MATH 293
Undergraduate Research Topics in Representation Theory
Fall 2016
Division III
Quantitative/Formal Reasoning
This is not the current course catalog
Class Details
Central to the study of the representation theory of Lie algebras is the computation of weight multiplicities by using Kostant’s weight multiplicity formula. This formula is an alternating sum over a finite group, and involves a partition function. In this tutorial, we will address questions regarding the number of terms contributing nontrivially to the sum and develop closed formulas for the value of the partition function. Techniques used include generating functions and counting arguments, which are at the heart of combinatorics and are accessible to undergraduate students.
The Class:
Format: tutorial
Limit: 10
Expected: 10
Class#: 1284
Grading: no pass/fail option, no fifth course option
Limit: 10
Expected: 10
Class#: 1284
Grading: no pass/fail option, no fifth course option
Requirements/Evaluation:
written assignments, oral presentations
Extra Info:
may not be taken on a pass/fail basis; not available for the fifth course option
Prerequisites:
permission of instructor
Enrollment Preferences:
programming experience, students with interests in the intersection of combinatorics and abstract algebra
Distributions:
Division III
Quantitative/Formal Reasoning
Class Grid
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MATH 293 - T1 (F) TUT Undergraduate Research Topics
MATH 293 - T1 (F) TUT Undergraduate Research TopicsDivision III Quantitative/Formal ReasoningTBA1284
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