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In the article “Irreducible modules of modular Lie superalgebras and super version of the first Kac-Weisfeiler conjecture, Canad. Math. Bull. 67 (2024), no. 3, 554–573.” The statement in Theorem 4.7 is improper, which is fixed here. Theorem 4.7 is an isolated result in the article. This correction does not influence any arguments and any main results after that in the original article.

Suppose $\mathfrak {g}=\mathfrak {g}_{\bar 0}+\mathfrak {g}_{\bar 1}$ is a finite-dimensional restricted Lie superalgebra over an algebraically closed field $\mathbf {k}$ of characteristic $p>2$. In this article, we propose a conjecture for maximal dimensions of irreducible modules over the universal enveloping algebra $U(\mathfrak {g})$ of $\mathfrak {g}$, as a super generalization of the celebrated first Kac–Weisfeiler conjecture. It is demonstrated that the conjecture holds for all basic classical Lie superalgebras and all completely solvable restricted Lie superalgebras. In this process, we investigate irreducible representations of solvable Lie superalgebras.

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Correction to “Irreducible modules of modular Lie superalgebras and super version of the first Kac-Weisfeiler conjecture”

Irreducible modules of modular Lie superalgebras and super version of the first Kac–Weisfeiler conjecture

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Correction to “Irreducible modules of modular Lie superalgebras and super version of the first Kac-Weisfeiler conjecture”

Irreducible modules of modular Lie superalgebras and super version of the first Kac–Weisfeiler conjecture