Prehomogeneous tensor spaces
Algebraic Geometry
2018-02-13 v3
Abstract
We refine the classification of prehomogeneous vector spaces, provided by Sato-Kimura, in the case of tensor spaces, presenting a quick way to check whether a given tensor space is prehomogeneous or not.
Keywords
Cite
@article{arxiv.1606.07257,
title = {Prehomogeneous tensor spaces},
author = {Federico Venturelli},
journal= {arXiv preprint arXiv:1606.07257},
year = {2018}
}
Comments
15 pages, 1 figure; Major changes: longer (and hopefully clearer) introduction, corrected proof of Proposition 1.7 and of Proposition 1.9, corrected statement of Sato-Kimura theorem, remark added after statement of Proposition 1.3, Section 1.1 expanded to clarify the definition of "block elements". All the results of the article remain valid. Minor changes: typos fixed, references removed