Do Kien Hoang

collaborators

4 papers

math.RT2024

Around Hikita-Nakajima conjecture for nilpotent orbits and parabolic Slodowy varieties

Do Kien Hoang, Vasily Krylov, Dmytro Matvieievskyi

Let $G$ be a complex reductive algebraic group. In arxiv:2108.03453 Ivan Losev, Lucas mason-Brown and the third-named author suggested a symplectic duality between nilpotent Slodow…

math.RT2024

Hikita conjecture for classical Lie algebras

Do Kien Hoang

Let $G$ be $S p_{2 n}$ , $S O_{2 n}$ or $S O_{2 n + 1}$ and let $G^{\lor}$ be its Langlands dual group. Barbasch and Vogan based on earlier work of Lusztig and Spaltenstein, define a duality…

math.RT2024

The action of component groups on irreducible components of Springer fibers

Do Kien Hoang

Let $G$ be a simple Lie group. Consider a nilpotent element $e \in g$ . Let $Z_{G} (e)$ be the centralizer of $e$ in $G$ , and let $A_{e} := Z_{G} (e) / Z_{G} (e)^{o}$ be its component g…

math.RT2024

Geometry of the fixed points loci and discretization of Springer fibers in classical types

Do Kien Hoang

Consider a simple algebraic group $G$ of classical type and its Lie algebra $g$ . Let $(e, h, f) \subset g$ be an $sl_{2}$ -triple and $Q_{e} = C_{G} (e, h, f)$ .…