Hacioglu, Ilhan2025-01-272025-01-2720111005-3867https://hdl.handle.net/20.500.12428/29033Suppose that (P, B, F) is a triple consisting of the points, blocks and flags of a generalized m-gon, and H(F) the associated rank-2 Iwahori-Hecke algebra. H(F) acts naturally on the integral standard module ZF based on F. This work gives arithmetic conditions on a subring R, where R contains the integers and is contained in the rationals, that insure the associated R-ary Iwahori-Hecke algebra to be completely reducible on RF. The constituent multiplicities are related to the R-normal form of the incidence matrix of (P, B, F).eninfo:eu-repo/semantics/closedAccessHecke algebraintegral representationSmith normal formArticle182259272Q4WOS:0002891551000052-s2.0-79953682541Q4