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課程名稱 |
近世代數一
Modern Algebra (Ⅰ) |
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開課學期 |
105-1 |
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授課對象 |
理學院 數學系 |
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授課教師 |
康明昌 |
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課號 |
MATH5001 |
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課程識別碼 |
221 U6140 |
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班次 |
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學分 |
3 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期一3,4(10:20~12:10)星期四8,9(15:30~17:20) |
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上課地點 |
天數305天數305 |
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備註 |
總人數上限：40人 |
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課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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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
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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.
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課程要求 |
待補 |
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預期每週課後學習時數 |
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Office Hours |
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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.
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指定閱讀 |
待補 |
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
HOMEWORKS |
20% |
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2. |
EXAM |
80% |
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