The Geometry of Heisenberg Groups(English, Hardcover, Binz Ernst)

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The Geometry of Heisenberg Groups(English, Hardcover, Binz Ernst) is written by Binz Ernst and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 0821844954 (ISBN 10) and 9780821844953 (ISBN 13).

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 skew field of quaternions, symplectic structures, and representations) and to describe some of its applications. In particular, the authors address such subjects as well as signal analysis and processing, geometric optics, and quantization. In each case, the authors present necessary details of the applied topic being considered. With no prerequisites beyond the standard mathematical curriculum, this book manages to encompass a large variety of topics being easily accessible in its fundamentals. It can be useful to students and researchers working in mathematics and in applied mathematics.