Geodesic
A categorical action of the shifted $0$-affine algebra
Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e74

Voir la notice de l'article provenant de la source Cambridge University Press

We introduce a new algebra $\mathcal {U}=\dot {\mathrm {\mathbf{U}}}_{0,N}(L\mathfrak {sl}_n)$ called the shifted $0$-affine algebra, which emerges naturally from studying coherent sheaves on n-step partial flag varieties through natural correspondences. This algebra $\mathcal {U}$ has a similar presentation to the shifted quantum affine algebra defined by Finkelberg-Tsymbaliuk. Then, we construct a categorical $\mathcal {U}$-action on a certain 2-category arising from derived categories of coherent sheaves on n-step partial flag varieties. As an application, we construct a categorical action of the affine $0$-Hecke algebra on the bounded derived category of coherent sheaves on the full flag variety. 
Hsu, You-Hung. A categorical action of the shifted $0$-affine algebra. Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e74. doi: 10.1017/fms.2025.17
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