Fumitake Hyodo
Published 2021-07-29Version 1
This paper focuses on the theory of the Hecke rings associated with the general linear groups in Chapter 3 of Shimura's book "Introduction to the arithmetic theory of automorphic functions", and generalizes its notions to Hecke rings associated with the automorphism groups of certain algebras. Then, in the case of the Heisenberg Lie algebra, we show an analog of the classical theory.
Global properties of a Hecke ring associated with the Heisenberg Lie algebra
A formal power series over a noncommutative Hecke ring and the rationality of the Hecke series for $GSp_4$
Arithmetic theory of E-operators
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