| 書目名稱 | Combinatorial Methods | | 副標(biāo)題 | Free Groups, Polynom | | 編輯 | Alexander A. Mikhalev,Vladimir Shpilrain,Jie-Tai Y | | 視頻video | http://file.papertrans.cn/230/229938/229938.mp4 | | 概述 | Includes supplementary material: | | 叢書名稱 | CMS Books in Mathematics | | 圖書封面 |  | | 描述 | This book is about three seemingly independent areas of mathematics: combinatorial group theory, the theory of Lie algebras and affine algebraic geometry. Indeed, for many years these areas were being developed fairly independently. Combinatorial group theory, the oldest of the three, was born in the beginning of the 20th century as a branch of low-dimensional topology. Very soon, it became an important area of mathematics with its own powerful techniques. In the 1950s, combinatorial group theory started to influence, rather substantially, the theory of Lie algebrasj thus combinatorial theory of Lie algebras was shaped, although the origins of the theory can be traced back to the 1930s. In the 1960s, B. Buchberger introduced what is now known as Gr?bner bases. This marked the beginning of a new, "combinatorial", era in commu- tative algebra. It is not very likely that Buchberger was directly influenced by ideas from combinatorial group theory, but his famous algorithm bears resemblance to Nielsen‘s method, although in a more sophisticated form. | | 出版日期 | Book 2004 | | 關(guān)鍵詞 | Dimension; Group theory; Lie; Topology; algebra; algebraic geometry; geometry; mapping; mathematics; theorem | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-21724-6 | | isbn_softcover | 978-1-4419-2344-8 | | isbn_ebook | 978-0-387-21724-6Series ISSN 1613-5237 Series E-ISSN 2197-4152 | | issn_series | 1613-5237 | | copyright | Springer Science+Business Media New York 2004 |
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