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Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras

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Abstract

We study homological properties of a family of algebras called toupie algebras. Our main objective is to obtain the Gerstenhaber structure of their Hochschild cohomology, with the purpose of describing the Lie algebra structure of the first Hochschild cohomology space, together with the Lie module structure of the whole Hochschild cohomology.

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Acknowledgments

This work has been supported by the projects UBACYT 20020130100533BA, PIP-CONICET 112–201501–00483CO and PICT 2015 − 0366 and MATHAMSUD-REPHOMOL. The third named author, is a research member of CONICET (Argentina).

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Authors and Affiliations

  1. Instituto de Matemática y Estadística “Rafael Laguardia”, Facultad de Ingeniería, Universidad de la República, Julio Herrera y Reissig 565, Montevideo, Uruguay

    Dalia Artenstein & Marcelo Lanzilotta

  2. IMAS and Dto. de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1, 1428, Buenos Aires, Argentina

    Andrea Solotar

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  1. Dalia Artenstein
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  2. Marcelo Lanzilotta
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  3. Andrea Solotar
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Correspondence to Dalia Artenstein.

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Presented by: Sarah Witherspoon

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Artenstein, D., Lanzilotta, M. & Solotar, A. Gerstenhaber Structure on Hochschild Cohomology of Toupie Algebras. Algebr Represent Theor 23, 421–456 (2020). https://doi.org/10.1007/s10468-019-09854-y

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