CO 430 – LEC 0.50 – Course ID: 003902 – Algebraic Enumeration

The algebra of Laurent series and Lagrange’s Implicit Function Theorem, enumerative theory of planar embeddings (maps). The ring of symmetric functions: Schur functions, orthogonal bases, inner product, Young tableaux and plane partitions. Non-intersecting paths, sieve methods, partially ordered sets and Mobius inversion, strings with forbidden substrings, the Cartier-Foata commutation monoid. Introduction to the group algebra of the symmetric group, enumerative applications of sl(2). [Offered: F] Prereq: CO 330; Cumulative overall average of at least 80%; Not open to General Mathematics students





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