Advanced search
Publication Cover
Communications in Algebra Volume 41, 2013 - Issue 4
Submit an article Journal homepage
247
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Constructing New Quasitriangular Turaev Group Coalgebras

Lihong Dong Department of Mathematics, Southeast University, Nanjing, Jiangsu, China; College of Mathematics and Science, Henan Normal University, Xinxiang, Henan, China
&
Shuanhong Wang Department of Mathematics, Southeast University, Nanjing, Jiangsu, ChinaCorrespondence[email protected]
Pages 1217-1246 | Received 08 Apr 2012, Published online: 02 Apr 2013

REFERENCES

  • Atiyah , M. ( 1989 ). Topological quantum field theories . Inst. Hautes Études Sci. Publ. Math. 68 : 175 – 186 .
  • Bespalov , Yu. N. , Drabant , B. ( 2001 ). Cross product bialgebras-Part II . J. Algebra 240 : 445 – 504 .
  • Caenepeel , S. , De Lombaerde , M. ( 2006 ). A categorical approach to Turaev's Hopf group-coalgebras . Comm. Algebra 34 ( 7 ): 2631 – 2657 .
  • Majid , S. ( 1995 ). Foundation of Quantum Group Theory . Cambridge University Press .
  • Sweedler , M. E. ( 1969 ). Hopf Algebra . New York : Benjamin .
  • Turaev , V. ( 2010 ). Homotopy Quantum Field Theory . European Mathematical Society .
  • Virelizier , A. ( 2002 ). Hopf group-coalgebras . J. Pure Appl. Algebra 171 : 75 – 122 .
  • Virelizier , A. ( 2005 ). Graded quantum groups and quasitriangular Hopf group-coalgebras . Comm. Algebra 33 : 3029 – 3050 .
  • Witten , E. ( 1988 ). Topological quantum field theory . Comm. Math. Phys. 117 : 353 – 386 .
  • Wang , S. H. ( 2004 ). Group twisted smash products and Doi-Hopf modules for T-coalgebras . Comm. Algebra 32 ( 9 ): 3417 – 3436 .
  • Wang , S. H. ( 2009 ). Turaev group coalgebras and twisted Drinfeld double . Indiana Univ. Math. J. 58 ( 3 ): 1395 – 1417 .
  • Zunino , M. ( 2004 ). Double construction for crossed Hopf coalgebra . J. Algebra 278 : 43 – 75 .
  • Communicated by M. Cohen.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.