Cartan Invariants for Witt Lie Superalgebras with p-Characters of Height at Most One

Feifei Duan; Xun Xie

doi:10.1007/s10468-020-09947-z

Cartan Invariants for Witt Lie Superalgebras with p-Characters of Height at Most One

Feifei Duan
, Xun Xie^*

^*此作品的通讯作者

数学学院

Hebei Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

We investigate projective modules of the reduced enveloping superalgebra U_χ(g) of the Lie superalgebra g of Witt type with p-character χ of height at most one. We give a formula for the Cartan invariants of U_χ(g) which implies that U_χ(g) has only one block.

源语言	英语
页（从-至）	287-315
页数	29
期刊	Algebras and Representation Theory
卷	24
期	1
DOI	https://doi.org/10.1007/s10468-020-09947-z
出版状态	已出版 - 2月 2021

访问文件

10.1007/s10468-020-09947-z

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{24b12122f1644d19b5d50573bf35dd92,

title = "Cartan Invariants for Witt Lie Superalgebras with p-Characters of Height at Most One",

abstract = "We investigate projective modules of the reduced enveloping superalgebra Uχ(g) of the Lie superalgebra g of Witt type with p-character χ of height at most one. We give a formula for the Cartan invariants of Uχ(g) which implies that Uχ(g) has only one block.",

keywords = "Cartan invariant, Modular representation, Reduced enveloping superalgebra, Witt Lie superalgebra",

author = "Feifei Duan and Xun Xie",

note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature B.V.",

year = "2021",

month = feb,

doi = "10.1007/s10468-020-09947-z",

language = "English",

volume = "24",

pages = "287--315",

journal = "Algebras and Representation Theory",

issn = "1386-923X",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Cartan Invariants for Witt Lie Superalgebras with p-Characters of Height at Most One

AU - Duan, Feifei

AU - Xie, Xun

PY - 2021/2

Y1 - 2021/2

N2 - We investigate projective modules of the reduced enveloping superalgebra Uχ(g) of the Lie superalgebra g of Witt type with p-character χ of height at most one. We give a formula for the Cartan invariants of Uχ(g) which implies that Uχ(g) has only one block.

AB - We investigate projective modules of the reduced enveloping superalgebra Uχ(g) of the Lie superalgebra g of Witt type with p-character χ of height at most one. We give a formula for the Cartan invariants of Uχ(g) which implies that Uχ(g) has only one block.

KW - Cartan invariant

KW - Modular representation

KW - Reduced enveloping superalgebra

KW - Witt Lie superalgebra

UR - https://www.scopus.com/pages/publications/85079114839

U2 - 10.1007/s10468-020-09947-z

DO - 10.1007/s10468-020-09947-z

M3 - Article

AN - SCOPUS:85079114839

SN - 1386-923X

VL - 24

SP - 287

EP - 315

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 1

ER -

Cartan Invariants for Witt Lie Superalgebras with p-Characters of Height at Most One

摘要

访问文件

其它文件与链接

学术指纹

引用此