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2024 / March Volume 19 No.1
Half circles on flag manifolds over a semifield
Published Date
2024 / March
Title
Half circles on flag manifolds over a semifield
Author
George Lusztig
Keyword
flag manifold, half circle, semifield
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Pagination
1-13
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 $i$.

DOI
10.21915/BIMAS.2024101
https://doi.org/10.21915/BIMAS.2024101
AMS Subject
Classification
20G99
Received
2023-09-16
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