Triangular structures of Hopf algebras and tensor Morita equivalences

• Autores: Michihisa Wakui
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 51, Nº. 1, 2010, págs. 193-210
• Idioma: inglés
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• Resumen

  • In this paper, the triangular structures of a Hopf algebra A are discussed as a tensor Morita invariant. It is shown by many examples that triangular structures are useful for detecting whether module categories are monoidally equivalent or not. By counting and comparing the numbers of triangular structures, we give simple proofs of some results obtained in without polynomial invariants.