Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On finite-dimensional copointed Hopf algebras over dihedral groups   We classify all finite-dimensional Hopf algebras over an algebraically closed
field of characteristic zero such that its coradical is isomorphic to the
algebra of functions over a dihedral group D_m, with m=4a> 11. We obtain this
classification by means of the lifting method, where we use cohomology theory
to determine all possible deformations. Our result provides an infinite family
of new examples of finite-dimensional copointed Hopf algebras over dihedral
groups.

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The categories of this paper are: gr-qc
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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: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci