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On the Laistrygonian Nichols algebras that are domains

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Abstract

We consider a class of Nichols algebras \(\mathscr {B}(\mathfrak L_q( 1, \mathscr {G}))\) introduced in Andruskiewitsch et al. which are domains and have many favourable properties like AS-regular and strongly noetherian. We classify their finite-dimensional simple modules and their point modules.

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Authors and Affiliations

  1. CIEM (CONICET), FaMAF-Universidad Nacional de Córdoba, Medina Allende s/n, Ciudad Universitaria, 5000, Córdoba, Argentina

    Nicolás Andruskiewitsch

  2. Departamento de Matemática, Universidade Federal de Santa Maria, Santa Maria, RS, 97105-900, Brazil

    Dirceu Bagio & Daiana Flores

  3. Departamento de Matemática, Universidade Federal de Santa Catarina Florianópolis, Santa Maria, SC, 88040-900, Brazil

    Saradia Della Flora

Authors
  1. Nicolás Andruskiewitsch
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  2. Dirceu Bagio
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  3. Saradia Della Flora
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  4. Daiana Flores
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Corresponding author

Correspondence to Dirceu Bagio.

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N. A. was partially supported by CONICET: PIP 112201501000 71CO, Foncyt: PICT-2019-2019-03660 and Secyt (UNC).

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Andruskiewitsch, N., Bagio, D., Flora, S.D. et al. On the Laistrygonian Nichols algebras that are domains. J Algebr Comb 58, 549–568 (2023). https://doi.org/10.1007/s10801-022-01179-2

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  • DOI: https://doi.org/10.1007/s10801-022-01179-2

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