Root monoids and active algebraic groups
Algebraic Geometry
2025-10-21 v1
Abstract
We describe affine monoids whose group of invertible elements is an active semidirect product of a unipotent group and a torus, in terms of comultiplications on the algebra of regular functions. We introduce the notion of a root monoid, which is constructed from a set of Demazure root pairs on an affine toric variety, and study the properties of such monoids.
Keywords
Cite
@article{arxiv.2510.16638,
title = {Root monoids and active algebraic groups},
author = {Ekaterina Nistiuk and Yulia Zaitseva},
journal= {arXiv preprint arXiv:2510.16638},
year = {2025}
}
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19 pages