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A Combinatorial Approach to Multiplicity-Free Richardson Subvarieties of the Grassmannian [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2009
We consider Buch's rule for K-theory of the Grassmannian, in the Schur multiplicity-free cases classified by Stembridge. Using a result of Knutson, one sees that Buch's coefficients are related to Möbius inversion. We give a direct combinatorial proof of
Michelle Snider
doaj   +7 more sources

Spread Spectrum Modulation with Grassmannian Constellations for Mobile Multiple Access Underwater Acoustic Channels [PDF]

open access: yesSensors, 2022
The objective of this study is to evaluate Grassmannian constellations combined with a spread spectrum multiple access scheme for underwater acoustic mobile multiple access communication systems.
Christophe Bernard   +2 more
doaj   +2 more sources

ABJM amplitudes and the positive orthogonal Grassmannian [PDF]

open access: yesJournal of High Energy Physics, 2014
A remarkable connection between perturbative scattering amplitudes of four-dimensional planar SYM, and the stratification of the positive grassmannian, was revealed in the seminal work of Arkani-Hamed et. al.
Yu-Tin Huang, Congkao Wen
exaly   +3 more sources

The Yangian origin of the Grassmannian integral [PDF]

open access: yesJournal of High Energy Physics, 2010
In this paper we analyse formulas which reproduce different contributions to scattering amplitudes in N=4 super Yang-Mills theory through a Grassmannian integral. Recently their Yangian invariance has been proved directly by using the explicit expression
A Brandhuber   +48 more
exaly   +5 more sources

Projectivity of the Witt vector affine Grassmannian [PDF]

open access: greenInventiones Mathematicae, 2016
Bhargav Bhatt, Peter Scholze
exaly   +2 more sources

Network parameterizations for the Grassmannian [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 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 ...
Kelli Talaska, Lauren Williams
doaj   +1 more source

Combinatorics of diagrams of permutations [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
There are numerous combinatorial objects associated to a Grassmannian permutation $w_λ$ that index cells of the totally nonnegative Grassmannian. We study some of these objects (rook placements, acyclic orientations, various restricted fillings) and ...
Joel Brewster Lewis, Alejandro Morales
doaj   +1 more source

Non-planar BCFW Grassmannian geometries

open access: yesJournal of High Energy Physics, 2022
In this paper, we study non-adjacent BCFW recursion relations and their connection to positive geometry. For an adjacent BCFW shift, the n-point N k MHV tree-level amplitude in N $$ \mathcal{N} $$ = 4 SYM theory is expressed as a sum over planar on-shell
Shruti Paranjape   +2 more
doaj   +1 more source

Total positivity for the Lagrangian Grassmannian [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
The positroid decomposition of the Grassmannian refines the well-known Schubert decomposition, and has a rich combinatorial structure. There are a number of interesting combinatorial posets which index positroid varieties,just as Young diagrams index ...
Rachel Karpman
doaj   +1 more source

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