Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformation of tensor product (co)algebras via non-(co)normal twists   We study new coalgebra structures on the tensor product of two coalgebras $C$
and $D$ by twisting the tensor product coalgebra via a twist map $\Psi: C
\otimes D \rightarrow D \otimes C$. We deal with the general case in which the
counit of the tensor product coalgebra is deformed as well. Some classes of
such deformations are analyzed and a notion of equivalence of twists is
discussed. We also present the dual deformation of tensor product algebras and
provide examples.

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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin