Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On boundary fusion and functional relations in the Baxterized affine
  Hecke algebra   We construct boundary type operators satisfying fused reflection equation for
arbitrary representations of the Baxterized affine Hecke algebra. These
operators are analogues of the fused reflection matrices in solvable half-line
spin chain models. We show that these operators lead to a family of commuting
transfer matrices of Sklyanin type. We derive fusion type functional relations
for these operators for two families of representations.

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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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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: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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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: adap-org
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The categories of this paper are: cond-mat