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The Grassmannian VOA [PDF]

open access: yesJournal of High Energy Physics, 2020
Abstract We study the 3-parametric family of vertex operator algebras based on the Grassmannian coset CFT $$ \mathfrak{u} $$ u (M + N )k /($$ \mathfrak{u} $$ u (M )k×$$ \mathfrak{u} $$ u (N )k ). This VOA serves as a basic building
Lorenz Eberhardt, Tomáš Procházka
openaire   +6 more sources

Network parametrizations for the Grassmannian [PDF]

open access: yesAlgebra & Number Theory, 2013
Deodhar introduced his decomposition of partial flag varieties as a tool for understanding Kazhdan-Lusztig polynomials. The Deodhar decomposition of the Grassmannian is also useful in the context of soliton solutions to the KP equation, as shown by Kodama and the second author.
Talaska, Kelli, Williams, Lauren
openaire   +8 more sources

The Grassmannian for celestial superamplitudes [PDF]

open access: yesJournal of High Energy Physics, 2021
Abstract Recently, scattering amplitudes in four-dimensional Minkowski spacetime have been interpreted as conformal correlation functions on the two-dimensional celestial sphere, the so-called celestial amplitudes.
Livia Ferro, Livia Ferro, Robert Moerman
openaire   +4 more sources

Grassmannian Frames with Applications to Coding and Communication [PDF]

open access: yesarXiv, 2003
For a given class ${\cal F}$ of uniform frames of fixed redundancy we define a Grassmannian frame as one that minimizes the maximal correlation $|< f_k,f_l >|$ among all frames $\{f_k\}_{k \in {\cal I}} \in {\cal F}$.
Heath, Robert, Strohmer, Thomas
core   +3 more sources

Grassmannians and Cluster Structures. [PDF]

open access: yesBull 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.
europepmc   +5 more sources

Secants of Lagrangian Grassmannians [PDF]

open access: yesAnnali di Matematica Pura ed Applicata, 2010
We study the dimensions of secant varieties of the Grassmannian of Lagrangian subspaces in a symplectic vector space. We calculate these dimensions for third and fourth secant varieties.
Ada Boralevi   +8 more
core   +5 more sources

On the Classification of Residues of the Grassmannian [PDF]

open access: yesJournal of High Energy Physics, 2010
We study leading singularities of scattering amplitudes which are obtained as residues of an integral over a Grassmannian manifold. We recursively do the transformation from twistors to momentum twistors and obtain an iterative formula for Yangian ...
A Brandhuber   +55 more
core   +5 more sources

The compatible Grassmannian

open access: yesDifferential Geometry and its Applications, 2014
25 ...
M. E. Di Iorio y Lucero   +3 more
openaire   +5 more sources

The Cayley Grassmannian [PDF]

open access: yesJournal of Algebra, 2018
We study the projective variety CG parametrizing four dimensional subalgebras of the complex octonions, which we call the Cayley Grass-mannian. We prove that it is a spherical G2-variety with only three orbits that we describe explicitely. Its cohomology ring has a basis of Schubert type classes and we determine the intersection product completely.
openaire   +4 more sources

Pursuing the double affine Grassmannian II: Convolution [PDF]

open access: yes, 2011
This is the second paper of a series (started by arXiv:0711.2083) which describes a conjectural analog of the affine Grassmannian for affine Kac-Moody groups (also known as the double affine Grassmannian).
Braverman, Alexander   +1 more
core   +2 more sources

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