Twisted Tensor Products of Kn with Km

  • Jack Arce
  • Jorge A. Guccione
  • Juan J. GuccioneEmail author
  • Christian Valqui


We find three families of twisting maps of Km with Kn, where K is a field, and we make a detailed study of its properties. One of them is related to truncated quiver algebras, the second one consists of deformations of the first and the third one requires m = n and yields algebras isomorphic to Mn(K).


Twisted tensor products Quivers 

Mathematics Subject Classification (2010)

Primary 16S35 Secondary 16S38 


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© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Sección Matemáticas, PUCPPontificia Universidad Católica del PerúLima 32Perú
  2. 2.Facultad de Ciencias Exactas y Naturales, Departamento de MatemáticaUniversidad de Buenos AiresBuenos AiresArgentina
  3. 3.Instituto de Investigaciones Matemáticas “Luis A. Santaló” (IMAS)CONICET-Universidad de Buenos AiresBuenos AiresArgentina
  4. 4.CONICET, Instituto Argentino de Matemática (IAM)Buenos AiresArgentina
  5. 5.Instituto de Matemática y Ciencias Afines (IMCA)Lima 12Perú

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