TY - JOUR
T1 - Universal central extensions of the matrix leibniz superalgebras S fraktur sign small letter I fraktur sign(m, n, script A sign)
AU - Liu, Dong
AU - Hu, Naihong
PY - 2007/6
Y1 - 2007/6
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
UR - https://www.scopus.com/pages/publications/34250186420
U2 - 10.1080/00927870701246577
DO - 10.1080/00927870701246577
M3 - 文章
AN - SCOPUS:34250186420
SN - 0092-7872
VL - 35
SP - 1814
EP - 1823
JO - Communications in Algebra
JF - Communications in Algebra
IS - 6
ER -