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

Published 19 Oct 2023 in math.QA and math.RT | (2310.12721v2)

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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