Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real homogenous spaces, Galois cohomology, and Reeder puzzles   Let G be a simply connected absolutely simple algebraic group defined over
the field of real numbers R. Let H be a simply connected semisimple R-subgroup
of G. We consider the homogeneous space X=G/H. We ask: How many connected
components has X(R)?
  We give a method of answering this question. Our method is based on our
solutions of generalized Reeder puzzles.

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The categories of this paper are: math-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
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The categories of this paper are: stat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ