Total positivity for cominuscule Grassmannians.

zbMath1144.20029arXiv0710.2932MaRDI QIDQ2480545

Thomas Lam, Lauren K. Williams

Publication date: 31 March 2008

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2932

zbMATH Keywords

Weyl groupstotal positivityCW-complexessemisimple linear algebraic groupssimple rootspartial flag varietiespositive root systemscominuscule Grassmannians

Mathematics Subject Classification ID

Related Items (26)

Positroid stratification of orthogonal Grassmannian and ABJM amplitudes ⋮ Wilson loops in SYM \(\mathcal{N}=4\) do not parametrize an orientable space ⋮ Decompositions of amplituhedra ⋮ Total positivity for the Lagrangian Grassmannian ⋮ The parity of the number of permutation tableaux in a fixed shape ⋮ Tree-like tableaux ⋮ The Space of Circular Planar Electrical Networks ⋮ Context-free grammars, generating functions and combinatorial arrays ⋮ Combinatorics on permutation tableaux of type A and type B ⋮ New interpretations for noncrossing partitions of classical types ⋮ The Deodhar decomposition of the Grassmannian and the regularity of KP solitons ⋮ Block decomposition and statistics arising from permutation tableaux ⋮ A bijection from staircase tableaux to inversion tables, giving some Eulerian and Mahonian statistics ⋮ A combinatorial proof of a symmetry of \((t,q)\)-Eulerian numbers of type \(B\) and type \(D\) ⋮ On the sign-imbalance of permutation tableaux ⋮ The structure of alternative tableaux ⋮ The Matrix Ansatz, orthogonal polynomials, and permutations ⋮ Combinatorial Hopf algebras, noncommutative Hall-Littlewood functions, and permutation tableaux ⋮ Corners in tree-like tableaux ⋮ Projected Richardson varieties and affine Schubert varieties ⋮ Admissible diagrams in quantum nilpotent algebras and combinatoric properties of Weyl groups ⋮ Unnamed Item ⋮ A generalized Eulerian triangle from staircase tableaux and tree-like tableaux ⋮ Asymptotic normality of the number of corners in tableaux associated with the partially asymmetric simple exclusion process ⋮ Combinatorics of the Deodhar decomposition of the Grassmannian ⋮ Friends and strangers walking on graphs

This page was built for publication: Total positivity for cominuscule Grassmannians.