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: Article › 同行評審

1 引文斯高帕斯（Scopus）

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	English
頁（從 - 到）	17-45
頁數	29
期刊	Transformation Groups
卷	29
發行號	1
DOIs	https://doi.org/10.1007/s00031-021-09682-9
出版狀態	Published - 2024 3月

All Science Journal Classification (ASJC) codes

代數與數理論
幾何和拓撲

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10.1007/s00031-021-09682-9

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Parabolic Category for Periplectic Lie Superalgebras

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