Invariant theory of $ı$quantum groups of type AIII

Abstract

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

17 pages. Fixed some mild errors and added more details