Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General Construction of Nonstandard $R_h$-matrices as Contraction Limits
  of $R_{q}$-matrices   A class of transformations of $R_q$-matrices is introduced such that the
$q\to 1$ limit gives explicit nonstandard $R_{h}$-matrices. The transformation
matrix is singular itself at $q\to 1$ limit. For the transformed matrix, the
singularities, however, cancel yielding a well-defined construction. Our method
can be implemented systematically for R-matrices of all dimensions and not only
for $sl(2)$ but also for algebras of higher dimensions. Explicit constructions
are presented starting with ${\cal U}_q(sl(2))$ and ${\cal U}_q(sl(3))$, while
choosing $R_q$ for (fund. rep.)$\otimes$(arbitrary irrep.). The treatment for
the general case and various perspectives are indicated. Our method yields
nonstandard deformations along with a nonlinear map of the $h$-Borel subalgebra
on the corresponding classical Borel subalgebra. For ${\cal U}_h(sl(2))$ this
map is extended to the whole algebra and compared with another one proposed by
us previously.

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The categories of this paper are: hep-lat
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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: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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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: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: econ