Standard monomials and invariant theory of arc spaces II: Symplectic group

Andrew R. Linshaw; Bailin Song

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arXiv · 2108.08989

Standard monomials and invariant theory of arc spaces II: Symplectic group

Andrew R. Linshaw·Bailin Song

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Abstract

This is the second in a series of papers on standard monomial theory and invariant theory of arc spaces. For any algebraically closed field $K$, we construct a standard monomial basis for the arc space of the Pfaffian variety over $K$. As an application, we prove the arc space analogue of the first and second fundamental theorems of invariant theory for the symplectic group.

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Andrew R. Linshaw, Bailin Song. 2024-06-07. Standard monomials and invariant theory of arc spaces II: Symplectic group. https://arxiv.org/abs/2108.08989

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