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18745. INTRODUCTION TO LIE ALGEBRAS

tue, thu 11-12:30, room 2-147.

No textbook is used. Lecture notes will be distributed in class. There will be about 10 problem sets (assigned every Tuesday and due the following Tuesday). On March 13 there will be a one hour quiz. In early May you are supposed to submit a final project on a topic not covered in class. The final grade will be based on problem sets (60/%), quiz (20%), final project(20%).

For the quiz of March 13 the questions will be selected from this list.

Please choose one of the following topics for the final project. 1) The theorem of Levi. 2) The theorem of Ado. 3) Conjugacy of Cartan subalgebras. (You can consult for example the book: N.Jacobson, Lie Algebras. Note that Jacobson writes functions on the right: xf instead of fx.) If you prefer another topic please let me know. The final project should be a survey of 4 or 5 pages on one of these topics with some (but not all) proofs. Your paper should be given to me by Tuesday, May 8.

There is no homework due on March 13 (there is a quiz on that day).

Homework 5; due March 20.

Homework 6; due April 3.

Homework 7; due April 10.

Homework 8; due April 19.

Homework 9; due April 24.

Homework 10; due May 1.

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