Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lax type operator for quantum finite W-algebras   For a reductive Lie algebra g, its nilpotent element f and its faithful
finite dimensional representation, we construct a Lax operator L(z) with
coefficients in the quantum finite W-algebra W(g,f). We show that for the
classical linear Lie algebras gl_N, sl_N, so_N and sp_N, the operator L(z)
satisfies a generalized Yangian identity. The operator L(z) is a quantum finite
analogue of the operator of generalized Adler type which we recently introduced
in the classical affine setup. As in the latter case, L(z) is obtained as a
generalized quasideterminant.

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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph