The Hopf algebra structure of a crossed product in a braided monoidal category

  1. J.N. Alonso Álvarez 2
  2. J.M Fernández Vilaboa 1
  3. R. González Rodríguez 2
  1. 1 Universidade de Santiago de Compostela
    info

    Universidade de Santiago de Compostela

    Santiago de Compostela, España

    ROR https://ror.org/030eybx10

  2. 2 Universidade de Vigo
    info

    Universidade de Vigo

    Vigo, España

    ROR https://ror.org/05rdf8595

Revista:
Tsukuba Journal of Mathematics

ISSN: 0387-4982 2423-821X

Ano de publicación: 2002

Volume: 26

Número: 2

Páxinas: 299-311

Tipo: Artigo

Outras publicacións en: Tsukuba Journal of Mathematics

Referencias bibliográficas

  • [ 1 ] J. N. Alonso Alvarez, J. M. Fernández Vilaboa, R. González Rodríguez, On the (Co)Com- mutativity Class of a Hopf Algebra and Crossed Products in a Braided category, (Preprint).
  • [2] Y. Doi, M. Takeuchi, Multiplication Alteration by Two Cocycles. - The Quantum Version - , Comm. in Algebra, 22 (1994), 5715-5732.
  • [3] A. Joyal, S. Street, Braided monoidal categories, Macquarie Univ. Reports 860081, 1986.
  • [4] A. Joyal, S. Street, Braided tensor categories, Advances in Math. 102 (1993), 20-78.
  • [ 5 ] S. Majid, Transmutation Theory and Rank for Quantum Braided Groups, Math. Proc. Camb. Phil. Soc. 113 (1993), 45-70.
  • [ 6 ] S. Majid, Cross Products by Braided Groups and Bosonization, Journal of Algebra 163 (1994), 165-190.
  • [ 7 ] S. Majid, Algebras and Hopf Algebras in Braided Categories, Advances in Hopf Algebras, Lecture Notes in Pure and Applied Math. (Blue Series), vol. 158, Marcel Dekker Inc., 1994, pp. 55-105.
  • [8] S. Majid, Foundations of Quantum Group Theory, Cambridge University Press, 1995.
  • [9] D. E. Radford, The structure of Hopf Algebras with a Projection, J. of Algebra 92 (1985), 322-347.
  • [10] Shuan-hong Wang, Jin-qi Li, On Twisted Smash Products for Bimodule Algebras and the Drinfeld Double, Comm. in Algebra 26 (1998), 2435-2444.
  • [11] Shuan-hong Wang, Zhengming Jiao, Wenzheng Zhao, Hopf Algebra Structures on Crossed Products, Comm. in Algebra 26 (1998), 129