Remarks on totally positive flag manifolds
G. Lusztig
TL;DR
This paper investigates the structure of totally positive flag manifolds by examining the intersection of totally positive parts of split semisimple groups with positive parabolic subgroups.
Contribution
It provides new insights into the geometric and algebraic properties of totally positive flag manifolds and their intersections.
Findings
Characterization of intersections of totally positive parts
Structural properties of positive flag manifolds
Connections to split semisimple groups
Abstract
We study the intersection of the totally positive part of a split semisimple group over the real numbers with a totally positive parabolic subgroup.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Advanced Algebra and Geometry