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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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).

Original language	English
Pages (from-to)	17-45
Number of pages	29
Journal	Transformation Groups
Volume	29
Issue number	1
DOIs	https://doi.org/10.1007/s00031-021-09682-9
State	Published - Mar 2024

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10.1007/s00031-021-09682-9

Generalization and Applications of Research Methods of Type a Finite W-Superalgebras(2/2)
Peng, Y.-N. (PI)
1/08/21 → 30/09/22
Project: Research
Realization of Finite W-Superalgebras by Super Yangians(4/4)
Peng, Y.-N. (PI)
1/08/19 → 31/07/20
Project: Research

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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).",

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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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Parabolic Category for Periplectic Lie Superalgebras

Abstract

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Projects

Generalization and Applications of Research Methods of Type a Finite W-Superalgebras(2/2)

Realization of Finite W-Superalgebras by Super Yangians(4/4)

Cite this