Proves the conjectured V/L recursion for Macdonald's 7th variation Schur polynomials.
Loop symmetric functions and factorizing matrix polynomials
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abstract
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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The V/L recursion for Macdonald's 7th Variation Schur polynomials
Proves the conjectured V/L recursion for Macdonald's 7th variation Schur polynomials.