Monotonicity of strata in the stratification of the cone of totally positive matrices

DOI10.1007/s13226-017-0226-7zbMath1402.20059OpenAlexW2756036486MaRDI QIDQ1702455

Amitava Ghosh

Publication date: 28 February 2018

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-017-0226-7

zbMATH Keywords

Weyl groupCoxeter groupBruhat ordersemi-monotone setsstratamonotone cells

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Classical groups (algebro-geometric aspects) (14L35) Semialgebraic sets and related spaces (14P10) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Cites Work

• Unnamed Item
• Regular cell complexes in total positivity.
• Posets, regular CW complexes and Bruhat order
• Total positivity in Schubert varieties
• Parametrizations of canonical bases and totally positive matrices
• Monotone functions and maps
• Semi-monotone sets
• Double Bruhat cells and total positivity
• Totally nonnegative and oscillatory elements in semisimple groups
• Stratified spaces formed by totally positive varieties

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