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OverviewFull Product DetailsAuthor: Roger Godement , Urmie RayPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 2017 ed. Dimensions: Width: 15.50cm , Height: 1.60cm , Length: 23.50cm Weight: 4.628kg ISBN: 9783319543734ISBN 10: 3319543733 Pages: 293 Publication Date: 13 May 2017 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Language: English Table of ContentsTopological Groups.- Simply Connected Spaces and Groups.- Analytic Properties of Linear Groups.- Manifolds and Lie Group.- The Lie Algebra of a Lie Group.- The Exponential Map for Lie Groups.ReviewsThis book is an educational text, in which practically all statements, which are contained in it, are proved. Therefore it is written for students, who want not only to study the theory of Lie groups and Lie algebras and to pass an examination, but to study the foundation of Lie theory for effectively using it in further scientific work. (V. V. Gorbatsevich, zbMATH 1367.22001, 2017) The book draws many very interesting connections, say to topological groups, that are rarely found in more recent books. Hence I believe it is a valuable source for material for courses on the topic. (A. Cap, Monatshefte fur Mathematik, Vol. 192 (4), August, 2020) This book is an educational text, in which practically all statements, which are contained in it, are proved. Therefore it is written for students, who want not only to study the theory of Lie groups and Lie algebras and to pass an examination, but to study the foundation of Lie theory for effectively using it in further scientific work. (V. V. Gorbatsevich, zbMATH 1367.22001, 2017) Author InformationRoger Godement (October 1, 1921 - July 21, 2016) is known for his work in functional analysis, and also his expository books. He started as a student at the École normale supérieure in 1940, where he became a student of Henri Cartan. He started research into harmonic analysis on locally compact abelian groups, finding a number of major results; this work was in parallel but independent of similar investigations in the USSR and Japan. Work on the abstract theory of spherical functions published in 1952 proved very influential in subsequent work, particularly that of Harish-Chandra. The isolation of the concept of square-integrable representation is attributed to him. The Godement compactness criterion in the theory of arithmetic groups was a conjecture of his. He later worked with Jacquet on the zeta function of a simple algebra. He was an active member of the Bourbaki group in the early 1950s, and subsequently gave a number of significant Bourbaki seminars. He also took part in the Cartan seminar. He also wrote texts on abstract algebra and mathematical analysis. Tab Content 6Author Website:Countries AvailableAll regions |