By Werner Ballmann,Christian Blohmann,Gerd Faltings,Peter Teichner,Don Zagier
Read Online or Download Arbeitstagung Bonn 2013: In Memory of Friedrich Hirzebruch (Progress in Mathematics) PDF
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During this ebook, 3 authors introduce readers to powerful approximation equipment, analytic pro-p teams and zeta features of teams. every one bankruptcy illustrates connections among endless crew idea, quantity concept and Lie idea. the 1st introduces the speculation of compact p-adic Lie teams. the second one explains how equipment from linear algebraic teams should be utilised to check the finite photos of linear teams.
This precise textual content is an creation to harmonic research at the easiest symmetric areas, specifically Euclidean house, the sector, and the Poincaré top part plane. This booklet is meant for starting graduate scholars in arithmetic or researchers in physics or engineering. Written with an off-the-cuff variety, the ebook locations an emphasis on motivation, concrete examples, heritage, and, primarily, functions in arithmetic, information, physics, and engineering.
Encouraged by means of the significance of the Campbell, Baker, Hausdorff, Dynkin Theorem in lots of assorted branches of arithmetic and Physics (Lie group-Lie algebra concept, linear PDEs, Quantum and Statistical Mechanics, Numerical research, Theoretical Physics, regulate concept, sub-Riemannian Geometry), this monograph is meant to: fully allow readers (graduates or experts, mathematicians, physicists or utilized scientists, familiar with Algebra or now not) to appreciate and practice the statements and a number of corollaries of the most result, provide a large spectrum of proofs from the trendy literature, evaluating varied options and furnishing a unifying viewpoint and notation, offer a radical historic historical past of the implications, including unknown evidence in regards to the powerful early contributions by means of Schur, Poincaré, Pascal, Campbell, Baker, Hausdorff and Dynkin, give an outlook at the functions, in particular in Differential Geometry (Lie staff concept) and research (PDEs of subelliptic sort) and quickly let the reader, via an outline of the state-of-art and open difficulties, to appreciate the fashionable literature touching on a theorem which, although having its roots at the start of the 20th century, has now not ceased to supply new difficulties and purposes.
This graduate-level textual content offers a radical grounding within the illustration concept of finite teams over fields and jewelry. The booklet presents a balanced and complete account of the topic, detailing the equipment had to study representations that come up in lots of components of arithmetic. Key themes comprise the development and use of personality tables, the function of induction and limit, projective and straightforward modules for staff algebras, indecomposable representations, Brauer characters, and block conception.
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