Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lie quasi-states   Lie quasi-states on a real Lie algebra are functionals which are linear on
any abelian subalgebra. We show that on the symplectic Lie algebra of rank at
least 3 there is only one continuous non-linear Lie quasi-state (up to a scalar
factor, modulo linear functionals). It is related to the asymptotic Maslov
index of paths of symplectic matrices.

16
The categories of this paper are: stat
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an