Parabolic Category for Periplectic Lie Superalgebras

Chih Whi Chen; Yung Ning Peng

doi:10.1007/s00031-021-09682-9

Parabolic Category for Periplectic Lie Superalgebras

Chih Whi Chen, Yung Ning Peng

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

摘要

We provide a linkage principle in an arbitrary parabolic category O^p for the periplectic Lie superalgebras pe(n). As an application, we classify indecomposable blocks in O^p. We classify indecomposable tilting modules in O^p 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 O^p for pe(3).

原文	???core.languages.en_GB???
期刊	Transformation Groups
DOIs	https://doi.org/10.1007/s00031-021-09682-9
出版狀態	已被接受 - 2022

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10.1007/s00031-021-09682-9

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AB - 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).

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JO - Transformation Groups

JF - Transformation Groups

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Parabolic Category for Periplectic Lie Superalgebras

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