Announcements:

PRELIM March 12.

The exam will be available at 1pm in the Mathematics library; you have 5hrs from when check it out until completion when you turn it in at the desk. You may use the Texts and Notes, and ask me questions. No other outside help allowed.

The Mathematics Library is open from 1pm to 10pm on Sunnday.

Syllabus and Course Schedule

Lecturer	Lecture Times	Office Hours	E-mail
Dan Barbasch	MWF 11:15 - 12:05PM 207MLT	MTue 1:00 - 2:00PM or by appt. 543MLT	dmb14@cornell.edu

TA	Office Hours	E-mail
Tair Akhmejanov	TuThu 2-3pm	ta328@cornell.edu

Text: Brian Hall, Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Springer-Verlag, 2015, second edition.

Text: Brian Hall, Lie Groups, Lie Algebras, and Representations: An Elementary Introduction, Springer-Verlag, 2003, first edition.

Additional Resources:

Kristopher Tapp, Matrix groups for Undergraduates, Student Mathematical Library, volume 29.
John Stillwell, Naive Lie Theory, Springer Undergraduate Texts in Mathematics.
Alexander Kirillov, Jr., An Introduction to Lie Groups and Lie Algebras.
C. C. Pugh, Real Mathematical Analysis, Chapters 1 and 2
S. Axler, Linear Algebra Done Right
J. M. Lee, introduction to Toplogical Manifods

These texts are available on line through the Cornell Library.

Grading:

20%+20%+30%=70% for the prelims and final
30% for homework and warmup exercises

Examinations: There will be two prelims and a final, some in class others Take-Home.

Homework: There will usually be one problem set each week due on Fridays. You may work alone or in groups on the homework, and we will answer your questions, but the solutions you hand in should be your own write-up. From each problem set, a small number of problems chosen by the TA for careful grading. No late homework will be accepted. Your homework is a document that another person has to read. TA's are not obliged to grade unreasonably messy or unstapled papers!

Warmup for Class: Each class will be preceded by a warmup assignment to be completed before class, and uploaded to the balckboard web site. it will usually consist of a reading assignment and exercises relevant to the material to be covered.

Prerequisites: MATH 2210-2220, 2230-2240, or 1920 and 2940. Basic knowledge of groups, rings and fields, basic topology and manifolds is very helpful. You will have the opportunity to catch up on the more advanced material.

Academic Integrity: Each student in this course is expected to abide by the Cornell University Code of Academic Integrity. In this course, as stated above, students may work in groups on the homework, but the solutions you hand in should be your own write-up.