Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal and CR mappings on Carnot groups   We consider a class of stratified groups with a CR structure and a compatible
control distance. For these Lie groups we show that the space of conformal maps
coincide with the space of CR and anti-CR diffeomorphisms. Furthermore, we
prove that on products of such groups, all CR and anti-CR maps are product
maps, up to a permutation isomorphism, and affine in each component.

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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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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: patt-sol
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The categories of this paper are: gr-qc
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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: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: econ