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math.RT2026
Cotangent Models of Nilpotent Orbit Closures
Boming Jia
Let be a nonzero nilpotent orbit in a complex simple Lie algebra . For of classical type, we classify the orbit closures $\overline{\mathcal…
math.RT2026
Highest Weight Varieties and Narayana Numbers
Boming Jia
We compute the Hilbert series of the coordinate ring of some highest weight varieties. We also explain why Narayana numbers (and their generalizations) appear naturally in the nume…
math.RT2025
Minimal Nilpotent Orbits of type D and E
Boming Jia
We first show the closure of the minimal nilpotent adjoint orbit Omin^{D_n} in so_{2n} is isomorphic to the affinization of T^*(SL_{n-1}/[P,P]) where P is the parabolic subgroup P_…
math.RT2024
The Affine Closure of T^*(SL_n/U)
Boming Jia
We show that the affine closure of T^*(SL_n/U) has symplectic singularities, in the sense of Beauville. In the special case n=3, we show that the affine closure of T^*(SL_3/U) is i…