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CO 631Symmetric Functions

Units
0.50
Level
Graduate
Faculty
Mathematics
Subject
Combinatorics and Optimization

CO 631 as listed in the Spring 2026 Graduate Calendar. The main page has the current version, when it runs, and seats.

The ring of symmetric functions, standard bases, the Hall inner product. Young tableaux. The Robinson-Schensted-Knuth correspondence, the hook-length formula, the Jacobi-Trudi formula, the Pieri rule, the Littlewood-Richardson rule. Representation theory of the symmetric groups. Enumeration of plane partitions. Enumeration of maps on surfaces. Other topics.

Prerequisites

None listed.

Antirequisites

None listed.

Leads to

No course lists it as a requisite.

Check it elsewhere for Spring 2026

Calendar versions

Graduate Calendar

Older Graduate Calendars

In 27 terms, Fall 2011 to Winter 2024