5 papers · 1 filter
Towards Monoidal Categorifications of Twisted Products of Flag Varieties
Yingjin Bi
Let be a simple, simply connected, simply laced algebraic group. We construct a monoidal category of representations of the quantum affine algebra …
On cluster structures of bosonic extensions
Yingjin Bi
We study quantum cluster structures on bosonic extensions of quantum unipotent coordinate rings. For a positive braid group element , Kashiwara--Kim--Oh--…
Monoidal categorification on open Richardson varieties
Yingjin Bi
In this paper, we show that the subcategory of modules over quiver Hecke algebras is a monoidal categorification of the coordinate ring of any open Richardson v…
Multiplication formula for Hernandez and Leclerc's quivers with potentials
Yingjin Bi
In this paper, we study multiplication formula of -polynomial of representations of Hernandez and Leclerc's quivers with potentials. Since the truncated -characters of some r…
Geometrizations of quantum groups and dual semicanonical bases
Yingjin Bi
In this paper, we give a geometrization of semicanonical bases of quantum groups via Grothendieck groups of the derived categories of Lusztig's nilpotent varieties. Meanwhile, we d…