Results 21 to 30 of about 26,527 (250)

Grassmannians and pseudosphere arrangements [PDF]

open access: yesJournal 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.
openaire   +2 more sources

On the Variety of Paths on Complete Intersections in Grassmannians

open access: yesМоделирование 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
doaj   +1 more source

The Grassmannian VOA

open access: yesJournal 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
doaj   +1 more source

Positroid Stratification of Orthogonal Grassmannian and ABJM Amplitudes [PDF]

open access: yes, 2014
A novel understanding of scattering amplitudes in terms of on-shell diagrams and positive Grassmannian has been recently established for four dimensional Yang-Mills theories and three dimensional Chern-Simons theories of ABJM type.
Kim, Joonho, Lee, Sangmin
core   +2 more sources

Differential geometry of grassmannians and Plucker map [PDF]

open access: yes, 2010
Using the Plucker map between grassmannians, we study basic aspects of classic grassmannian geometries. For `hyperbolic' grassmannian geometries, we prove some facts (for instance, that the Plucker map is a minimal isometric embedding) that were ...
Anan'in, Sasha, Grossi, Carlos H.
core   +1 more source

Biadjoint scalars and associahedra from residues of generalized amplitudes

open access: yesJournal of High Energy Physics, 2023
In the Grassmannian formulation of the S-matrix for planar N $$ \mathcal{N} $$ = 4 Super Yang-Mills, N k−2 MHV scattering amplitudes for k negative and n − k positive helicity gluons can be expressed, by an application of the global residue theorem, as a
Freddy Cachazo, Nick Early
doaj   +1 more source

Fractional Supersymmetry [PDF]

open access: yes, 1994
A Symmetry between bosonic coordinates and some Grassmannian-type coordinates is presented. Commuting two of these Grassmannian-type variables results in an arbitrary phase (not just a minus sign). This symmetry is also realised at the level of the field
Mohammedi, Noureddine
core   +2 more sources

Weights of the $\mathbb{F}_{q}$-forms of $2$-step splitting trivectors of rank $8$ over a finite field

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
Grassmann codes are linear codes associated with the Grassmann variety $G(\ell,m)$ of $\ell$-dimensional subspaces of an $m$ dimensional vector space $\mathbb{F}_{q}^{m}.$ They were studied by Nogin for general $q.$ These codes are conveniently described
M.A. Rakdi, N. Midoune
doaj   +1 more source

Residues on affine Grassmannians [PDF]

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal), 2021
Abstract Given a linear group G over a field k, we define a notion of index and residue of an element g ∈ G
Florence, Mathieu, Gille, Philippe
openaire   +4 more sources

Finding Cliques in Projective Space: A Method for Construction of Cyclic Grassmannian Codes

open access: yesIEEE Access, 2020
In general, the construction of subspace codes or, in particular, cyclic Grassmannian codes in some projective space Pq(n) is highly mathematical and requires substantial computational power for the resulting searches.
Ismael Gutierrez-Garcia   +1 more
doaj   +1 more source

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