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PreprintCC BY-NC-ND 4.0arXiv

Quantized integral models of reductive monoids

  • Jingren Chi
  • Simon Jacques
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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.

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Cite

BibTeXRIS
BibTeX
@misc{chi2026quantized,
  title = {{Quantized integral models of reductive monoids}},
  author = {Jingren Chi and Simon Jacques},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.21193},
  eprint = {2610.21193},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.21193},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Quantized integral models of reductive monoids
AU  - Jingren Chi
AU  - Simon Jacques
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.21193
UR  - https://arxiv.org/abs/2610.21193
AB  - 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.
ER  -