Half circles on flag manifolds over a semifield
Representation Theory
2022-12-21 v1
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.
Cite
@article{arxiv.2212.09959,
title = {Half circles on flag manifolds over a semifield},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:2212.09959},
year = {2022}
}
Comments
9 pages