Topics in Algebraic Combinatorics

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.)


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As Taught In

Spring 2006



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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.

Related Content

Richard Stanley. 18.318 Topics in Algebraic Combinatorics, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), (Accessed). License: Creative Commons BY-NC-SA

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