Advanced search
Publication Cover
Communications in Algebra Volume 39, 2011 - Issue 12
Submit an article Journal homepage
441
Views
17
CrossRef citations to date
0
Altmetric
Original Articles

Finite Dimensional Hopf Algebras Over the Dual Group Algebra of the Symmetric Group in Three Letters

Nicolás Andruskiewitsch FAMAF-CIEM (CONICET), Universidad Nacional de Córdoba, Córdoba, Argentina
&
Cristian Vay FAMAF-CIEM (CONICET), Universidad Nacional de Córdoba, Córdoba, ArgentinaCorrespondence[email protected]
Pages 4507-4517 | Received 28 Oct 2010, Published online: 14 Dec 2011

REFERENCES

  • Andruskiewitsch N., Devoto J. ( 1995 ). Extensions of Hopf algebras . Algebra i Analiz 7 : 22 – 61 .
  • Andruskiewitsch , N. , Graña , M. (1999). Braided Hopf algebras over non abelian finite group. Bol. Acad. Ciencias (Córdoba) 63:45–78.
  • Andruskiewitsch , N. , Graña , M. ( 2003 ). Examples of liftings of Nichols algebras over racks. Algebra Montp. Announc. Paper 1, 6 pp. (electronic) .
  • Andruskiewitsch , N. , Heckenberger , I. , Schneider , H.-J. ( 2010 ). The Nichols algebra of a semisimple Yetter–Drinfeld module . Amer. J. Math. 132 ( 6 ): 1493 – 1547 .
  • Andruskiewitsch , N. , Natale , S. ( 2001 ). Counting arguments for Hopf algebras of low dimension . Tsukuba Math. J. 25 : 187 – 201 .
  • Andruskiewitsch , N. , Schneider , H.-J. ( 1998 ). Lifting of Quantum Linear Space and Pointed Hopf algebras of order p 3 . J. Algebra 209 : 658 – 691 .
  • Andruskiewitsch , N. , Schneider , H.-J. ( 2002 ). Pointed Hopf algebras. In New directions in Hopf algebras. Math. Sci. Res. Inst. Publ., Cambridge: Cambridge Univ. Press, Vol. 43, pp. 1–68 .
  • Ardizzoni , A. , Menini , C. , Ştefan , D. ( 2007 ). A Monoidal Approach to Splitting Morphisms of Bialgebras . Trans. Amer. Math. Soc. 359 : 991 – 1044 .
  • Bergman , G. M. ( 1978 ). The diamond lemma for ring theory . Adv. Math. 29 : 178 – 218 .
  • Calinescu , C. , Dăscălescu , S. , Masuoka , A. , Menini , C. ( 2004 ). Quantum lines over non-cocommutative cosemisimple Hopf algebras . J. Algebra 273 : 753 – 779 .
  • Graña , M. Zoo of finite-dimensional Nichols algebras of non-abelian group type, available at http://mate.dm.uba.ar/~matiasg/zoo.html. Accessed November 13, 2011.
  • Majid , S. ( 1994 ). Crossed products of braided groups and bosonization . J. Algebra 163 : 165 – 190 .
  • Montgomery , S. ( 1993 ). Hopf Algebras and their Actions on Rings. CBMS Reg. Conf. Ser. Math. 82. Amer. Math. Soc .
  • Milinski , A. , Schneider , H.-J. ( 2000 ). Pointed indecomposable Hopf algebras over Coxeter groups. In: New Trends in Hopf Algebras Theory. Contemp. Math. Vol. 267, pp. 215–236 .
  • Radford , D. ( 1985 ). Hopf algebras with projection . J. Algebra 92 : 322 – 347 .
  • Kaplansky , I. ( 1975 ). Lecture Notes in Mathematics . Chicago : University of Chicago .
  • Communicated by H.-J. Schneider.
  • Dedicated to Mia Cohen with affection.

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.