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math.RT2026
Hitchin's Conjecture for in Odd Prime Degree
Boming Jia
We prove Hitchin's conjecture for in every odd prime degree. More precisely, let be prime and let . Every nonzero primitive element $α\inΛ^p(\…
math.RT2026
A Cotangent Model for the Next-to-Minimal Orbit of E7
Boming Jia
Let be the next-to-minimal nilpotent orbit of the complex simple Lie algebra of type . Let be the maximal parabolic subalgebra correspondin…
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
Minimal Nilpotent Orbits of type G2, F4 and E8
Boming Jia
Let be a complex simple Lie algebra of type , , or . We prove that the closure of its minimal nilpotent orb…