18.318 Topics in Algebraic Combinatorics

As taught in: Spring 2006

Figure showing an example of Young's lattice.

Young's lattice Y, the poset of all partitions of all nonnegative integers, ordered by containment of their Young diagrams. (Image by Prof. Richard Stanley.)

Level:

Graduate

Instructors:

Prof. Richard Stanley

Course Features

Course Description

The course consists of a sampling of topics from algebraic combinatorics. The topics include the matrix-tree theorem and other applications of linear algebra, applications of commutative and exterior algebra to counting faces of simplicial complexes, and applications of algebra to tilings.