Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schottky groups and maximal representations   We describe a construction of Schottky type subgroups of automorphism groups
of partially cyclically ordered sets. We apply this construction to the Shilov
boundary of a Hermitian symmetric space and show that in this setting Schottky
subgroups correspond to maximal representations of fundamental groups of
surfaces with boundary. As an application, we construct explicit fundamental
domains for the action of maximal representations into
$\mathrm{Sp}(2n,\mathbb{R})$ on $\mathbb{RP}^{2n-1}$.

25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin