The Geometry of Heisenberg Groups: With Applications in Signal Theory, Optics, Quantization, and Field Quantization

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The three-dimensional Heisenberg group, being the simplest non-commutative Lie group, appears prominently in various applications of mathematics. The goal of this book is to present basic geometric and algebraic properties of the Heisenberg group and its relation to other important mathematical structures.

The Geometry of Heisenberg Groups: With Applications in Signal Theory, Optics, Quantization, and Field Quantization 2009, American Mathematical Society

ISBN-13: 9780821844953

Hardcover

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