Mean values of some Hecke characters

On Some Intermediate Mean Values

Slavko Simic Mathematical Institute SANU, Kneza Mihaila 36, 11000 Belgrade, Serbia Correspondence should be addressed to Slavko Simic; [email protected] Received 25 June 2012; Revised 9 December 2012; Accepted 16 December 2012 Academic Editor: Mowaffaq Hajja Copyright © 2013 Slavko Simic.This is an open access article distributed under the Creative Commons Attribution License, which p...

Hecke Algebra 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 ...

Algebraic Hecke Characters Motivation

Characters of Iwahori - Hecke Algebras

Iwahori-Hecke algebras for the innnite series of complex reeection groups G(r; p; n) were constructed recently in the work of Ariki and Koike, Brou e and Malle, and Ariki. In this paper we give Murnaghan-Nakayama type formulas for computing the irreducible characters of these algebras. Our method is a generalization of that in our earlier paper in which we derived Murnaghan-Nakayama rules for t...