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Algebras over operad of spheres

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Abstract

We study an operad whose components are multidimensional spheres. We give a description (up to the rational equivalence) of the variety of algebras over this operad in terms of symbols of operations and identities.

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Authors and Affiliations

  1. Kazan State University, ul. Kremlyovskaya 18, Kazan, 420008, Russia

    S. N. Tronin

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  1. S. N. Tronin
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Correspondence to S. N. Tronin.

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Original Russian Text © S.N. Tronin, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 3, pp. 72–81.

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Tronin, S.N. Algebras over operad of spheres. Russ Math. 54, 63–71 (2010). https://doi.org/10.3103/S1066369X10030096

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