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arXiv · 2102.01849

Invariant theory for the commuting scheme of symplectic Lie algebras

Tsao-Hsien Chen·Ngo Bao Chau
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Abstract

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.

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BibTeXRIS

Tsao-Hsien Chen, Ngo Bao Chau. 2021-02-03. Invariant theory for the commuting scheme of symplectic Lie algebras. https://arxiv.org/abs/2102.01849

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