Universal central extensions of the matrix leibniz superalgebras S fraktur sign small letter I fraktur sign(m, n, script A sign)

Dong Liu; Naihong Hu

doi:10.1080/00927870701246577

Universal central extensions of the matrix leibniz superalgebras S fraktur sign small letter I fraktur sign(m, n, script A sign)

Dong Liu
, Naihong Hu^*

^*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

4 引用（Scopus）

摘要

The universal central extensions and their extension kernels of the smatrix Lie superalgebra S fraktur sign small letter I fraktur sign(m, n, script A sign), the Steinberg Lie superalgebra S fraktur sign small letter I fraktur sign(m, n, script A sign) in category SLeib of Leibniz superalgebras are determined under a weak assumption (compared with Mikhalev and Pinchuk, 2000) using the first Hochschild homology and the first cyclic homology group.

源语言	英语
页（从-至）	1814-1823
页数	10
期刊	Communications in Algebra
卷	35
期	6
DOI	https://doi.org/10.1080/00927870701246577
出版状态	已出版 - 6月 2007

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10.1080/00927870701246577

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abstract = "The universal central extensions and their extension kernels of the smatrix Lie superalgebra S fraktur sign small letter I fraktur sign(m, n, script A sign), the Steinberg Lie superalgebra S fraktur sign small letter I fraktur sign(m, n, script A sign) in category SLeib of Leibniz superalgebras are determined under a weak assumption (compared with Mikhalev and Pinchuk, 2000) using the first Hochschild homology and the first cyclic homology group.",

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author = "Dong Liu and Naihong Hu",

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N2 - The universal central extensions and their extension kernels of the smatrix Lie superalgebra S fraktur sign small letter I fraktur sign(m, n, script A sign), the Steinberg Lie superalgebra S fraktur sign small letter I fraktur sign(m, n, script A sign) in category SLeib of Leibniz superalgebras are determined under a weak assumption (compared with Mikhalev and Pinchuk, 2000) using the first Hochschild homology and the first cyclic homology group.

AB - The universal central extensions and their extension kernels of the smatrix Lie superalgebra S fraktur sign small letter I fraktur sign(m, n, script A sign), the Steinberg Lie superalgebra S fraktur sign small letter I fraktur sign(m, n, script A sign) in category SLeib of Leibniz superalgebras are determined under a weak assumption (compared with Mikhalev and Pinchuk, 2000) using the first Hochschild homology and the first cyclic homology group.

KW - Cyclic homology

KW - Kernel of central extension

KW - Leibniz or Steinberg superalgebras

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Universal central extensions of the matrix leibniz superalgebras S fraktur sign small letter I fraktur sign(m, n, script A sign)

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