Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness of universal dimensions and configurations of points and
  lines   The problem of uniqueness of universal formulae for (quantum) dimensions of
simple Lie algebras is investigated. We present generic functions, which
multiplied by a universal (quantum) dimension formula, preserve both its
structure and its values at the points from Vogel's table. Connection of some
of these functions with geometrical configurations, such as the famous
Pappus-Brianchon-Pascal $(9_3)_1$ configuration of points and lines, is
established. Particularly, the appropriate realizable configuration
$(144_336_{12})$ (yet to be found) will provide a symmetric non-uniqueness
factor for any universal dimension formula.

12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol