11:00--11:50
MWF Taft Hall 301
Daily assignments, comments, etc: updated periodically; last update 08/27/07
Text and Author: Introduction to Lie algebas and Representation Theory, by James E. Humphreys
Basic topics covered: Basic theory of Lie algebras, solvable and nilpotent Lie algebras, weights and representations of sl(2, F), complete reducibility of representations, root systems and the classification of semisimple Lie algebras, the universal enveloping algebra.
Credit hours: 4 graduate
hours.
Prerequisites: Math 516.
Grading: Written homework sets (5) 100%
Written Homework: Written assignments are due at the beginning of class on indicated dates. Solutions to written homework problems will be posted on the course homepage.
It is suggested that you do as many of the practice problems in the text as you can. These are NOT to be turned in.
Academic Honesty: Students are expected to be thoroughly familiar with the University's policy on academic integrity. See the Guidelines Regarding Academic Integrity section in the 2005-2007 Undergraduate Catalog. The University has instituted serious penalties for academic dishonesty. We have encouraged you to work with your classmates on homework. Regarding written assignments, hour exams, and the final examination: Copying work to be submitted for grade, or allowing your work to be submitted for grade to be copied, is considered academic dishonesty.
Students with Disabilities: It is University policy that students with disabilities who require accommodations for access and participation in this course must be registered with the Office of Disability Services (ODS); phone number 312-413-2103.
Syllabus
Sections 1.1--11.4, 17.2 of the text.
Daily Assignments,Written Homework, and Comments
Week
Date Sections Page/ Practice
Problems; Comments
1
08/27 1.1--1.2 5: 1--3
08/29 1.2--1.4 5: 4--6, 11, 12
08/31 2.1 9: 1, 2, 7
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2 09/03
09/05 2.2 10: 5
09/07 2.3 10: 12
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3 09/10 3.1
09/12 3.2 14: 1--4
09/14 3.3
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4 09/17 4.1
09/19 4.2
09/21 4.3
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5
09/24 5.1
09/26 5.2
09/28 5.3
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6 10/01
5.4
10/03 6.1
10/05 6.1-6.2 30: 3--5
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7
10/08 6.2
10/10 6.3
10/12 6.4
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8 10/15
7.1--7.2
10/17 7.2
10/19 8.1
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9 10/22
8.2
10/24 8.3
10/26 8.4
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10 10/29 8.5
10/31 8.5
11/02 9.1
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11 11/05 9.2
11/07 9.3
11/09 9.4
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12 11/12 10.1
11/14 10.1
11/16 10.2
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13 11/19 10.3
11/21 10.4
11/23
14 11/26 10.4
11/28 11.1
11/30 11.2
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15 12/03 11.3
12/05 11.4
12/07 17.2
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16
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Last updated August 27, 2007 by David Radford