Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-flat representations of uniform groups and quantum groups   Given a discrete group $\Gamma=<g_1,\ldots,g_M>$ and a number $K\in\mathbb
N$, a unitary representation $\rho:\Gamma\to U_K$ is called quasi-flat when the
eigenvalues of each $\rho(g_i)\in U_K$ are uniformly distributed among the
$K$-th roots of unity. The quasi-flat representations of $\Gamma$ form
altogether a parametric matrix model $\pi:\Gamma\to C(X,U_K)$.
  We compute here the universal model space $X$ for various classes of discrete
groups, notably with results in the case where $\Gamma$ is metabelian. We are
particularly interested in the case where $X$ is a union of compact homogeneous
spaces, and where the induced representation $\tilde{\pi}:C^*(\Gamma)\to
C(X,U_K)$ is stationary in the sense that it commutes with the Haar
functionals. We present several positive and negative results on this subject.
  We also discuss similar questions for the discrete quantum groups, proving a
stationarity result for the discrete dual of the twisted orthogonal group
$O_2^{-1}$.

10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph