Kashiwara's tensor-product conjecture for finite affine crystals
A finite-dimensional affine crystal is a crystal arising from a finite-dimensional module over . A Kirillov–Reshetikhin crystal is one of the distinguished affine crystals associated with a Kirillov–Reshetikhin module.
Kashiwara's conjecture. Every good finite-dimensional affine crystal, that is, every good crystal arising from a -module, is a tensor product of Kirillov–Reshetikhin crystals.
The claim concerns the classification of affine crystals, for which the source says that many questions remain open. No resolution of this conjecture is supplied.
References
Primary source
Nicolas M. Thiéry, “Algèbre combinatoire et effective: des graphes aux algèbres de Kac, via l'exploration informatique”, arXiv:0912.2619 (2009).
Additional references
2 papers in this index state this conjecture (2008–2009). The statement above is taken from the most recent of them; the others are arXiv:0806.3131.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
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