Algebraic approach to contraction families
Algebraic Geometry
2024-04-23 v3 Commutative Algebra
Representation Theory
Abstract
In this paper, we give a purely algebraic approach to the contraction group scheme predicted by Bernstein--Higson--Subag and constructed by Barbasch--Higson--Subag. We also compare quotient schemes of contraction group schemes with other related schemes, equipped with actions of contraction group schemes in the cases of symmetric and -stable parabolic subgroups.
Cite
@article{arxiv.2302.10867,
title = {Algebraic approach to contraction families},
author = {Takuma Hayashi},
journal= {arXiv preprint arXiv:2302.10867},
year = {2024}
}
Comments
The statement of Lemma 4.1 was given over general base schemes. The arguments in Section 4.1 were extended. Example 2.12 was added for new contents of Section 4.1