課程資訊
課程名稱
近世代數一
Modern Algebra (Ⅰ) 
開課學期
105-1 
授課對象
理學院  數學研究所  
授課教師
康明昌 
課號
MATH5001 
課程識別碼
221 U6140 
班次
 
學分
全/半年
半年 
必/選修
選修 
上課時間
星期一3,4(10:20~12:10)星期四8,9(15:30~17:20) 
上課地點
天數305天數305 
備註
總人數上限:40人 
 
課程簡介影片
 
核心能力關聯
本課程尚未建立核心能力關連
課程大綱
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課程概述

*Contents:This is a course on the group representation theory. First we will review some basic notions of group theory such as, group actions, non-abelian simple groups, group extensions, etc.. Then we will embark on representation theory : Wedderburn Theorem, Mashke Theorem, characters of finite groups, induced representations, Mackey’s theory, projective modules of group algebras, Brauer’s cde triangle, block theory, modular representation theory.

Course prerequisite:Undergraduate course in algebra
 

課程目標
*Course Goal:
Representation theory is a basic tool in mathematics. It is used by algebraists, number theorists, geometers, and algebraic topologists. We hope that the students will be confident with group representation after they finish this course.
 
課程要求
待補 
預期每週課後學習時數
 
Office Hours
 
參考書目
*Reference material ( textbook(s) ):
We will use the lecture notes of Cameron and Webb as the main textbooks:
Peter J. Cameron, Notes on finite group theory, 2013;
I. Martin Isaacs, Finite group theory, 2008;
Peter Webb, A course in finite group representation theory, 2016;
Robert A. Wilson, The finite simple groups, 2009;
E. B. Vinberg, Linear representations of groups, 1989.
 
指定閱讀
待補 
評量方式
(僅供參考)
 
No.
項目
百分比
說明
1. 
HOMEWORKS  
20% 
 
2. 
EXAM 
80% 
 
 
課程進度
週次
日期
單元主題