Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomial invariants for a semisimple and cosemisimple Hopf algebra of
  finite dimension   We introduce new polynomial invariants of a finite-dimensional semisimple and
cosemisimple Hopf algebra A over a field by using the braiding structures of A.
We investigate basic properties of the polynomial invariants including
stability under extension of the base field. Furthermore, we show that our
polynomial invariants are indeed tensor invariants of the representation
category of A, and recognize the difference of the representation category and
the representation ring of A. Actually, by computing and comparing polynomial
invariants, we find new examples of pairs of Hopf algebras whose representation
rings are isomorphic, but representation categories are distinct.

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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-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: q-fin
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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: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph