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Acta Mathematica Vietnamica

POINCARÉ SERIES OF QUANTUM SPACES ASSOCIATED TO HECKE OPERATORS

icon-email PHUNG HO HAI

Abstract

We prove that the dimension of the homogeneous components of the quadratic algebras associated to a Hecke operator is a Pólya
frequency (P-) sequence. This result enables us to give some characterizations on the Poincaré series of these quadratic algebras.