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Topics in Noncommutative Algebra: The Theorem of Campbell, Baker, Hausdorff and Dynkin

Topics in Noncommutative Algebra: The Theorem of Campbell, Baker, Hausdorff and Dynkin

Paperback

Series: Lecture Notes in Mathematics, Book 2034

AlgebraGeneral MathematicsGeometry

ISBN10: 3642225969
ISBN13: 9783642225963
Publisher: Springer
Published: Oct 12 2011
Pages: 539
Weight: 1.72
Height: 1.15 Width: 6.14 Depth: 9.21
Language: English

Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, Numerical Analysis, Theoretical Physics, Control Theory, sub-Riemannian Geometry), this monograph is intended to: fully enable readers (graduates or specialists, mathematicians, physicists or applied scientists, acquainted with Algebra or not) to understand and apply the statements and numerous corollaries of the main result, provide a wide spectrum of proofs from the modern literature, comparing different techniques and furnishing a unifying point of view and notation, provide a thorough historical background of the results, together with unknown facts about the effective early contributions by Schur, Poincaré, Pascal, Campbell, Baker, Hausdorff and Dynkin, give an outlook on the applications, especially in Differential Geometry (Lie group theory) and Analysis (PDEs of subelliptic type) and quickly enable the reader, through a description of the state-of-art and open problems, to understand the modern literature concerning a theorem which, though having its roots in the beginning of the 20th century, has not ceased to provide new problems and applications.

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