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Universal Central Extensions of the Matrix Leibniz Superalgebras sl(m, n, A)

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Naihong Hu, Dong Liu

Representation Theory · Submitted 19 Oct 2006

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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.

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arXiv IDmath/0610579 (version 1)
Pith IDQM434FYY, Pith's permanent record of this paper and its review
CitationDong Liu, Naihong Hu. "Universal Central Extensions of the Matrix Leibniz Superalgebras sl(m, n, A)." arXiv:math/0610579 (2006). https://pith.science/paper/QM434FYY
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,774 input tokens.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.47 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.81 · mentions code or data availability 0.01.

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arXiv listing abstract v1. Results and the main claim are underlined; .

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.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 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. contribution 0.70 0.91 0.89 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original 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.

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