The totally nonnegative part of \(G/P\) is a ball

DOI10.1016/j.aim.2019.05.009zbMath1440.14224arXiv1801.08953OpenAlexW2786907088WikidataQ127831957 ScholiaQ127831957MaRDI QIDQ2001584

Pavel Galashin, Thomas Lam, Steven N. Karp

Publication date: 10 July 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.08953

zbMATH Keywords

total positivityalgebraic groupcanonical basespartial flag variety

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Positive matrices and their generalizations; cones of matrices (15B48) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items

Circular Planar Electrical Networks, Split Systems, and Phylogenetic Networks, Regularity theorem for totally nonnegative flag varieties, Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties, Mini-workshop: Scattering amplitudes, cluster algebras, and positive geometries. Abstracts from the mini-workshop held December 5--11, 2021 (hybrid meeting), Boundary measurement and sign variation in real projective space, Lorentzian polynomials, Shellability of face posets of electrical networks and the CW poset property, The totally nonnegative Grassmannian is a ball, The totally nonnegative Grassmannian is a ball, Ising model and the positive orthogonal Grassmannian, Spaces of Lorentzian and real stable polynomials are Euclidean balls

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regular cell complexes in total positivity.
• Discrete Morse theory for totally non-negative flag varieties
• The totally nonnegative part of \(G/P\) is a CW complex
• An algebraic cell decomposition of the nonnegative part of a flag variety
• Canonical Bases Arising from Quantized Enveloping Algebras
• Shelling totally nonnegative flag varieties
• The totally nonnegative Grassmannian is a ball