Abstract:
Quotients of Hom-functors are functors of the form HomR(P;{u100000})=HomR(P;{u100000})J where P is a projective R-module and J is a certain ideal of the endomorphism ring of P. These functors were used by R. Dipper in the articles On Quotients of Hom-Functors and Representations of Finite General Linear Groups I-II, to obtain a classi cation of the irreducible l-modular representations of GLn(q) for primes l not dividing q. In this thesis, the general properties of these functors are examined following Dipper's articles [6] and [7]. Besides, the relation between the quotients of Hom-functors and the Harish-Chandra theory is investigated.
