Results 11 to 20 of about 3,252 (223)
advg, 2004 Corrected small errors, added new section on characteristic ...
Speyer, David, Sturmfels, Bernd
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Restricted Grassmannian permutations [PDF]
Enumerative Combinatorics and Applications, 2022 A permutation is called Grassmannian if it has at most one descent. In this paper, we investigate pattern avoidance and parity restrictions for such permutations.
Juan B. Gil, Jessica A. Tomasko
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GRASSMANNIAN SEMIGROUPS AND THEIR REPRESENTATIONS
Journal of the Australian Mathematical Society, 2018 The set of row reduced matrices (and of echelon form matrices) is closed under multiplication. We show that any system of representatives for the$\text{Gl}_{n}(\mathbb{K})$action on the$n\times n$matrices, which is closed under multiplication, is necessarily conjugate to one that is in simultaneous echelon form.
Camillo, Victor, Iovanov, Miodrag C.
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Splitting criteria for vector bundles on the symplectic isotropic Grassmannian [PDF]
Le Matematiche, 2009 We extend a theorem of Ottaviani on cohomological splitting criterion for vector bundles over the Grassmannian to the case of the symplectic isotropic Grassmanian.
Pedro Macias Marques, Luke Oeding
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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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On Lagrangian Grassmannian Variety and Plücker Matrices
MathematicsThe Plücker matrix BL(n,E) of the Lagrangian Grassmannian L(n,E), is determined by the linear envelope ⟨L(n,E)⟩ of the Lagrangian Grassmannian. The linear envelope ⟨L(n,E)⟩ is the intersection of linear relations of Plücker of Lagrangian Grassmannian ...
Jesús Carrillo-Pacheco
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Grassmannian Trilogarithms [PDF]
Compositio Mathematica, 2001 In the previous works of the first author, two completely different constructions of single valued Grassmannian trilogarithms were given. One of the constructions, in Math . Res . Lett . 2
Goncharov, A. B., Zhao, J.
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Grassmannians and pseudosphere arrangements [PDF]
Journal de l’École polytechnique — Mathématiques, 2021 We extend vector configurations to more general objects that have nicer combinatorial and topological properties, called weighted pseudosphere arrangements. These are defined as a weighted variant of arrangements of pseudospheres, as in the topological representation theorem for oriented matroids. We show that in rank
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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 ― certain fillings of generalized Young diagrams which are in bijection with the cells of
Thomas Lam, Lauren Williams
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ENDMEMBER EXTRACTION ON THE GRASSMANNIAN [PDF]
2018 IEEE Data Science Workshop (DSW), 2018 Endmember extraction plays a prominent role in a variety of data analysis problems as endmembers often correspond to data representing the purest or best representative of some feature. Identifying endmembers then can be useful for further identification and classification tasks. In settings with high-dimensional data, such as hyperspectral imagery, it
Elin Farnell +3 more
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