Darstellungstheorietage and Nikolaus Conference 2013

Speaker: Thomas Gerber

Title: An Analogue of the Robinson-Schensted-Knuth Algorithm in Affine Type \(A\)

Abstract: The Robinson-Schensted-Knuth (RSK) insertion procedure has a natural interpretation in terms of crystals in type \(A\). In this talk, I make explicit a particular crystal isomorphism for Fock spaces representations of \(\mathcal{U}_q(\widehat{\mathfrak{sl}_e})\). This gives a combinatorial procedure generalising the RSK correspondence to the affine case.