Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Heisenberg double addition to the logarithmic Kazhdan--Lusztig duality   For a Hopf algebra B, we endow the Heisenberg double H(B^*) with the
structure of a module algebra over the Drinfeld double D(B). Based on this
property, we propose that H(B^*) is to be the counterpart of the algebra of
fields on the quantum-group side of the Kazhdan--Lusztig duality between
logarithmic conformal field theories and quantum groups. As an example, we work
out the case where B is the Taft Hopf algebra related to the U_qsl(2) quantum
group that is Kazhdan--Lusztig-dual to (p,1) logarithmic conformal models. The
corresponding pair (D(B),H(B^*)) is "truncated" to (U_qsl(2),H_qsl(2)), where
H_qsl(2) is a U_qsl(2) module algebra that turns out to have the form
H_qsl(2)=\oC_q[z,d]\tensor C[\lambda]/(\lambda^{2p}-1), where C_q[z,d] is the
U_qsl(2)-module algebra with the relations z^p=0, d^p=0, and d z = q-q^{-1} +
q^{-2} zd.

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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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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: patt-sol