Loop symmetric functions and factorizing matrix polynomials

Details Loop symmetric functions and factorizing matrix polynomials Loop symmetric functions and factorizing matrix polynomials

2010-12-06

arxiv.org/abs/1012.1262v1

Mathematics

Combinatorics

18 pages

Scientific paper

These are notes for my talk at ICCM 2010, Beijing. We survey some results,
obtained jointly with Pavlo Pylyavskyy, concerning the ring of loop symmetric
functions. Motivations from networks on surfaces, total positivity, crystal
graphs, and discrete integrable systems are discussed.

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