@Article{CMR-28-3,
author = {Zhao, Yanxia and Yuling, Xia},
title = {Non-Linear Invertible Maps that Preserve Staircase Subalgebras},
journal = {Communications in Mathematical Research },
year = {2012},
volume = {28},
number = {3},
pages = {265--274},
abstract = {<p style="text-align: justify;">Let&nbsp;$\mathcal{g}$&nbsp;be the general linear Lie algebra consisting of all $n × n$ matrices
over a field $F$ and with the usual bracket operation $[x, y] = xy − yx$. An invertible
map $φ&nbsp;: \mathcal{g} → \mathcal{g}$ is said to preserve staircase subalgebras if it maps every staircase
subalgebra to some staircase subalgebra of the same dimension. In this paper, we
devote to giving an explicit description on the invertible maps on $\mathcal{g}$ that preserve
staircase subalgebras.</p>},
issn = {2707-8523},
doi = {https://doi.org/2012-CMR-19046},
url = {https://global-sci.com/article/81836/non-linear-invertible-maps-that-preserve-staircase-subalgebras}
}