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Mackey Algebras which are Gorenstein

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Abstract

We correct and complete the picture available in the literature by showing that the integral Mackey algebra is Gorenstein if and only if the group order is square-free, in which case it must have Gorenstein dimension one.

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Acknowledgements

The authors would like to thank Serge Bouc, John Greenlees, Radu Stancu and Peter Symonds for useful discussions.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Paul Painlevé, Université de Lille 1, Cité Scientifique – Bât. M2, 59665, Villeneuve-d’Ascq Cedex, France

    Ivo Dell’Ambrogio

  2. Department of Algebra, Charles University in Prague, Sokolovská 83, 186 75, Praha 8, Czech Republic

    Jan Šťovíček

Authors
  1. Ivo Dell’Ambrogio
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  2. Jan Šťovíček
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Correspondence to Jan Šťovíček.

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Presented by: Radha Kessar

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Ivo Dell’Ambrogio was partially supported by the Labex CEMPI (ANR-11-LABX-0007-01)

Jan Šťovíček was supported by grant GAČR P201/12/G028 from the Czech Science Foundation.

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Dell’Ambrogio, I., Šťovíček, J. Mackey Algebras which are Gorenstein. Algebr Represent Theor 23, 281–284 (2020). https://doi.org/10.1007/s10468-018-09848-2

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  • DOI: https://doi.org/10.1007/s10468-018-09848-2

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