Complete presentation and Hilbert series of the mixed braid monoid M B 1 , 3

• Zaffar Iqbal ^[1] ; Muhammad Mobeen Munir ^[3] ; Maleeha Ayub ^[1] ; Abdul Rauf Nizami ^[2]
  1. [1] University of Gujrat

     University of Gujrat

     Pakistán

     
  2. [2] University of Central Punjab

     University of Central Punjab

     Pakistán

     
  3. [3] Department of Mathematics, University of the Punjab Lahore, Pakistan

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• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 67, Nº. 2, 2024, págs. 503-516
• Idioma: inglés
• DOI: 10.33044/revuma.3479
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• Resumen

  • The Hilbert series is the simplest way of finding dimension and degree of an algebraic variety defined explicitly by polynomial equations. The mixed braid groups were introduced by Sofia Lambropoulou in 2000. In this paper we compute the complete presentation and the Hilbert series of the canonical words of the mixed braid monoid MB1,3

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