[Tex/LaTex] Wedge product symbol (exterior/alternating product)

Question

This question has a similar title, but my question is different.

I would like to denote the kth exterior power similar to this:

\wedge is too small and \bigwedge is not only too big but also centered in a strange way:

Also, I don't like using \Lambda instead. I tried the relsize package, which provides the command \mathlarger{}. This is the result:

As you see, the wedge is still too small and there is too much space between the wedge and the letter k.

Do you know a good solution?

Answer 1

You mention that a regular upper-case \Lambda won't cut it, but you could use a sans-serif one. I took the liberty of adapting @egreg's answer to this question:

\documentclass{article}
\usepackage[math-style=ISO]{unicode-math}
\defaultfontfeatures{Scale=MatchUppercase}
\setmathfontface\mathsans{TeX Gyre Heros}
\newcommand{\wedgeprod}{\mathsans{\mupLambda}}
\begin{document}
$$\wedgeprod^k V = {} \underbrace{ V \wedge V \dots \wedge V }_{\text{$k$ times}}$$
\end{document}

This produces:

Definitely far from perfect, but better than nothing.