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Lie Groups and Algebraic Groups by Ernest B. Vinberg, Arkadij L. Onishchik (Paperback, 2011)

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This book is based on the notes of the authors' seminar on algebraic and Lie groups held at the Department of Mechanics and Mathematics of Moscow University in 1967/68. Our guiding idea was to present in the most economic way the theory of semisimple Lie groups on the basis of the theory of algebraic groups. Our main sources were A. Borel's paper [34], C. ChevalIey's seminar [14], seminar Sophus Lie [15] and monographs by C. Chevalley [4], N. Jacobson [9] and J-P. Serre [16, 17]. In preparing this book we have completely rearranged these notes and added two new chapters: Lie groups and Real semisimple Lie groups . Several traditional topics of Lie algebra theory, however, are left entirely disregarded, e.g. universal enveloping algebras, characters of linear representations and (co)homology of Lie algebras. A distinctive feature of this book is that almost all the material is presented as a sequence of problems, as it had been in the first draft of the seminar's notes. We believe that solving these problems may help the reader to feel the seminar's atmosphere and master the theory. Nevertheless, all the non-trivial ideas, and sometimes solutions, are contained in hints given at the end of each section. The proofs of certain theorems, which we consider more difficult, are given directly in the main text. The book also contains exercises, the majority of which are an essential complement to the main contents.

Product Identifiers

Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783642743368
eBay Product ID (ePID)
117489296

Product Key Features

Author
Ernest B. Vinberg, Arkadij L. Onishchik
Publication Name
Lie Groups and Algebraic Groups
Format
Paperback
Language
English
Subject
Mathematics, Physics
Publication Year
2011
Type
Textbook
Number of Pages
330 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
540g

Additional Product Features

Title_Author
Ernest B. Vinberg, Arkadij L. Onishchik
Series Title
Springer Series in Soviet Mathematics
Country/Region of Manufacture
Germany

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Lie Groups and Algebraic Groups by Ernest B. Vinberg, Arkadij L. Onishchik (Paperback, 2011)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Permaculture: A Designer's Manual by Bill Mollison (Hardcover, 1988)

Australian Native Bee Book: Keeping Stingless Bee Hives for Pets, Pollination and Sugarbag Honey by Tim Heard (Paperback, 2015)

The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

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