5 papers · 1 filter
Towards Monoidal Categorifications of Twisted Products of Flag Varieties
Yingjin Bi
Let be a simple, simply connected algebraic group of simply-laced type. For a positive braid word and , we study the cluster algebra associated with the twisted p…
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…