On $R$-equivalence of Automorphism Groups of Associative Algebras
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911347228278784 |
|---|---|
| author | Das, Dibyendu |
| author_facet | Das, Dibyendu |
| contents | Let $A$ be a finite-dimensional associative $k$-algebra with identity. The primary aim of this paper is to study the rationality properties of the group of all $k$-algebra automorphisms of $A$, as an affine algebraic group over an arbitrary field $k$. We investigate mainly the $R$-equivalence property of the identity component of $\mathrm{Aut}_{k}(A)$ over a perfect field $k$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24357 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On $R$-equivalence of Automorphism Groups of Associative Algebras Das, Dibyendu Group Theory Algebraic Geometry 20G15, 14E08, 16Gxx Let $A$ be a finite-dimensional associative $k$-algebra with identity. The primary aim of this paper is to study the rationality properties of the group of all $k$-algebra automorphisms of $A$, as an affine algebraic group over an arbitrary field $k$. We investigate mainly the $R$-equivalence property of the identity component of $\mathrm{Aut}_{k}(A)$ over a perfect field $k$. |
| title | On $R$-equivalence of Automorphism Groups of Associative Algebras |
| topic | Group Theory Algebraic Geometry 20G15, 14E08, 16Gxx |
| url | https://arxiv.org/abs/2512.24357 |