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

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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.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…

math.RA1999

On certain lattices associated with generic division algebras

Nicole Lemire, Martin Lorenz

Let S_n denote the symmetric group on n letters. We consider the S_n-root lattice A_{n-1} = {(z1,...,zn) in Z^n | z1+...+zn = 0}, where S_n acts on Z^n by permuting the coordinates…

math.RA1998

Polycyclic-by-finite group algebras are catenary

Edward S. Letzter, Martin Lorenz

We show that group algebras kG of polycyclic-by-finite groups G, where k is a field, are catenary: Given prime ideals P and P' of kG, with P contained in P', all saturated chains o…