Department of
Mathematics
MA 720, Lie Algebras, Spring 2012
Homework | Final Exam Monday, May 7, 1-4
Lectures: MWF 1:30-2:20, SAS 1218.
Instructor: Dr.
Bojko Bakalov, office SAS 3116,
phone 513-7442, E-mail bojko_bakalov at ncsu dot edu
Office Hours: MF 11:00-12:00, W 2:30-3:30, in SAS 3116.
Course Objectives: This is an introductory graduate course in Lie algebras, which is
a part of the Ph.D. qualifying sequence MA 520-720 on Linear and Lie Algebra.
The course will start with basic concepts in Lie algebras such as subalgebras,
ideals, homomorphisms, and derivations. Then we will discuss various properties
of solvable, nilpotent, and semi-simple Lie algebras. In particular, we will
study the structure and representation theory of the smallest semi-simple Lie
algebra sl(2,F). At the end of the course, students will have a
basic understanding of Lie algebras that will allow them to continue their
study of this important area of Mathematics if they so desire.
Prerequisites: MA 520 or equivalent.
Text: Lecture Notes in Lie Algebra, 2012 edition, by K.C. Misra.
Web Resources: calendars and exam
schedules, math
courses, history of
mathematics, Wikipedia.
Homework will be assigned regularly but will not be collected or graded.
Selected problems will be discussed in class. A key to success in this course
is doing as many of the homework problems as you can. Homework Assignments can be found here.
Tests: There will be two in-class tests, two take-home tests and a cumulative final exam (on Monday, May 7, 1-4). Calculators are not permitted on exams.
If you miss a test, I will need a letter documenting the reason. Makeup tests can only be given for reasons such as illness, family emergency, participation in a University-sponsored event, required court attendance or military duty, or religious observances as certified by the Department of Student Development. If you know you will be absent on a test date, you must clear the absence with me in advance and schedule a makeup date. In the case of an unanticipated absence on a test date, you must give me documentation and schedule a makeup date as soon as possible. Keep the day and time of the final exam in mind when scheduling plane tickets or making other obligations as the university has strict policies on missing the final exam. See the University policies.
Grade will be determined from the average of test grades.
Each of the four midterm tests will have weight 1/6, and the final exam 1/3.
The 10-point scale with +/- will be used. In
borderline cases, attendance will be taken into account.
Attendance: Students are expected to arrive on time, to
contribute to group work and class discussions, and to stay until the class
ends. Attendance at all meetings of the class is expected and will be recorded.
Occasional absences will be approved if they meet University
policies.
H1N1 Information: If you are ill with symptoms of H1N1 influenza
(i.e., fever over 100, sore throat, cough, stuffy or runny nose, fatigue,
headache, body aches, vomiting and diarrhea) please do not come to class.
Instead, immediately contact your medical provider or Student Health Services
(515-7107) for advice or to arrange an appointment. If you are diagnosed with
H1N1, please inform your instructor immediately. You will be required to be
isolated away from class for up to 7 days or 24 hours after symptoms subside,
whichever is longest.
Adverse Weather: Announcements regarding scheduled delays or the
closing of the University due to adverse weather conditions will be broadcast
on local radio and television stations and posted on the University homepage.
Cell Phones: Pagers, cellular phones and other types of
telecommunication equipment are prohibited from use during class. Make sure
that any pagers, phones or other equipment are turned off during the class
period. If you have a special need to have your pager or phone on during class,
please let me know.
Academic Integrity Statement: Students are required to follow the NCSU
policy. “Academic dishonesty is the giving, taking, or presenting of
information or material by a student that unethically or fraudulently aids
oneself or another on any work which is to be considered in the determination
of a grade or the completion of academic requirements or the enhancement of
that student's record or academic career.’’ (NCSU Code of Student Conduct).
The Student Affairs website
has more information.
Students with Disabilities: Reasonable accommodations will be made for
students with verifiable disabilities. In order to take advantage of available
accommodations, students must register with Disabilities
Services for Students.
Class Evaluations: Online class evaluations will be available for
students to complete during the last two weeks of class. Students will
receive an email message directing them to a website where they can login using
their Unity ID and complete evaluations. All evaluations are
confidential; instructors will never know how any one student responded to any
question, and students will never know the ratings for any particular
instructors.