207
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Ore Extensions of Multiplier Hopf Algebras

&
Pages 248-272 | Received 13 Jan 2010, Published online: 17 Jan 2012

REFERENCES

  • Anderson , F. W. , Fuller , K. R. ( 1974 ). Rings and Categories of Modules. Graduate Texts in Math. Vol. 13 .
  • Beattie , M. , Dǎscǎlescu , S. , Grunenfelder , L. , Nǎstǎsescu , C. ( 1998 ). Finiteness conditions, co-Frobenius Hopf algebras and quantum groups . J. Algebra 200 : 312 – 333 .
  • Beattie , M. , Dǎscǎlescu , S. , Grunenfelder , L. ( 1999 ). On the number of types of finite dimensional Hopf algebras . Invent. Math. 136 : 1 – 7 .
  • Beattie , M. , Dǎscǎlescu , S. , Grunenfelder , L. ( 2000 ). Constructing pointed Hopf algebras by Ore extension . J. Algebra 225 : 743 – 770 .
  • Dǎscǎlescu , S. , Nǎstǎsescu , C. , Raianu , S. ( 2001 ). Hopf Algebras: An Introduction . Monographs and Textbooks in Pure and Applied Mathematics. Vol. 235. Marcel Dekker .
  • Drabant , B. , Van Daele , A. , Zhang , Y. ( 1999 ). Actions of multiplier Hopf algebras . Comm. Algebra 27 : 4117 – 4127 .
  • McConnell , J. C. , Robson , J. C. ( 1987 ). Noncommutative Noetherian Rings . Chichester : John Wiley and Sons, Ltd .
  • Nenciu , A. ( 2001 ). Quasitriangular structures for a class of pointed Hopf algebras constructed by Ore extensions . Comm. Algebra 29 : 3419 – 3432 .
  • Ore , O. ( 1933 ). Theory of non-commutative polynomials . Ann. Math. 34 : 480 – 508 .
  • Panov , A. N. ( 2003 ). Ore extension of Hopf algebras . Mathematical Notes 74 : 401 – 410 .
  • Rowen , L. ( 1988 ). Ring Theory . Vol. I . San Diego : Academic Press .
  • Van Daele , A. ( 1994 ). Multiplier Hopf algebras . Transactions of the American Mathematical Society 342 : 323 – 366 .
  • Van Daele , A. ( 1998 ). An algebraic framework for group duality . Advances in Mahtematics 140 : 323 – 366 .
  • Van Daele , A. , Zhang , Y. ( 1999a ). Multiplier Hopf algebras of discrete type . J. Algebra 214 : 400 – 417 .
  • Van Daele , A. , Zhang , Y. ( 1999b ). Corepresentation theory of multiplier Hopf algebras I . International Journal of Mathematics 10 : 503 – 539 .
  • 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:

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:

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.