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Categorification of quantum symmetric pairs I. (arXiv:1605.03780v3 [math.RT] UPDATED)
来源于:arXiv
We categorify a coideal subalgebra of the quantum group of
$\mathfrak{sl}_{2r+1}$ by introducing a $2$-category \`a la
Khovanov-Lauda-Rouquier, and show that self-dual indecomposable $1$-morphisms
categorify the canonical basis of this algebra. This allows us to define a
categorical action of this coideal algebra on the categories of modules over
cohomology rings of partial flag varieties and on the BGG category
$\mathcal{O}$ of type B/C. 查看全文>>
