Hopf π -crossed biproduct and related coquasitriangular structures

Tianshui Ma; Yanan Song

Rendiconti del Seminario Matematico della Università di Padova (2013)

  • Volume: 130, page 127-146
  • ISSN: 0041-8994

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Ma, Tianshui, and Song, Yanan. "Hopf $ {\pi } $-crossed biproduct and related coquasitriangular structures." Rendiconti del Seminario Matematico della Università di Padova 130 (2013): 127-146. <http://eudml.org/doc/275135>.

@article{Ma2013,
author = {Ma, Tianshui, Song, Yanan},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {braided monoidal categories; crossed products; Hopf -coalgebras},
language = {eng},
pages = {127-146},
publisher = {Seminario Matematico of the University of Padua},
title = {Hopf $ \{\pi \} $-crossed biproduct and related coquasitriangular structures},
url = {http://eudml.org/doc/275135},
volume = {130},
year = {2013},
}

TY - JOUR
AU - Ma, Tianshui
AU - Song, Yanan
TI - Hopf $ {\pi } $-crossed biproduct and related coquasitriangular structures
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2013
PB - Seminario Matematico of the University of Padua
VL - 130
SP - 127
EP - 146
LA - eng
KW - braided monoidal categories; crossed products; Hopf -coalgebras
UR - http://eudml.org/doc/275135
ER -

References

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  2. [2] T. S. Ma - S. H. Wang, General double quantum groups. Comm. Algebra, 38 (2) (2010), pp. 645–672. Zbl1198.16031MR2598904
  3. [3] B. L. Shen, S. H. Wang. On group crossed products. Int. Electron. J. Algebra 4 (2008): 177-188. Zbl1175.16028MR2417475
  4. [4] M. E. Sweedler, Hopf Algebras. Benjamin, New York, 1969. MR252485
  5. [5] V. G. Turaev, Homotopy field theory in dimension 3 and crossed group-categories. Preprint GT/0005291. 
  6. [6] A. Virelizier, Hopf group-coalgebras. J. Pure Appl. Algebra, 171 (1) (2002), pp. 75–122. Zbl1011.16023MR1903398
  7. [7] S. H. Wang, Group twisted smash products and Doi-Hopf modules for T-coalgebras. Comm. Algebra, 32 (2004), pp. 3417–3436. Zbl1073.16034MR2097469
  8. [8] S. H. Wang, Coquasitriangular Hopf group algebras and Drinfeld codoubles. Comm. Algebra, 35 (2007), pp. 1–25. MR2287553
  9. [9] S. H. Wang - Z. M. Jiao - W. Z. Zhao, Hopf algebra structures on crossed products. Comm. Algebra, 26 (1998), pp. 1293–1303. Zbl0898.16028MR1612240
  10. [10] M. L. Zhu - H. X. Chen - L. B. Li, Coquasitriangular Hopf group coalgebras and braided monoidal categories. Front. Math. China, 6 (5) (2011), pp. 1009–1020. Zbl1229.16024MR2836864
  11. [11] M. Zunino, Double construction for crossed Hopf coalgebras. J. Algebra, 278 (2004), pp. 43–75. Zbl1058.16035MR2068066

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