---
res:
bibo_abstract:
- "Let $G$ be a Lie group over a totally disconnected local field and $\\alpha$\r\nbe
an analytic endomorphism of $G$. The contraction group of $\\alpha$ ist the\r\nset
of all $x\\in G$ such that $\\alpha^n(x)\\to e$ as $n\\to\\infty$. Call sequence\r\n$(x_{-n})_{n\\geq
0}$ in $G$ an $\\alpha$-regressive trajectory for $x\\in G$ if\r\n$\\alpha(x_{-n})=x_{-n+1}$
for all $n\\geq 1$ and $x_0=x$. The anti-contraction\r\ngroup of $\\alpha$ is
the set of all $x\\in G$ admitting an $\\alpha$-regressive\r\ntrajectory $(x_{-n})_{n\\geq
0}$ such that $x_{-n}\\to e$ as $n\\to\\infty$. The\r\nLevi subgroup is the set
of all $x\\in G$ whose $\\alpha$-orbit is relatively\r\ncompact, and such that
$x$ admits an $\\alpha$-regressive trajectory\r\n$(x_{-n})_{n\\geq 0}$ such that
$\\{x_{-n}\\colon n\\geq 0\\}$ is relatively\r\ncompact. The big cell associated
to $\\alpha$ is the set $\\Omega$ of all all\r\nproducts $xyz$ with $x$ in the
contraction group, $y$ in the Levi subgroup and\r\n$z$ in the anti-contraction
group. Let $\\pi$ be the mapping from the cartesian\r\nproduct of the contraction
group, Levi subgroup and anti-contraction group to\r\n$\\Omega$ which maps $(x,y,z)$
to $xyz$. We show: $\\Omega$ is open in $G$ and\r\n$\\pi$ is \\'{e}tale for suitable
immersed Lie subgroup structures on the three\r\nsubgroups just mentioned. Moreover,
we study group-theoretic properties of\r\ncontraction groups and anti-contraction
groups.@eng"
bibo_authorlist:
- foaf_Person:
foaf_givenName: Helge
foaf_name: Glöckner, Helge
foaf_surname: Glöckner
foaf_workInfoHomepage: http://www.librecat.org/personId=178
dct_date: 2021^xs_gYear
dct_language: eng
dct_title: Contraction groups and the big cell for endomorphisms of Lie groups over local
fields@
...