| 书目名称 | Representations of Hecke Algebras at Roots of Unity |
| 编辑 | Meinolf Geck,Nicolas Jacon |
| 视频video | |
| 概述 | Offers the first systematic and unified treatment of representations of Hecke algebras at roots of unity.Written by leading experts in the field.Uses a number of concrete examples to clearly explain t |
| 丛书名称 | Algebra and Applications |
| 图书封面 |  |
| 描述 | The modular representation theory of Iwahori-Hecke algebras and this theory‘s connection to groups of Lie type is an area of rapidly expanding interest; it is one that has also seen a number of breakthroughs in recent years. In classifying the irreducible representations of Iwahori-Hecke algebras at roots of unity, this book is a particularly valuable addition to current research in this field. Using the framework provided by the Kazhdan-Lusztig theory of cells, the authors develop an analogue of James‘ (1970) "characteristic-free‘‘ approach to the representation theory of Iwahori-Hecke algebras in general.Presenting a systematic and unified treatment of representations of Hecke algebras at roots of unity, this book is unique in its approach and includes new results that have not yet been published in book form. It also serves as background reading to further active areas of current research such as the theory of affine Hecke algebras and Cherednik algebras.The main results of this book are obtained by an interaction of several branches of mathematics, namely the theory of Fock spaces for quantum affine Lie algebras and Ariki‘s theorem, the combinatorics of crystal bases, the theor |
| 出版日期 | Book 2011 |
| 关键词 | Canonical bases; Fock spaces; Hecke algebras; Modular representations |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-0-85729-716-7 |
| isbn_softcover | 978-1-4471-2657-7 |
| isbn_ebook | 978-0-85729-716-7Series ISSN 1572-5553 Series E-ISSN 2192-2950 |
| issn_series | 1572-5553 |
| copyright | Springer-Verlag London Limited 2011 |
发表于 2025-3-21 17:57:18
