This book is a revised and enlarged edition of "Linear Algebraic Groups", published by W.A. Benjamin in 1969. The text of the first edition has been corrected and revised. Accordingly, this book presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spa
Linear algebraic groups
โ Scribed by James E. Humphreys
- Book ID
- 127420869
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 2 MB
- Series
- Graduate texts in mathematics 021
- Edition
- 4
- Category
- Library
- ISBN
- 0387901086
No coin nor oath required. For personal study only.
โฆ Synopsis
James E. Humphreys is presently Professor of Mathematics at the University of Massachusetts at Amherst. Before this, he held the posts of Assistant Professor of Mathematics at the University of Oregon and Associate Professor of Mathematics at New York University. His main research interests include group theory and Lie algebras. He graduated from Oberlin College in 1961. He did graduate work in philosophy and mathematics at Cornell University and later received hi Ph.D. from Yale University if 1966. In 1972, Springer-Verlag published his first book, "Introduction to Lie Algebras and Representation Theory" (graduate Texts in Mathematics Vol. 9).
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The general problem underlying this article is to give a qualitative classification ลฝ . of all compact subgroups โซ ; GL F , where F is a local field and n is arbitrary. It is natural to ask whether โซ is an open compact subgroup of H E , where H is a linear algebraic group over a closed subfield E ;