Cyclic groups with the same Hodge series

Daryl R. Deford ^[1] ; Peter G. Doyle ^[1]
1. [1] Dartmouth College
  
  Dartmouth College
  
  Town of Hanover, Estados Unidos
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 59, Nº. 2, 2018, págs. 241-254
Idioma: inglés
Enlaces
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Resumen
- The Hodge series of a finite matrix group is the generating function for invariant exterior forms of specified order p and degree k. Lauret, Miatello, and Rossetti gave examples of pairs of non-conjugate cyclic groups having the same Hodge series; the corresponding space forms are isospectral for the Laplacian on p-forms for all p, but not for all natural operators. Here we explain, simplify, and extend their investigations.