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Antisymmetric elements in group rings with an orientation morphism
-
O. Broche
Veröffentlicht/Copyright:
12. März 2009
Abstract
Let R be a commutative ring, G a group and RG its group ring. Let φσ : RG → RG denote the involution defined by φσ(Σrgg) = Σrgσ(g)g–1, where σ : G → {±1} is a group homomorphism (called an orientation morphism). An element x in RG is said to be antisymmetric if φσ(x) = –x. We give a full characterization of the groups G and its orientations for which the antisymmetric elements of RG commute.
Received: 2007-05-09
Accepted: 2007-09-24
Published Online: 2009-03-12
Published in Print: 2009-May
© de Gruyter 2009
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Artikel in diesem Heft
- On the classification of infinite-dimensional irreducible Hermitian-symmetric affine coadjoint orbits
- A partial generalization of the Helgason Conjecture to general bounded homogeneous domains
- Antisymmetric elements in group rings with an orientation morphism
- Gradient estimates for the eigenfunctions on compact manifolds with boundary and Hörmander Multiplier Theorem
- On loops rich in automorphisms that are abelian modulo the nucleus
- Minimal number of periodic points for C1 self-maps of compact simply-connected manifolds
- On a question of Bombieri and Bourgain
- Separate real analyticity and CR extendibility
- Coverings of Banach spaces: beyond the Corson theorem
- Genus 2 curves that admit a degree 5 map to an elliptic curve
