Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Projective lines in the affine flag manifold with given tangent root
  vector   We first describe the tangent space to the affine flag manifold associated to
a simple algebraic group over $\mathbb{C}$ at the distinguished point starting
from standard definitions. We then construct projective lines in the affine
flag manifold tangent to given root vectors associated to imaginary roots of
the corresponding affine Kac-Moody algebra and describe in which Schubert
varieties they lie.

18
The categories of this paper are: econ
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph