Existence of Kirillov–Reshetikhin crystals for near adjoint nodes in exceptional types

Biswal, 2020, Existence of Kirillov–Reshetikhin crystals for multiplicity free nodes, Publ. Res. Inst. Math. Sci., 56, 761, 10.4171/PRIMS/56-4-4 Chari, 1994 Di Francesco, 2008, Proof of the combinatorial Kirillov-Reshetikhin conjecture, Int. Math. Res. Not. (7), 57 Hernandez, 2006, The Kirillov-Reshetikhin conjecture and solutions of T-systems, J. Reine Angew. Math., 596, 63 Hernandez, 2010, Kirillov–Reshetikhin conjecture: the general case, Int. Math. Res. Not., 1, 149 Hatayama, 1999, Remarks on fermionic formula, vol. 248, 243 Hatayama, 2002, Paths, crystals and fermionic formulae, vol. 23, 205 Kac, 1990 Kashiwara, 1991, On crystal bases of the Q-analogue of universal enveloping algebras, Duke Math. J., 63, 465, 10.1215/S0012-7094-91-06321-0 Kashiwara, 1994, Crystal bases of modified quantized enveloping algebra, Duke Math. J., 73, 383, 10.1215/S0012-7094-94-07317-1 Kashiwara, 2002, On level-zero representations of quantized affine algebras, Duke Math. J., 112, 117, 10.1215/S0012-9074-02-11214-9 Kang, 1992, Perfect crystals of quantum affine Lie algebras, Duke Math. J., 68, 499, 10.1215/S0012-7094-92-06821-9 Kleber, 1998 Lusztig, 1990, Finite dimensional Hopf algebras arising from quantized universal enveloping algebras, J. Am. Math. Soc., 3, 257 Lusztig, 1992, Canonical bases in tensor products, Proc. Natl. Acad. Sci. USA, 89, 8177, 10.1073/pnas.89.17.8177 Lusztig, 1993, Introduction to Quantum Groups, vol. 110 Nakajima, 2003, t-analogs of q-characters of Kirillov-Reshetikhin modules of quantum affine algebras, Represent. Theory, 7, 259, 10.1090/S1088-4165-03-00164-X Nakajima, 2004, Extremal weight modules of quantum affine algebras, vol. 40, 343 Naoi, 2018, Existence of Kirillov–Reshetikhin crystals of type G2(1) and D4(3), J. Algebra, 512, 47, 10.1016/j.jalgebra.2018.06.029 Okado, 2008, Existence of Kirillov-Reshetikhin crystals for nonexceptional types, Represent. Theory, 12, 186, 10.1090/S1088-4165-08-00329-4 2019 Scrimshaw, 2020, Uniform description of the rigged configuration bijection, Sel. Math. New Ser., 26, 10.1007/s00029-020-00564-8