Question: What is $\Lambda^{i}$ in the "Show that the highest weight of $\Lambda^{i}V $ is $\omega_{i}$"? In this question, $\omega_{i}$ are fundamental weights.
Context: Highest weight modules of simple Lie algebras.
I looked up the notation for $\Lambda^{i}$ in several textbooks, and I found a match in "Symmetries, Lie Algebras and Representations" by Jürgen Fuchs and Christoph Schweigert. However, in that book the definition of $\Lambda^{i}$ is the Dynkin label of a highest weight of a finite-dimensional module corresponding to fundamental weight $\Lambda_{(i)}$.
However, since Dynkin labels are integers, it does not appear that $\Lambda^{i}$ are Dynkin labels in this case; otherwise $V$ would be simply multiplied by an integer.