M. Lorenz

activity

19982003

most citedOn the Cohen-Macaulay property of multiplicative invariants

1 citations · 1 across the 1 of their papers we have counts for

collaborators

10 papers

math.AC2003★ 1 cited

On the Cohen-Macaulay property of multiplicative invariants

Martin Lorenz

We investigate the Cohen-Macaulay property for rings of invariants under multiplicative actions of a finite group $G$ . By definition, these are $G$ -actions on Laurent polynomial al…

math.RA2001

On Euler classes of abelian-by-finite groups

Martin Lorenz

Let $G$ be a finitely generated abelian-by-finite group and $k$ a field of characteristic $p \geq 0$ . The Euler class $[k_{G}]$ of $G$ over $k$ is the class of the trivial $k G$ -module…

math.RA2001

Fields of definition for division algebras

Martin Lorenz, Zinovy Reichstein, Louis H. Rowen +1

Let $A$ be a finite-dimensional division algebra containing a base field $k$ in its center $F$ . We say that $A$ is defined over a subfield $F_{0}$ of $F$ if $A = A_{0} \otimes_{F_{0}} F$ …

math.AC2000

On Cohen-Macaulay rings of invariants

Martin Lorenz, Jawahar Pathak

We investigate the transfer of the Cohen-Macaulay property from a commutative ring to a subring of invariants under the action of a finite group. Our point of view is ring theoreti…

math.RA2000

On the degrees of irreducible representations of Hopf algebras

Martin Lorenz

Let H denote a semisimple Hopf algebra over an algebraically closed field k of characteristic 0. We show that the degree of any irreducible representation of H whose character belo…

math.RA2000

Lattices and Parameter Reduction in Division Algebras

Martin Lorenz, Zinovy Reichstein

Let k be an algebraically closed field of characteristic 0 and let D be a division algebra whose center F contains k. We shall say that D can be reduced to r parameters if D = D_0…