Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: ADE-bundles over rational surfaces, configuration of lines and rulings   To each del Pezzo surface (resp. ruled surface, ruled surface with a
section), we describe a natural Lie algebra bundle of type E_n (resp. D_n, A_n)
over it. Using lines and rulings on any such surface, we describe various
representation bundles corresponding to fundamental representations of the
corresponding Lie algebra.
  When we specify a geometric structure on the surface to reduce the Lie
algebra to a smaller one, then the classical geometry of the configuration of
lines and rulings is encoded beautifully by the branching rules in Lie theory.
We discuss this relationship in details.
  When we degenerate the surface to a non-normal del Pezzo surface, we discover
that the configurations of lines and rulings are also governed by certain
branching rules.

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The categories of this paper are: q-fin
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys