Results 51 to 60 of about 36,312 (298)
On the construction of $ \mathbb Z^n_2- $grassmannians as homogeneous $ \mathbb Z^n_2- $spaces
Electronic Research Archive, 2022 In this paper, we construct the $ \mathbb Z^n_2- $grassmannians by gluing of the $ \mathbb Z^n_2- $domains and give an explicit description of the action of the $ \mathbb Z^n_2- $Lie group $ GL(\overrightarrow{\textbf{m}}) $ on the $ \mathbb Z^n_2 ...
Mohammad Mohammadi , Saad Varsaie
doaj +1 more source
The Grassmannian of affine subspaces [PDF]
Foundations of Computational Mathematics, 2018 The Grassmannian of affine subspaces is a natural generalization of both the Euclidean space, points being 0-dimensional affine subspaces, and the usual Grassmannian, linear subspaces being special cases of affine subspaces.
Lek-Heng Lim, Ken Sze-Wai Wong, Ke Ye
semanticscholar +1 more source
Differential geometry of grassmannians and Plucker map [PDF]
, 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
Journal of High Energy Physics, 2020 We study a correspondence between 3d N $$ \mathcal{N} $$ = 2 topologically twisted Chern-Simons-matter theories on S 1 × Σg and quantum K -theory of Grassmannians.
Kazushi Ueda, Yutaka Yoshida
doaj +1 more source
Tropical fans, scattering equations and amplitudes
Journal of High Energy Physics, 2021 We describe a family of tropical fans related to Grassmannian cluster algebras. These fans are related to the kinematic space of massless scattering processes in a number of ways.
James Drummond +3 more
doaj +1 more source
Banach Poisson–Lie Groups and Bruhat–Poisson Structure of the Restricted Grassmannian [PDF]
Communications in Mathematical Physics, 2018 The first part of this paper is devoted to the theory of Poisson–Lie groups in the Banach setting. Our starting point is the straightforward adaptation of the notion of Manin triples to the Banach context.
A. Tumpach
semanticscholar +1 more source
Positroid Stratification of Orthogonal Grassmannian and ABJM Amplitudes [PDF]
, 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
Automorphisms of Grassmannians [PDF]
Proceedings of the American Mathematical Society, 1989 For a complex vector space V \mathcal {V} of dimension n n , the group of holomorphic automorphisms of the Grassmannian Gr ( p , V ) \operatorname {Gr}(p,\mathcal {V}) can be identified with the subgroup of
openaire +2 more sources
The pentagram map on Grassmannians [PDF]
Annales de l'Institut Fourier, 2019 In this paper we define a generalization of the pentagram map to a map on twisted polygons in the Grassmannian space Gr(n;mn). We define invariants of Grassmannian twisted polygons under the natural action of SL(nm), invariants that define coordinates in the moduli space of twisted polygons.
Raúl Felipe, Gloria Marí Beffa
openaire +3 more sources