POLYNOMIAL FUNCTORS AND TWO-PARAMETER QUANTUM SYMMETRIC PAIRS

Abstract We develop a theory of two-parameter quantum polynomial functors. Similar to how (strict) functors give new interpretation representations the general linear groups GL n , (polynomial) symmetric pair ( $$ {U}_{Q,q}^B U Q , q B \mathfrak{gl} gl ), U q )) which specializes type AIII/AIV pairs. The coideal subalgebra ) appears in Schur–Weyl duality with B Hecke algebra {\mathcal{H}}_{Q,q}^B H d ). endow cylinder braided structure we use construct Schur Our can be precomposed A producing examples action