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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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Coisotropic hypersurfaces in Grassmannians [PDF]
Journal of Symbolic Computation, 2021 22 ...
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Prime ideals in the quantum grassmanian [PDF]
, 2008 We consider quantum Schubert cells in the quantum grassmannian and give a cell decomposition of the prime spectrum via the Schubert cells. As a consequence, we show that all primes are completely prime in the generic case where the deformation parameter ...
Lenagan, T.H. +2 more
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Remarks on Grassmannian Symmetric Spaces [PDF]
, 2008 summary:The classical concept of affine locally symmetric spaces allows a generalization for various geometric structures on a smooth manifold. We remind the notion of symmetry for parabolic geometries and we summarize the known facts for $|1|$-graded ...
Zalabová, Lenka, Žádník, Vojtěch
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On the Variety of Paths on Complete Intersections in Grassmannians
Моделирование и анализ информационных систем, 2014 In this article we study the Fano variety of lines on the complete intersection of the grassmannian G(n, 2n) with hypersurfaces of degrees d1 ..., di . A length l path on such a variety is a connected curve composed of l lines.
S. M. Yermakova
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DFT-based Beamforming Weight-Vector Codebook Design for Spatially Correlated Channels in the Unitary Precoding Aided Multiuser Downlink [PDF]
, 2010 —The DFT-based beamforming weight-vector code-book is considered as an effective design for spatially correlated channels. In this paper, we demonstrate that when the antenna elements are uniformly spaced as well as linearly arranged, and the channels ...
Yang, Lie-Liang +5 more
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Journal of High Energy Physics, 2020 We study the 3-parametric family of vertex operator algebras based on the Grassmannian coset CFT u $$ \mathfrak{u} $$ (M + N ) k /( u $$ \mathfrak{u} $$ (M ) k × u $$ \mathfrak{u} $$ (N ) k ).
Lorenz Eberhardt, Tomáš Procházka
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, 2023 This table of Grassmannian packings was created by N. J. A. Sloane based on joint work with R. H. Hardin and J. H. Conway in "Packing lines, planes, etc.: packings in Grassmannian spaces" (Experiment. Math.
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POSITIVE GRASSMANNIAN AND POLYHEDRAL SUBDIVISIONS
, 2021 © ICM 2018.All rights reserved. The nonnegative Grassmannian is a cell complex with rich geometric, algebraic, and combinatorial structures. Its study involves interesting combinatorial objects, such as positroids and plabic graphs.
POSTNIKOV, ALEXANDER
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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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