Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized spin representations. Part 2: Cartan-Bott periodicity for
  the split real En series   In this article we analyze the quotients of the maximal compact subalgebras
of the split real Kac-Moody algebras of the En series resulting from the
generalized spin representations introduced in part 1. It turns out that these
quotients satisfy a Cartan-Bott periodicity.
  Our findings are also meaningful in the finite-dimensional cases of A2 + A1,
A4, D5, E6, E7, E8, where it turns out that the generalized spin representation
is injective. Consequently the observed Cartan-Bott periodicity provides a
structural explanation for the seemingly sporadic isomorphism types of the
maximal compact Lie subalgebras of the split real Lie algebras of types E6, E7,
E8.

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The categories of this paper are: econ
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an