Galois Closures of Non-commutative Rings and an Application to Hermitian Representations

Wei Ho, Matthew Satriano

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Galois closures of commutative rank $n$ ring extensions were introduced by Bhargava and the 2nd author. In this paper, we generalize the construction to the case of non-commutative rings. We show that noncommutative Galois closures commute with base change and satisfy a product formula. As an application, we give a uniform construction of many of the representations arising in arithmetic invariant theory, including many Vinberg representations.

Original languageEnglish (US)
Pages (from-to)7944-7974
Number of pages31
JournalInternational Mathematics Research Notices
Volume2020
Issue number21
DOIs
StatePublished - Nov 1 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics

Fingerprint

Dive into the research topics of 'Galois Closures of Non-commutative Rings and an Application to Hermitian Representations'. Together they form a unique fingerprint.

Cite this