5 citations · 6 across the 5 of their papers we have counts for
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The Poisson degeneracy locus of a flag variety
Élie Casbi, Aria Masoomi, Milen Yakimov
We present a comprehensive study of the degeneracy loci of the full flag varieties of all complex semisimple Lie groups equipped with the standard Poisson structures. The reduced P…
Equivariant multiplicities via representations of quantum affine algebras
Elie Casbi, Jian-Rong Li
For any simply-laced type simple Lie algebra and any height function adapted to an orientation of the Dynkin diagram of , Hernandez-Leclerc int…
Equivariant multiplicities of simply-laced type flag minors
Elie Casbi
Let be a finite simply-laced type simple Lie algebra. Baumann-Kamnitzer-Knutson recently defined an algebra morphism on the coordinate ring $\mathbb{C…
Newton-Okounkov bodies for categories of modules over quiver Hecke algebras
Elie Casbi
We show that for a finite-type Lie algebra , the representation theory of quiver Hecke algebras provides a natural framework for the construction of Newton-Okounkov b…
Dominance order and monoidal categorification of cluster algebras
Elie Casbi
We study a compatibility relationship between Qin's dominance order on a cluster algebra and partial orderings arising from classifications of simple objects in a mon…