Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a class of skew classical r-matrices with large carrier   Classical r-matrices with carriers g_c containing the Borel subalgebra b(+,g)
of simple Lie algebra g are studied. Using the graphycal presentation of the
dual Lie algebra g#(r) we show that such solutions of the CYBE always exist. To
obtain the explicit form of these r-matrices we find the dual coordinates in
which the adjoint action of g_c can be reduced. This gives us the detailed
structure of the Jordanian r-matrices that are the candidates for enlarging the
initial full chain r-matrix. We search the desired solution in the factorized
form. This leads to the unique transformation: the initial chain is to be
substituted by a special kind of peripheric r-matrice. To illustrate the method
we consider the case of g=sl(11) in full details.

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The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
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
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph