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arXiv · 2310.12721

Invariant theory of $\imath$quantum groups of type AIII

Li Luo·Zheming Xu
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Abstract

We develop an invariant theory of quasi-split $\imath$quantum groups $\mathbf{U}_n^\imath$ of type AIII on a tensor space associated to $\imath$Howe dualities. The first and second fundamental theorems for $\mathbf{U}_n^\imath$-invariants are derived.

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Li Luo, Zheming Xu. 2024-02-01. Invariant theory of $\imath$quantum groups of type AIII. https://arxiv.org/abs/2310.12721

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