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arXiv · 2212.09959

Half circles on flag manifolds over a semifield

G. Lusztig
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Abstract

A flag manifold over a semifield K can be partitioned into "half i-circles" which are orbits of a K-action on that flag manifold. Here i is fixed and it corresponds to a simple reflection in the Weyl group. We prove (for certain K) a connectedness property of the flag manifold: any two points of it can be joined by a finite sequence of half i-circles for various i.

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G. Lusztig. 2022-12-20. Half circles on flag manifolds over a semifield. https://arxiv.org/abs/2212.09959

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