Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relating the Connes-Kreimer and Grossman-Larson Hopf algebras built on
  rooted trees   We find a relation between two Hopf algebras built on rooted trees. The first
is the Connes-Kreimer Hopf algebra H_R which describes a certain type of
renormalization in quantum field theory; the second is the Grossman-Larson Hopf
algebra A introduced ten years ago by some "differential" and combinatorial
reasons. Roughly, the relation is the following: there exists a duality between
these two Hopf algebras. We study then two natural operators on A, inspired by
similar ones introduced by Connes and Kreimer for H_R.

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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
4
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: econ
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex