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

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.Comment: 15 page