  For any Levi subalgebra of the form
$\mathfrak{l}=\mathfrak{gl}_{l_{1}}\oplus\dots\oplus\mathfrak{gl}_{l_{d}}\subseteq\mathfrak{gl}_{n}$
we construct a quotient of the category of annular quantum $\mathfrak{gl}_{n}$
webs that is equivalent to the category of finite dimensional representations
of quantum $\mathfrak{l}$ generated by exterior powers of the vector
representation. This can be interpreted as an annular version of skew Howe
duality, gives a description of the representation category of $\mathfrak{l}$
by additive idempotent completion, and a web version of the generalized blob
algebra.
