Integral Hecke Algebras for Finite Generalized Polygons

Hacioglu I.

ALGEBRA COLLOQUIUM, cilt.18, sa.2, ss.259-272, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Konu: 2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1142/s1005386711000162
  • Sayfa Sayıları: ss.259-272


Suppose 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).