Universal Central Extensions of the Matrix Leibniz Superalgebras sl(m, n, A)
Representation Theory
2007-09-10 v1 K-Theory and Homology
Abstract
The universal central extensions and their extension kernels of the matrix Lie superalgebra sl(m, n, A), the Steinberg Lie superalgebra st(m, n, A) in category {\bf SLeib} of Leibniz superalgebras are determined under a weak assumption (compared with \cite{MP}) using the first Hochschild homology and the first cyclic homology group.
Keywords
Cite
@article{arxiv.math/0610579,
title = {Universal Central Extensions of the Matrix Leibniz Superalgebras sl(m, n, A)},
author = {Naihong Hu and Dong Liu},
journal= {arXiv preprint arXiv:math/0610579},
year = {2007}
}
Comments
8 pages. Communications in Algebra (to appear)