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^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

4 Scopus citations

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.

Original language	English
Pages (from-to)	1814-1823
Number of pages	10
Journal	Communications in Algebra
Volume	35
Issue number	6
DOIs	https://doi.org/10.1080/00927870701246577
State	Published - Jun 2007

Keywords

Cyclic homology
Kernel of central extension
Leibniz or Steinberg superalgebras

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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.",

keywords = "Cyclic homology, Kernel of central extension, Leibniz or Steinberg superalgebras",

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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SN - 0092-7872

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JF - Communications in Algebra

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ER -

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

Abstract

Keywords

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