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Topics in Algebraic Combinatorics
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18.318 Topics in Algebraic Combinatorics
As taught in:
Spring 2006
Level:
Graduate
Instructors:
Prof. Richard Stanley
Course Features
Course Highlights
Course Description
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 Features
Selected lecture notes
Assignments (no solutions)
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.
