11 citations · 26 across the 20 of their papers we have counts for
24 papers
A note on affine representable algebras
Martin Lorenz
We consider affine representable algebras, that is, finitely generated algebras over a field that can be embedded into some matrix algebra over a commutative algebra. We show that…
Hopf algebra actions and rational ideals
Martin Lorenz
This note discusses a framework for the investigation of the prime spectrum of an associative algebra A that is equipped with an action of a Hopf algebra H. In particular, we study…
Actions of cocommutative Hopf algebras
Martin Lorenz, Bach Nguyen, Ramy Yammine
Let be a cocommutative Hopf algebra acting on an algebra . Assuming the base field to be algebraically closed and the -action on to be integral, that is, it is given…
On the Adjoint Representation of a Hopf Algebra
Stefan Kolb, Martin Lorenz, Bach Nguyen +1
We consider the adjoint representation of a Hopf algebra focusing on the locally finite part, , defined as the sum of all finite-dimensional subrepresentation…
Frobenius Divisibility for Hopf Algebras
Adam Jacoby, Martin Lorenz
We present a unified ring theoretic approach, based on properties of the Casimir element of a symmetric algebra, to a variety of known divisibility results for the degrees of irred…
On the stratification of noncommutative prime spectra
Martin Lorenz
We study rational actions of an algebraic torus G by automorphisms on an associative algebra R. The G-action on R induces a stratification of the prime spectrum of R which was intr…