Heisenberg Groups via Algebra
G\"unter Landsmann, Markus Rosenkranz
TL;DR
This paper introduces a broad class of Heisenberg groups inspired by algebraic Fourier theory, exploring their fundamental properties through a homological lens to deepen understanding of their structure.
Contribution
It presents a new algebraic framework for Heisenberg groups and analyzes their properties using homological methods, which is a novel approach in this context.
Findings
Established basic properties of the new class of Heisenberg groups.
Applied homological techniques to analyze group structure.
Provided insights relevant to algebraic Fourier theory.
Abstract
We introduce a general class of Heisenberg groups motivated by applications of algebraic Fourier theory. Basic properties are examined from a homological perspective.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Mathematical Analysis and Transform Methods · Advanced Topics in Algebra