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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…