $(G/P)_{\geq 0}$ of a cominuscule Grassmannian. For each such Grassmannian we define Le-diagrams ā certain fillings of generalized Young diagrams which are in bijection with the cells of
Thomas Lam, Lauren Williams
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Linear Ind-grassmannians [PDF]
Pure and Applied Mathematics Quarterly, 2014 Keywords: Grassmannian, ind-variety, linear morphism of algebraic varieties; Pages no.
Penkov, I., Tikhomirov, A.
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Totally nonnegative Grassmannians, Grassmann necklaces, and quiver Grassmannians
Canadian Journal of Mathematics, 2022 AbstractPostnikov constructed a cellular decomposition of the totally nonnegative Grassmannians. The poset of cells can be described (in particular) via Grassmann necklaces. We study certain quiver Grassmannians for the cyclic quiver admitting a cellular decomposition, whose cells are naturally labeled by Grassmann necklaces. We show that the posets of
Feigin E., Lanini M., Putz A.
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Combinatorics of Positroids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Recently Postnikov gave a combinatorial description of the cells in a totally-nonnegative Grassmannian. These cells correspond to a special class of matroids called positroids.
Suho Oh
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Schubert Quiver Grassmannians [PDF]
Algebras and Representation Theory, 2016 Quiver Grassmannians are projective varieties parametrizing subrepresentations of given dimension in a quiver representation. We define a class of quiver Grassmannians generalizing those which realize degenerate flag varieties. We show that each irreducible component of the quiver Grassmannians in question is isomorphic to a Schubert variety.
CERULLI IRELLI, GIOVANNI +2 more
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