Results 121 to 130 of about 36,312 (298)

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.
Evgeny Feigin, Evgeny Feigin, Markus Reineke, Giovanni Cerulli Irelli   +3 more
openaire   +3 more sources

Cluster categories for completed infinity‐gons I: Categorifying triangulations

Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.
Abstract Paquette and Yıldırım recently introduced triangulated categories of arcs in completed infinity‐gons, which are discs with an infinite closed set of marked points on their boundary. These categories have many features in common with the cluster categories associated to discs with different sets of marked points. In particular, they have (weak)
İlke Çanakçı, Martin Kalck, Matthew Pressland   +2 more
wiley   +1 more source

Arrangements Of Minors In The Positive Grassmannian And a Triangulation of The Hypersimplex [PDF]

Discrete Mathematics & Theoretical Computer Science, 2015
The structure of zero and nonzero minors in the Grassmannian leads to rich combinatorics of matroids. In this paper, we investigate an even richer structure of possible equalities and inequalities between the minors in the positive Grassmannian.
Miriam Farber, Yelena Mandelshtam
doaj   +1 more source

Characterization of apartments in polar Grassmannians [PDF]

arXiv, 2011
Buildings of types $\textsf{C}_n$ and $\textsf{D}_n$ are defined by rank $n$ polar spaces. The associated building Grassmannians are polar and half-spin Grassmannians. Apartments in dual polar spaces and half-spin Grassmannians were characterized in \cite{CKS}.
arxiv  

Equations for polar Grassmannians [PDF]

Linear and Multilinear Algebra, 2016
Given an $N$-dimensional vector space $V$ over a field $\mathbb{F}$ and a trace-valued $( ,\varepsilon)$-sesquilinear form $f:V\times V\rightarrow \mathbb{F}$, with $\varepsilon = \pm 1$ and $ ^2 = \mathrm{id}_{\mathbb{F}}$, let ${\cal S}$ be the polar space of totally $f$-isotropic subspaces of $V$ and let $n$ be the rank of ${\cal S}$. Assuming $n \
openaire   +3 more sources

Steenrod operations via higher Bruhat orders

Proceedings of the London Mathematical Society, Volume 130, Issue 2, February 2025.
Abstract The purpose of this paper is to establish a correspondence between the higher Bruhat orders of Yu. I. Manin and V. Schechtman, and the cup‐i$i$ coproducts defining Steenrod squares in cohomology. To any element of the higher Bruhat orders, we associate a coproduct, recovering Steenrod's original ones from extremal elements in these orders ...
Guillaume Laplante‐Anfossi, Nicholas J. Williams   +1 more
wiley   +1 more source

Deep Grassmannian multiview subspace clustering with contrastive learning

Electronic Research Archive
This paper investigated the problem of multiview subspace clustering, focusing on feature learning with submanifold structure and exploring the invariant representations of multiple views.
Rui Wang, Haiqiang Li, Chen Hu, Xiao-Jun Wu, Yingfang Bao   +4 more
doaj   +1 more source

Sobre la convergencia en el Grassmaniano

Selecciones Matemáticas, 2020
In this paper, we present a characterization of the convergence on the n-th order Grassmannian that permits us to show in a direct way that this set is compact and every vector bundle is measurable.
Helmuth Villavicencio
doaj   +1 more source

Carrollian and celestial spaces at infinity

Journal of High Energy Physics, 2022
We show that the geometry of the asymptotic infinities of Minkowski spacetime (in d + 1 dimensions) is captured by homogeneous spaces of the Poincaré group: the blow-ups of spatial (Spi) and timelike (Ti) infinities in the sense of Ashtekar-Hansen and a ...
José Figueroa-O’Farrill, Emil Have, Stefan Prohazka, Jakob Salzer   +3 more
doaj   +1 more source

Codes on Linear Sections of Grassmannians [PDF]

arXiv, 2016
We study algebraic geometry linear codes defined by linear sections of the Grassmannian variety as codes associated to FFN$(1,q)$-projective varieties. As a consequence, we show that Schubert, Lagrangian-Grassmannian, and isotropic Grassmannian codes are special instances of codes defined by linear sections of the Grassmannian variety.
arxiv