Heisenberg Groups, Theta Functions and the Weil Representation
Jae-Hyun Yang
TL;DR
This paper develops harmonic analysis on high-dimensional Heisenberg groups, exploring theta functions and the Weil representation, and elucidates their interconnections.
Contribution
It introduces a comprehensive theory linking harmonic analysis, theta functions, and Weil representation on high-dimensional Heisenberg groups.
Findings
Established a framework for harmonic analysis on high-dimensional Heisenberg groups
Analyzed the properties of theta functions in this context
Described the relationship between theta functions and Weil representation
Abstract
In this manuscript, we develope the theory of harmonic analysis on the Heisenberg group G of high dimension. We investigate the theta functions and the Weil representation related to this Heisenberg group and describe the connection among them.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Mathematical Analysis and Transform Methods · Geometry and complex manifolds