We study a class of orbit recovery problems in which we observe independent copies of an
unknown element of R p, each linearly acted upon by a random element of some group …

It is shown that black-box derandomization of polynomial identity testing (PIT) is essentially
equivalent to derandomization of Noether's Normalization Lemma for explicit algebraic …

We consider two group actions on m-tuples of n× n matrices with entries in the field K. The
first is simultaneous conjugation by GL n and the second is the left-right action of SL n× SL n …

We prove a characteristic free version of Weyl's theorem on polarization. Our result is an
exact analogue of Weyl's theorem, the difference being that our statement is about …

Let G be an affine algebraic group acting on an affine variety X. We present an algorithm for
computing generators of the invariant ring K [X] G in the case where G is reductive …

A separating algebra is, roughly speaking, a subalgebra of the ring of invariants whose
elements distinguish between any two orbits that can be distinguished using invariants. In …

This paper studies separating subsets of an invariant ring or, more generally, of any set
consisting of functions. We prove that a subset of a finitely generated algebra always …

Roughly speaking, a separating algebra is a subalgebra of the ring of invariants whose
elements distinguish between any two orbits that can be distinguished using invariants. In …

The main purpose of this paper is to give a survey of algorithms in invariant theory, with
emphasis on nonreductive groups and on recent developments. But the article has some …

Plusieurs lois de comportement mécaniques possèdent une formulation tensorielle, comme
c'est par exemple le cas pour l'étude des matériaux élastiques. Dans ce cas in-tervient un …