Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Directions of automorphisms of Lie groups over local fields compared to
  the directions of Lie algebra automorphisms   To each totally disconnected, locally compact topological group G and each
group A of automorphisms of G, a pseudo-metric space of ``directions'' has been
associated by U. Baumgartner and the second author. Given a Lie group G over a
local field, it is a natural idea to try to define a map from the space of
directions of analytic automorphisms of G to the space of directions of
automorphisms of the Lie algebra L(G) of G, which takes the direction of an
analytic automorphism of G to the direction of the associated Lie algebra
automorphism. We show that, in general, this map is not well-defined. However,
the pathology cannot occur for a large class of linear algebraic groups (called
``generalized Cayley groups'' here). For such groups, the assignment just
proposed defines a well-defined isometric embedding from the space of
directions of inner automorphisms of G to the space of directions of
automorphisms of L(G). Some counterexamples concerning the existence of small
joint tidy subgroups for flat groups of automorphisms are also provided.

33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs