Existence of Kirillov–Reshetikhin Crystals for Multiplicity-Free Nodes

Rekha Biswal; Travis Scrimshaw

doi:10.4171/prims/56-4-4

JournalsprimsVol. 56, No. 4pp. 761–778

Existence of Kirillov–Reshetikhin Crystals for Multiplicity-Free Nodes

Rekha Biswal
Max-Planck-Institut für Mathematik, Bonn, Germany
Travis Scrimshaw
The University of Queensland, Brisbane, Australia

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Abstract

We show that the Kirillov–Reshetikhin crystal $B^{r, s}$ exists when $r$ is a node such that the Kirillov–Reshetikhin module $W^{r, s}$ has a multiplicity-free classical decomposition.

Cite this article

Rekha Biswal, Travis Scrimshaw, Existence of Kirillov–Reshetikhin Crystals for Multiplicity-Free Nodes. Publ. Res. Inst. Math. Sci. 56 (2020), no. 4, pp. 761–778

DOI 10.4171/PRIMS/56-4-4