书目名称 | Lie Algebras and Algebraic Groups |
编辑 | Patrice Tauvel,Rupert W. T. Yu |
视频video | |
概述 | Devoted to the theory of Lie algebras and algebraic groups.Includes a considerable amount of commutative algebra and algebraic geometry so as to make the book as self-contained as possible.Includes al |
丛书名称 | Springer Monographs in Mathematics |
图书封面 |  |
描述 | The theory of groups and Lie algebras is interesting for many reasons. In the mathematical viewpoint, it employs at the same time algebra, analysis and geometry. On the other hand, it intervenes in other areas of science, in particularindi?erentbranchesofphysicsandchemistry.Itisanactivedomain of current research. Oneofthedi?cultiesthatgraduatestudentsormathematiciansinterested in the theory come across, is the fact that the theory has very much advanced, andconsequently,theyneedtoreadavastamountofbooksandarticlesbefore they could tackle interesting problems. One of the goals we wish to achieve with this book is to assemble in a single volume the basis of the algebraic aspects of the theory of groups and Lie algebras. More precisely, we have presented the foundation of the study of ?nite-dimensional Lie algebras over an algebraically closed ?eld of characteristic zero. Here, the geometrical aspect is fundamental, and consequently, we need to use the notion of algebraic groups. One of the main di?erences between this book and many other books on the subject is that we give complete proofs for the relationships between algebraic groups and Lie algebras, instead of admitting them. We h |
出版日期 | Book 2005 |
关键词 | Abstract algebra; Algebra; Algebraic geometry; Algebraic groups; Commutative algebra algebra algebras; Za |
版次 | 1 |
doi | https://doi.org/10.1007/b139060 |
isbn_softcover | 978-3-642-06333-6 |
isbn_ebook | 978-3-540-27427-8Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
issn_series | 1439-7382 |
copyright | Springer-Verlag Berlin Heidelberg 2005 |