2 problems

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The odd-shift inclusion conjecture for symbol components
Odd-shift inclusion conjecture. If $k$ is odd, then $X_1\subset X_2$ .
Conjectureopencrystal-combinatorics crystal-isomorphisms mullineux-involutionarXiv posted 2 days ago
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The conjecture on the uniform rigged configuration bijection
Let $B$ be a tensor product of Kirillov--Reshetikhin crystals of affine type. Let $\operatorname{RC}(B)$ be the corresponding set of rigged configurations, let $\eta$ interchange r…
Conjectureopencombinatorial-r-matrix crystal-isomorphisms rigged-configurationsarXiv posted 2 days ago

The odd-shift inclusion conjecture for symbol components