Year: 2014
Author: Jianqiang Feng
Communications in Mathematical Research , Vol. 30 (2014), Iss. 1 : pp. 51–59
Abstract
In this article, we study the Lie supertriple system (LSTS) $T$ over a field $\mathbb{K}$ admitting a nondegenerate invariant supersymmetric bilinear form (call such a $T$ metrisable). We give the definition of $T^∗_ω$-extension of an LSTS $T$, prove a necessary and sufficient condition for a metrised LSTS ($T$, $ϕ$) to be isometric to a $T^∗$-extension of some LSTS, and determine when two $T^∗$-extensions of an LSTS are "same", i.e., they are equivalent or isometrically equivalent.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2014-CMR-18987
Communications in Mathematical Research , Vol. 30 (2014), Iss. 1 : pp. 51–59
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: pseudo-metrised Lie supertriple system metrised Lie supertriple system $T^∗$-extension.