| 书目名称 | Linear Algebraic Groups | | 编辑 | Armand Borel | | 视频video | | | 概述 | Reprint of a successful expanded edition of a well-received book.Presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces.Requires only some familia | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | 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 spaces. After establishing these basic topics, the text then turns to solvable groups, general properties of linear algebraic groups and Chevally‘s structure theory of reductive groups over algebraically closed groundfields. The remainder of the book is devoted to rationality questions over non-algebraically closed fields. This second edition has been expanded to include material on central isogenies and the structure of the group of rational points of an isotropic reductive group. The main prerequisite is some familiarity with algebraic geometry. The main notions and results needed are summarized in a chapter with references and brief proofs. | | 出版日期 | Textbook 1991Latest edition | | 关键词 | Lie algebra; algebra; algebraic group; commutative algebra; linear algebra | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4612-0941-6 | | isbn_softcover | 978-1-4612-6954-0 | | isbn_ebook | 978-1-4612-0941-6Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media New York 1991 |
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发表于 2025-3-21 17:07:58
