18.318 Topics in Algebraic Combinatorics

Spring 2006

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.)

Course Highlights

This course features lecture notes, assignments, and a projects section.

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.
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Staff

Instructor:
Prof. Richard Stanley

Course Meeting Times

Lectures:
Three sessions / week
1 hour / session

Level

Graduate