A combinatorial approach towards Littlewood-type identities related to alternating sign matrices

Hans Höngesberg
Polish Academy of Sciences

"The well-known Littlewood identity describes the sum over all Schur functions
as a simple product formula. A standard combinatorial proof is by the famous
Robinson-Schensted-Knuth correspondence. Fischer has recently established an
identity related to alternating sign matrices which resembles the classical
Littlewood identity. We present a variant of this identity and provide a
bijective proof. In a special case, this comprises urban renewal, a powerful
trick in matching theory.
This is joint work with Ilse Fischer, Moritz Gangl and Florian
Schreier-Aigner."


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