Integral Hecke Algebras for Finite Generalized Polygons

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dc.authoridhacioglu, ilhan/0000-0002-1692-4502
dc.contributor.authorHacioglu, Ilhan
dc.date.accessioned2025-01-27T21:21:41Z
dc.date.available2025-01-27T21:21:41Z
dc.date.issued2011
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractSuppose 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).
dc.identifier.endpage272
dc.identifier.issn1005-3867
dc.identifier.issue2
dc.identifier.scopus2-s2.0-79953682541
dc.identifier.scopusqualityQ4
dc.identifier.startpage259
dc.identifier.urihttps://hdl.handle.net/20.500.12428/29033
dc.identifier.volume18
dc.identifier.wosWOS:000289155100005
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofAlgebra Colloquium
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectHecke algebra
dc.subjectintegral representation
dc.subjectSmith normal form
dc.titleIntegral Hecke Algebras for Finite Generalized Polygons
dc.typeArticle

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