arXiv Analytics

Sign in

arXiv:1806.08345 [math.AG]AbstractReferencesReviewsResources

Galois closures of non-commutative rings and an application to Hermitian representations

Wei Ho, Matthew Satriano

Published 2018-06-21Version 1

Galois closures of commutative rank n ring extensions were introduced by Bhargava and the second author. In this paper, we generalize the construction to the case of non-commutative rings. We show that non-commutative 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.

Related articles: Most relevant | Search more
arXiv:1507.01860 [math.AG] (Published 2015-06-30)
Boundedness of the images of period maps and applications
arXiv:1008.3248 [math.AG] (Published 2010-08-19)
On a theorem of Castelnuovo and applications to moduli
arXiv:math/0211336 [math.AG] (Published 2002-11-21)
An application of the canonical bundle formula