Year: 2026
Type: preprint
Abstract: We construct quantized integral models of reductive monoids and establish their finite-generation properties. We also describe the quantized coordinate rings of the basic affine spaces explicitly in terms of Lusztig's dual canonical bases. The results will be used in the companion paper \cite{CJ2} to establish a classification theorem for split reductive monoids over arbitrary connected base schemes.
Source: arXiv (Cornell University)
Authors: Chi, Jingren, Jacques, Simon
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222702682