Sects
Algebraic Geometry
2018-11-01 v1 Combinatorics
Representation Theory
Abstract
By explicitly describing a cellular decomposition we determine the Borel invariant cycles that generate the Chow groups of the quotient of a reductive group by a Levi subgroup. For illustrations we consider the variety of polarizations , and we introduce the notion of a sect for describing its cellular decomposition. In particular, for , we show that the Bruhat order on the sect corresponding to the dense cell is isomorphic, as a poset, to the rook monoid with the Bruhat-Chevalley-Renner order.
Cite
@article{arxiv.1810.13159,
title = {Sects},
author = {Aram Bingham and Mahir Bilen Can},
journal= {arXiv preprint arXiv:1810.13159},
year = {2018}
}