Tsao-Hsien Chen, Ngo Bao Chau
Published 2021-02-03Version 1
We prove the Chevalley restriction theorem for the commuting scheme of symplectic Lie algebras. The key step is the construction of the inverse map of the Chevalley restriction map called the spectral data map. Along the way, we establish a certain multiplicative property of the Pfaffian which is of independent interest.
Quotients of commuting schemes associated to Symmetric Pairs
Equivariant deformation theory for nilpotent slices in symplectic Lie algebras
Almost commuting varieties for symplectic Lie algebras
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