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

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	???core.languages.en_GB???
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	已出版 - 3月 2024

存取文件

10.1007/s00031-021-09682-9

A型有限W-超代數研究方法之推廣與應用(2/2)
Peng, Y.-N. (PI)
1/08/21 → 30/09/22
研究計畫: Research
有限W超代數之實現(4/4)
Peng, Y.-N. (PI)
1/08/19 → 31/07/20
研究計畫: Research

引用此

@article{5c54dbc15ea94b708db2c2f72e61ba12,

title = "Parabolic Category for Periplectic Lie Superalgebras",

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).",

author = "Chen, {Chih Whi} and Peng, {Yung Ning}",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021.",

year = "2024",

month = mar,

doi = "10.1007/s00031-021-09682-9",

language = "???core.languages.en_GB???",

volume = "29",

pages = "17--45",

journal = "Transformation Groups",

issn = "1083-4362",

number = "1",

}

TY - JOUR

T1 - Parabolic Category for Periplectic Lie Superalgebras

AU - Chen, Chih Whi

AU - Peng, Yung Ning

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021.

PY - 2024/3

Y1 - 2024/3

N2 - 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).

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).

UR - http://www.scopus.com/inward/record.url?scp=85123127099&partnerID=8YFLogxK

U2 - 10.1007/s00031-021-09682-9

DO - 10.1007/s00031-021-09682-9

M3 - 期刊論文

AN - SCOPUS:85123127099

SN - 1083-4362

VL - 29

SP - 17

EP - 45

JO - Transformation Groups

JF - Transformation Groups

IS - 1

ER -

Parabolic Category for Periplectic Lie Superalgebras

摘要

存取文件

指紋

專案

A型有限W-超代數研究方法之推廣與應用(2/2)

有限W超代數之實現(4/4)

引用此