Kac-Wakimoto conjecture for the periplectic Lie superalgebra
classification
🧮 math.RT
keywords
conjecturekac-wakimotoperiplecticsuperalgebraatypicalityblocklyingmathfrak
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We prove the Kac-Wakimoto conjecture for the periplectic Lie superalgebra $\mathfrak{p}(n)$, stating that any simple module lying in a block of non-maximal atypicality has superdimension zero.
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