Acta Mathematica Vietnamica
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POINCARÉ SERIES OF QUANTUM SPACES ASSOCIATED TO HECKE OPERATORS
PHUNG HO HAIpp. 235-246
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.