Corpus ID: 119330855

# Equivalence of Demazure and Bott-Samelson Resolutions via Factorization

@article{Caine2015EquivalenceOD,
title={Equivalence of Demazure and Bott-Samelson Resolutions via Factorization},
author={A. Caine},
journal={arXiv: Differential Geometry},
year={2015}
}
• A. Caine
• Published 28 February 2015
• Mathematics
• arXiv: Differential Geometry
Let $G$, $B$, and $H$ denote a complex semi-simple algebraic group, a Borel subgroup of $G$, and a maximal complex torus in $B$, respectively. Choose a compact real form $K$ of $G$ such that $T=K\cap H$ is a maximal torus in $T$. Then there are two models for the flag space of $G$: the complex quotient $X=G/B$ and the real quotient $K/T$. These models are smoothly equivalent via the map $\tilde{\mathbf k}\colon G/B\to K/T$ induced by factorization in $G$ relative to the Iwasawa decomposition \$G… Expand

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