Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isotropy summands and Einstein Equation of Invariant Metrics on
  Classical Flag Manifolds   It is well known that the Einstein equation on a Riemannian flag manifold
$(G/K,g)$ reduces to a algebraic system, if $g$ is a $G$-invariant metric. In
this paper we described this system for all flag manifolds of a classical Lie
group. We also determined the number of isotropy summands for all of these
spaces and proved certain properties of the set of t-roots for flag manifolds
of type $B_n$, $C_n$ and $D_n$.

18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
9
The categories of this paper are: nlin