MATH 293
Undergraduate Research Topics in Representation Theory Fall 2016 Division III; Quantative/Formal Reasoning;
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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: Type: tutorial
Limit: 10
Expected: 10
Class#: 1284
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 Preference: programming experience, students with interests in the intersection of combinatorics and abstract algebra
Distributions: Division III; Quantative/Formal Reasoning;

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