I was invited to give several lectures on representation theory for my undergraduate friends. Here are the slides. There would be some uploading for sake of mistakes or typo.
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Lecture 0 The Schedule |
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Lecture 1 Structure of algebras and groups (I) Slide: Lecture_1(20200709).pdf Remark: semisimple algebras Date: 2020 July 9 |
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Lecture 2 Structure of algebras and groups (II) Slide: Lecture_2(20200725)(2).pdf Remark: Lie groups and Lie algebras Date: 2020 July 13 |
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Lecture 3 Representation of finite groups (I) Slide: Lecture_3(20200716).pdf Remark: general results Date: 2020 July 16 |
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Lecture 4 Representation of finite groups (II) Slide: Lecture_4(20200720).pdf Remark: symmetric group Date: 2020 July 20 |
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Lecture 5 Representation of Lie algebras (I) Slide: Lecture_5(20200725)(2).pdf Remark: general results Date: 2020 July 25 |
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Lecture 6 Representation of Lie algebras (II) Slide: Lecture_6(20200730).pdf Remark: special linear algebra Date: 2020 July 28 |
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Lecture 7 Structure of algebras and groups (III) Slide: Lecture_7(20200720).pdf Remark: associative algebras Date: 2020 July 31 |
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Lecture 8 Representation of associative algebras (I) Slide: Lecture_8(20200803).pdf Remark: Auslander--Reiten quivers Date: 2020 August 3 |
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Lecture 9 Representation of associative algebras (II) Slide: Lecture_9(20200803).pdf Remark: hereditary algebras Date: 2020 August 3 |
I hope there will be more such lectures like ``overview of algebraic topology'', ``overview of number theory'', ``overview of geometry'' etc showing the big picture and presenting the knowledge an undergraduate student could know.