G-Complete Reducibility, Geometric Invariant Theory and Spherical Buildings
暫譯: G-完全可約性、幾何不變理論與球形建築
Bate, Michael, Martin, Benjamin, Röhrle, Gerhard
- 出版商: Birkhauser Boston
- 出版日期: 2026-06-02
- 售價: $2,690
- 貴賓價: 9.5 折 $2,555
- 語言: 英文
- 頁數: 341
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3032088658
- ISBN-13: 9783032088659
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相關分類:
離散數學 Discrete-mathematics
無法訂購
相關主題
商品描述
The aim of this textbook is to introduce readers at a graduate level to G-complete reducibility and explain some of its many applications across pure mathematics. It is based on the Oberwolfach Seminar of the same name which took place in 2022. The notion of G-complete reducibility for subgroups of a reductive algebraic group is a natural generalisation of the notion of complete reducibility in representation theory. Since its introduction in the 1990s, complete reducibility has been widely studied, both as an important concept in its own right, with applications to the classification and structure of linear algebraic groups, and also as a useful tool with applications in representation theory, geometric invariant theory, the theory of buildings, and number theory.
商品描述(中文翻譯)
本教科書的目的是向研究生層級的讀者介紹 G-完全可約性，並解釋其在純數學中的多種應用。這本書基於2022年舉行的同名 Oberwolfach 研討會。
對於一個還原代數群的子群，G-完全可約性的概念是表示理論中完全可約性概念的自然推廣。自1990年代引入以來，完全可約性已被廣泛研究，既作為一個重要的概念，對於線性代數群的分類和結構有應用，也作為一個有用的工具，應用於表示理論、幾何不變理論、建築理論和數論等領域。
作者簡介
The authors Michael Bate, Benjamin Martin and Gerhard Röhrle have a longstanding collaboration and friendship (20 years and counting). Together they have written 20 papers in and around this subject area, with a lasting impact on the field of algebraic groups (including subgroup structure, representation theory, geometric invariant theory, spherical buildings) and applications to other areas such as metric geometry and number theory.
作者簡介(中文翻譯)
作者 Michael Bate、Benjamin Martin 和 Gerhard Röhrle 擁有長期的合作與友誼（已持續 20 年）。他們共同撰寫了 20 篇與此主題相關的論文，對代數群領域產生了持久的影響（包括子群結構、表示理論、幾何不變理論、球面建築）以及對其他領域如度量幾何和數論的應用。
