1 citations · 1 across the 5 of their papers we have counts for
6 papers
-affine quantum groups as K-theoretic Hall algebras
You-Hung Hsu
In this note, we show that the positive part of Arkhipov-Mazin's -affine quantum group can be realized as the K-theoretic Hall algebra of the type Dynkin quiver. We then con…
On the Springer correspondence for wreath products
You-Hung Hsu, Chun-Ju Lai
We establish a Bruhat decomposition indexed by the wreath product between two symmetric groups -- note that is not a Coxeter group in general. We show tha…
Categorical idempotents via shifted 0-affine algebras
You-Hung Hsu
We show that a categorical action of shifted 0-affine algebra naturally gives two families of pairs of complementary idempotents in the triangulated monoidal category of triangulat…
Semiorthogonal decomposition via categorical action
You-Hung Hsu
We show that the categorical action of the shifted affine algebra can be used to construct semiorthogonal decomposition on the weight categories. In particular, this construc…
Exceptional collections, t-structures, and categorical action of shifted affine algebra, case
You-Hung Hsu
In this article, we show that the categorical action of the shifted affine algebra can be used to construct (or induce) t-structures on the weight categories. The main idea i…
A categorical action of the shifted affine algebra
You-Hung Hsu
We introduce a new algebra called the shifted affine algebra, which arises naturally from the study of coherent sheaves on Grassmannians and n-step partial flag varieties via…