Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elementary parabolic twist   The twist deformations for simple Lie algebras U(g) whose twisting elements F
are known explicitly are usually defined on the carrier subspace injected in
the Borel subalgebra B^+(g). We solve the problem of creating the parabolic
twist F_P whose carrier algebra P not only covers B^+(g) but also intersects
nontrivially with B^-(g). This algebra P is the parabplic subalgebra in sl(3)
and has the structure of the algebra of two-dimensional motions. The parabolic
twist is explicitly constructed as a composition of the well known extended
jordanian twist F_EJ and the new factor F_D. The latter can be considered as a
special version of the jordanian twist. The twisted costructure is found for
U(P) and the corresponding universal R-matrix is presented.

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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin