Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second-order differential invariants of the rotation group O(n) and of
  its extensions: E(n), P(1,n), G(1,n)   Functional bases of second-order differential invariants of the Euclid,
Poincar\'e, Galilei, conformal, and projective algebras are constructed. The
results obtained allow us to describe new classes of nonlinear many-dimensional
invariant equations.

21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg