On lie superalgebras of aAlgebraic supergroups

Bin Shu; Lisun Zheng

doi:10.1142/s1005386709000352

On lie superalgebras of aAlgebraic supergroups

Bin Shu^*
, Lisun Zheng

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

Let G be an algebraic supergroup over a field k, whose pure-even group scheme G_ev is a reduced algebraic group scheme, i.e., k[G _ev = k[G]/(k[G]k[G]_1̄ is reduced. In this paper, we prove that Lie(G) can be identified with the Lie superalgebra of admissible left-invariant derivations of k[G].

源语言	英语
页（从-至）	361-370
页数	10
期刊	Algebra Colloquium
卷	16
期	3
DOI	https://doi.org/10.1142/s1005386709000352
出版状态	已出版 - 9月 2009

访问文件

10.1142/s1005386709000352

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{00ec3ea9900846d09a9ecba661f4db58,

title = "On lie superalgebras of aAlgebraic supergroups",

abstract = "Let G be an algebraic supergroup over a field k, whose pure-even group scheme Gev is a reduced algebraic group scheme, i.e., k[G ev = k[G]/(k[G]k[G]{\=1} is reduced. In this paper, we prove that Lie(G) can be identified with the Lie superalgebra of admissible left-invariant derivations of k[G].",

keywords = "Admissible derivation, Algebraic supergroup, Distribution algebra",

author = "Bin Shu and Lisun Zheng",

year = "2009",

month = sep,

doi = "10.1142/s1005386709000352",

language = "英语",

volume = "16",

pages = "361--370",

journal = "Algebra Colloquium",

issn = "1005-3867",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "3",

}

TY - JOUR

T1 - On lie superalgebras of aAlgebraic supergroups

AU - Shu, Bin

AU - Zheng, Lisun

PY - 2009/9

Y1 - 2009/9

N2 - Let G be an algebraic supergroup over a field k, whose pure-even group scheme Gev is a reduced algebraic group scheme, i.e., k[G ev = k[G]/(k[G]k[G]1̄ is reduced. In this paper, we prove that Lie(G) can be identified with the Lie superalgebra of admissible left-invariant derivations of k[G].

AB - Let G be an algebraic supergroup over a field k, whose pure-even group scheme Gev is a reduced algebraic group scheme, i.e., k[G ev = k[G]/(k[G]k[G]1̄ is reduced. In this paper, we prove that Lie(G) can be identified with the Lie superalgebra of admissible left-invariant derivations of k[G].

KW - Admissible derivation

KW - Algebraic supergroup

KW - Distribution algebra

UR - https://www.scopus.com/pages/publications/68149179465

U2 - 10.1142/s1005386709000352

DO - 10.1142/s1005386709000352

M3 - 文章

AN - SCOPUS:68149179465

SN - 1005-3867

VL - 16

SP - 361

EP - 370

JO - Algebra Colloquium

JF - Algebra Colloquium

IS - 3

ER -

On lie superalgebras of aAlgebraic supergroups

摘要

访问文件

其它文件与链接

指纹

引用此