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Schur’s theory for partial projective representations

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Abstract

This article focuses on those aspects about partial actions of groups which are related to Schur’s theory on projective representations. It provides an exhaustive description of the partial Schur multiplier, and this result is achieved by introducing the concept of a second partial cohomology group relative to an ideal, together with an appropriate analogue of a central extension. In addition, the new framework is proved to be consistent with the earlier notion of cohomology over partial modules.

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Authors and Affiliations

  1. Instituto de Matemática e Estatística da Universidade de São Paulo, Rua do Matão, 1010, CEP 05508-090, São Paulo, SP, Brazil

    Mikhailo Dokuchaev

  2. Instituto de Matemática e Estatística da Universidade Federal da Bahia, Avenida Adhemar de Barros s/n, CEP 40170-110, Salvador, BA, Brazil

    Nicola Sambonet

Authors
  1. Mikhailo Dokuchaev
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  2. Nicola Sambonet
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Correspondence to Nicola Sambonet.

Additional information

Partially supported by Fapesp of Brazil and by CNPq of Brazil.

Supported by Fapesp of Brazil.

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Dokuchaev, M., Sambonet, N. Schur’s theory for partial projective representations. Isr. J. Math. 232, 373–399 (2019). https://doi.org/10.1007/s11856-019-1876-4

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  • DOI: https://doi.org/10.1007/s11856-019-1876-4

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