@Article{CMR-30-51,
author = {Feng , Jianqiang},
title = {$T^∗$-Extension of Lie Supertriple Systems},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {30},
number = {1},
pages = {51--59},
abstract = {<p style="text-align: justify;">In this article, we study the Lie supertriple system (LSTS) $T$ over a field&nbsp;$\mathbb{K}$ 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 &quot;same&quot;, i.e.,
they are equivalent or isometrically equivalent.</p>},
issn = {2707-8523},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cmr/18987.html}
}