Symmetric Functions

Subject: 
Combinatorics & Optimization (CO)
Catalog number: 
631
Unit weight: 
0.50
Meet type: 
LEC
Grading basis: 
NUM
Cross-listing(s): 
N/A
Requisites: 
N/A
Description: 
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.
Topic titles: 
N/A
Faculty: 
Mathematics (MAT)
Academic level: 
GRD
Course ID: 
014211