Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Erlangen Programme at Large: An Overview   This is an overview of Erlangen Programme at Large. Study of objects and
properties, which are invariant under a group action, is very fruitful far
beyond the traditional geometry. In this paper we demonstrate this on the
example of the group SL(2,R). Starting from the conformal geometry we develop
analytic functions and apply these to functional calculus. Finally we link this
to quantum mechanics and conclude by a list of open problems.
  Keywords: Special linear group, Hardy space, Clifford algebra, elliptic,
parabolic, hyperbolic, complex numbers, dual numbers, double numbers,
split-complex numbers, Cauchy-Riemann-Dirac operator, M\"obius transformations,
functional calculus, spectrum, quantum mechanics, non-commutative geometry

30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc