The minimal model of a simplicial complex: algorithm and implementation

• Alquézar-Baeta, Carlos Alfonso ^[1] ; Miguel A. Marco-Buzunariz ^[1] ; Martín-Morales, Jorge ^[1]
  1. [1] Universidad de Zaragoza/IUMA
• Localización: EACA 2022: XVII Encuentro de Álgebra Computacional y Aplicaciones / coord. por Carlos Galindo Pastor, Philippe Giménez, Fernando Javier Hernando Carrillo, F. Monserrat Delpalillo, Julio José Moyano Fernández, 2023, ISBN 978-84-19647-46-7, págs. 39-42
• Idioma: inglés
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• Resumen

  • We present an implementation in SageMath ([4]) of a new method to compute the minimal model of a simplicial complex. The method is a modification of the one provided for minimal models of GCDA's of finite type by Manero and Marco in [3] to deal in this particular case of algebras with infinite dimensional homogenous parts. This method is presented for simplicial complexes but could be easily adapted for simplicial sets.