Linear Algebraic Groups
Resource Information
The work Linear Algebraic Groups represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Linear Algebraic Groups
Resource Information
The work Linear Algebraic Groups represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Linear Algebraic Groups
 Statement of responsibility
 by T.A. Springer
 Language

 eng
 eng
 Summary
 "[The first] ten chapters...are an efficient, accessible, and selfcontained introduction to affine algebraic groups over an algebraically closed field. The author includes exercises and the book is certainly usable by graduate students as a text or for selfstudy...the author [has a] studentfriendly style... [The following] seven chapters... would also be a good introduction to rationality issues for algebraic groups. A number of results from the literature...appear for the first time in a text." –Mathematical Reviews (Review of the Second Edition) "This book is a completely new version of the first edition. The aim of the old book was to present the theory of linear algebraic groups over an algebraically closed field. Reading that book, many people entered the research field of linear algebraic groups. The present book has a wider scope. Its aim is to treat the theory of linear algebraic groups over arbitrary fields. Again, the author keeps the treatment of prerequisites selfcontained. The material of the first ten chapters covers the contents of the old book, but the arrangement is somewhat different and there are additions, such as the basic facts about algebraic varieties and algebraic groups over a ground field, as well as an elementary treatment of Tannaka's theorem. These chapters can serve as a text for an introductory course on linear algebraic groups. The last seven chapters are new. They deal with algebraic groups over arbitrary fields. Some of the material has not been dealt with before in other texts, such as Rosenlicht's results about solvable groups in Chapter 14, the theorem of Borel and Tits on the conjugacy over the ground field of maximal split tori in an arbitrary linear algebraic group in Chapter 15, and the Tits classification of simple groups over a ground field in Chapter 17. The book includes many exercises and a subject index." –Zentralblatt Math (Review of the Second Edition)
 Dewey number
 512/.2
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 WDPF5YW6Bxo
 Image bit depth
 0
 Language note
 English
 LC call number
 QA184205
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Modern Birkhäuser Classics,
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