Pollack, Aaron Lifting laws and arithmetic invariant theory. (English) Zbl 1432.16037 Camb. J. Math. 6, No. 4, 347-449 (2018). Summary: In this paper we discuss lifting laws which, roughly, are ways of “lifting” elements of the open orbit of one prehomogeneous vector space to elements of the minimal nonzero orbit of another prehomogeneous vector space. We prove a handful of these lifting laws, and show how they can be used to help solve certain problems in arithmetic invariant theory. Of the results contained in this article are twisted versions of certain parametrization theorems of Bhargava. Cited in 7 Documents MSC: 16W22 Actions of groups and semigroups; invariant theory (associative rings and algebras) 11S90 Prehomogeneous vector spaces Keywords:arithmetic invariant theory; prehomogenous vector spaces; higher composition laws PDFBibTeX XMLCite \textit{A. Pollack}, Camb. J. Math. 6, No. 4, 347--449 (2018; Zbl 1432.16037) Full Text: DOI arXiv