4 problems

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Lusztig's grading conjecture for Kirillov–Reshetikhin modules
Let a Kirillov–Reshetikhin module be a module whose ordinary character restriction has the conjectural graded formula of Hatayama, Kuniba, Okado, Takagi and Yamada; consider the cl…
Conjectureopengraded-characters quantum-affine-algebras representation-theoryarXiv posted 2 days ago
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The refined character product conjecture for general Kac–Moody Lie algebras
The refined character product conjecture. One has
Conjectureopengraded-characters kac-moody-algebras quantum-groupsarXiv posted 2 days ago
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Cancellation-free identity for graded characters of level-zero Demazure submodules in type C
Cancellation-free identity. There exists some $m\leq l\leq n$ such that
Conjectureopendemazure-modules graded-characters quantum-affine-algebrasarXiv posted 2 days ago
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The graded-character conjecture for KR-modules of types BCD
Let $I$ be the set of Dynkin labels, let $I_<\subset I$ be the labels of the short roots in types $B_N$ and $C_N$ , and let $t_a=2$ for $a\in I_<$ and $t_a=1$ otherwise. Let…
Conjectureopendifference-operators graded-characters kirillov-reshetikhin-modulesarXiv posted 2 days ago

Lusztig's grading conjecture for Kirillov–Reshetikhin modules