Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Doubly Extended Lie Groups - Curvature, Holonomy and Parallel Spinors   (This is a revised version of the paper) - In the present paper we study the
geometry of doubly extended Lie groups with their natural biinvariant metric.
We describe the curvature, the holonomy and the space of parallel spinors. This
is completely done for all simply connected groups with biinvariantmetric of
Lorentzian signature $(1,n-1)$, of signature $(2,n-2)$ and of signature
$(p,q)$, where $p+q\leq 6$. Furthermore, some special series with higher
signature are discussed.

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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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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: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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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: hep-lat