Concerning edge finite element (not nodal element), is there any explicit function (e.g. polynomial) to describe the interpolation within the element? I've read numerous literatures such as "Mixed finite element methods and application" by Boffi et al, and "FENICS manual (https://femtable.org/)". I could follow the concepts of mixed variational principles and Hilbert spaces: H(Div) and H(curl). However, I'm having a hard time implementing the element because the interpolatation functions and spaces are written in mathematical terms, which are rather jargons for me. For instance, $P_1\Lambda^1(\Delta_2)$, and $P_1\Lambda^2(\Delta_2)$ in exterior calculus.
It would be greatly appreciated if anyone suggest me a way to interprete these jargons, or some literatures to understand it. Thanks in advance.