| 書(shū)目名稱 | Combinatorics of Coxeter Groups | | 編輯 | Anders Bjorner,Francesco Brenti | | 視頻video | http://file.papertrans.cn/231/230050/230050.mp4 | | 概述 | Coxeter groups have already been exposited from algebraic and geometric perspectives, but this book will be presenting the combinatorial aspects of Coxeter groups | | 叢書(shū)名稱 | Graduate Texts in Mathematics | | 圖書(shū)封面 |  | | 描述 | .Coxeter groups are of central importance in several areas of algebra, geometry, and combinatorics. This ?clear and rigorous exposition focuses on the combinatorial aspects of Coxeter groups, such as reduced expressions, partial order of group elements, enumeration, associated graphs and combinatorial cell complexes, and connections with combinatorial representation theory. ?While Coxeter groups have already been exposited from algebraic and geometric perspectives, this text is the first one to focus mainly on the combinatorial aspects of Coxeter groups...The first part of the book provides a self-contained introduction to combinatorial Coxeter group theory. The emphasis here is on the combinatorics of reduced decompositions, Bruhat order, weak order, and some aspects of root systems. ?The second part deals with more advanced topics, such as Kazhdan-Lusztig polynomials and representations, enumeration, and combinatorial descriptions of the classical finite and affine Weyl groups. A wide ?variety of exercises, ranging from easy to quite difficult are also included. The book will serve graduate students as well as researchers...Anders Bj?rner is Professor of Mathematics at the Royal | | 出版日期 | Textbook 2005 | | 關(guān)鍵詞 | Combinatorics; algebra; graphs; representation theory | | 版次 | 1 | | doi | https://doi.org/10.1007/3-540-27596-7 | | isbn_softcover | 978-3-642-07922-1 | | isbn_ebook | 978-3-540-27596-1Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer-Verlag Berlin Heidelberg 2005 |
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