Algebraic approach to contraction families

Takuma Hayashi

Algebraic approach to contraction families

Algebraic Geometry 2024-04-23 v3 Commutative Algebra Representation Theory

Authors: Takuma Hayashi

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 $\theta$ -stable parabolic subgroups.

Keywords

contraction group scheme algebraic approach quotient schemes parabolic subgroups group actions

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

Algebraic approach to contraction families

Abstract

Keywords

Cite

Comments

Related papers