Parabolic Category for Periplectic Lie Superalgebras

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Abstract

We provide a linkage principle in an arbitrary parabolic category Op for the periplectic Lie superalgebras pe(n). As an application, we classify indecomposable blocks in Op. We classify indecomposable tilting modules in Op whose characters are controlled by the Kazhdan-Lusztig polynomials of type A Lie algebras. We establish the complete list of characters of indecomposable tilting modules in Op for pe(3).

Original languageEnglish
JournalTransformation Groups
DOIs
StateAccepted/In press - 2022

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