Characters

Hecke Characters and Formal Group Characters

Let E be an elliptic curve over Q with complex multiplication by the ring of integers of an imaginary quadratic eld. Let be the Hecke character associated to E by the theory of complex multiplication. Let be the complex conjugate character of. For a pair of integers k and j, deene the Hecke character ' = '(k; j) = k j. Let p be a prime where E has good, ordinary reduction. Let p be a xed prime ...

Characters of finite quasigroups VII: permutation characters

Each homogeneous space of a quasigroup affords a representation of the BoseMesner algebra of the association scheme given by the action of the multiplication group. The homogeneous space is said to be faithful if the corresponding representation of the Bose-Mesner algebra is faithful. In the group case, this definition agrees with the usual concept of faithfulness for transitive permutation rep...

Evil Characters

In this paper I examine the psychological traits that can play a constitutive role in having an evil character, using a recent affect-based account by Colin McGinn as my starting point. I distinguish several such traits and defend the importance of both affect and action-based approaches. I then argue that someone who possesses these characteristics to the greatest possible extent—the purely ev...

On the irreducible characters of Camina triples

The Camina triple condition is a generalization of the Camina condition in the theory of finite groups. The irreducible characters of Camina triples have been verified in the some special cases. In this paper, we consider a Camina triple (G,M,N)  and determine the irreducible characters of G in terms of the irreducible characters of M and G/N.  

Hecke Algebra Characters