On Hecke modules generated by eta-products and imaginary quadratic fields

We study two types of modules over the Hecke algebra generated by eta-products \eta (\tau )\eta (N\tau ) and \eta (\tau )^3\eta (\lambda \tau )^3 respectively. We give dimension formulas for them in terms of the class number of imaginary quadratic field.

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Bibliographische Detailangaben
Veröffentlicht in:	Proceedings of the American Mathematical Society 2017-01, Vol.145 (1), p.23-37
1. Verfasser:	OGASAWARA, TAKESHI
Format:	Artikel
Sprache:	eng
Schlagworte:	A. ALGEBRA, NUMBER THEORY, AND COMBINATORICS
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We study two types of modules over the Hecke algebra generated by eta-products \eta (\tau )\eta (N\tau ) and \eta (\tau )^3\eta (\lambda \tau )^3 respectively. We give dimension formulas for them in terms of the class number of imaginary quadratic field.
ISSN:	0002-9939 1088-6826
DOI:	10.1090/proc/13186