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 …

This paper presents primarily two Euclidean embeddings of the quotient space generated by
matrices that are identified modulo arbitrary row permutations. The original application is in …

Consider a real vector space $\mathcal {V} $ and a finite group $ G $ acting unitary on
$\mathcal {V} $. We study the general problem of constructing a stable embedding, whose …

We determine the minimal number of separating invariants for the invariant ring of a matrix
group G≤ GL n (F q) over the finite field F q. We show that this minimal number can be …

Consider a real vector space $\mathcal {V} $ and a finite group $ G $ acting unitarily on
$\mathcal {V} $. We study the general problem of constructing a stable embedding whose …

Degree bounds for algebra generators of invariant rings are a topic of longstanding interest
in invariant theory. We study the analogous question for field generators for the field of …

Separating invariants for 2 × 2 matrices - ScienceDirect Skip to main contentSkip to article
Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue Search …

In 1993, just about a century after the epoch of Classical Invariant Theory and almost 30
years after Mumford's seminal book on Geometric Invariant Theory, Bernd Sturmfels …

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 …

Finite F-representation type is an important notion in characteristic p commutative algebra,
but explicit examples of varieties with or without this property are few. We prove that a large …