Perfectness of Kirillov-Reshetikhin crystals for nonexceptional types
Ghislain Fourier, Masato Okado, Anne Schilling
TL;DR
This paper proves a conjecture regarding the perfectness of Kirillov-Reshetikhin crystals for nonexceptional types, confirming a key property in the theory of quantum affine algebras.
Contribution
It establishes the conjecture of Hatayama et al. on the perfectness of Kirillov-Reshetikhin crystals for nonexceptional types, advancing understanding in algebraic combinatorics.
Findings
Confirmed the conjecture for nonexceptional types
Established the perfectness property of the crystals
Contributed to the theory of quantum affine algebras
Abstract
For nonexceptional types, we prove a conjecture of Hatayama et al. about the prefectness of Kirillov-Reshetikhin crystals.
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