Advanced search
Publication Cover
Communications in Algebra Volume 52, 2024 - Issue 6
Submit an article Journal homepage
19
Views
0
CrossRef citations to date
0
Altmetric
Research Articles

Anti-isomorphism between Brauer groups BQ(S, H) AND BQ(Sop, H∗)

Christophe Lopez NangoDépartement de Mathématiques, Université Assane SECK de Ziguinchor, Ziguinchor, SénégalCorrespondence[email protected]
Pages 2543-2557 | Received 14 Sep 2023, Accepted 19 Dec 2023, Published online: 17 Jan 2024

References

  • Abe, E. (1977). Hopf Algebras. Cambridge, UK: Cambridge University Press.
  • Bourbaki, B. N. (2013). Algebra ii: Chapters 4–7. Berlin: Springer.
  • Caenepeel, S. (1998). Brauer Groups, Hopf Algebras and Galois Theory. K-Monographs in Mathematics, 4. Dordrecht: Kluwer Academic Publishers.
  • Carnovale, G. (2001). Some isomorphisms for the Brauer groups of a Hopf algebra. Commun. Algebra 29(11):5291–5305. DOI: 10.1081/AGB-100106820.
  • Caenepeel, S., Oystaeyen, F., Zhang, Y. H. (1994). Quantum Yang-Baxter module algebras. K-theory 8(3): 231–255. DOI: 10.1007/BF00960863.
  • Caenepeel, S., Oystaeyen, F., Zhang, Y. (1997). The Brauer group of Yetter-Drinfel’d module algebras. Trans. Amer. Math. Soc. 349(9):3737–3771. DOI: 10.1090/S0002-9947-97-01839-4.
  • Cohen, M., Westreich, S. (1994). From supersymmetry to quantum commutativity. J. Algebra 168(1):1–27. DOI: 10.1006/jabr.1994.1217.
  • Guédénon, T., Herman, A. (2018). A Brauer-Clifford-Long group for the category of dyslectic Hopf Yetter-Drinfel’d (S, H)-module algebras. Theory Appl. Categ. 33(9):216–252.
  • Guédénon, T., Nango, C. L. (2022). A Brauer-Clifford-Long group for the category of dyslectic (S,H)-dimodule algebras. São Paulo J. Math. Sci. 16(2):803–848. DOI: 10.1007/s40863-021-00242-3.
  • Kassel, C. (1995). Quantum Groups, Graduate Texts in Mathematics, Vol. 155. New York: Springer Verlag.
  • MacLane, S. (1971). Categories for the Working Mathematician, Graduate Texts in Mathematics, Number 5. New York-Berlin: Springer-Verlag.
  • Montgomery, S. (1993). Hopf Algebras and their Actions on Rings. CBMS Reg. Conf. Ser. in Math. 82. Providence, RI: AMS.
  • Nango, C. L. (2023). An anti-isomorphism between Brauer-Clifford-Long groups BD(S,H) and BD(Sop,H∗). Beiträge zur Algebra und Geometrie/Contrib. Algebra Geom. 64(2):445–458.
  • Pareigis, B. (1995). On braiding and dyslexia. J. Algebra 171(2):413–425. DOI: 10.1006/jabr.1995.1019.
  • Sweedler, M. E. (1969). Hopf Algebras. New York: Benjamin.
  • Wang, S.-h. (2002). Braided monoidal categories associated to Yetter-Drinfeld categories. Commun. Algebra 30(11):5111–5124. DOI: 10.1081/AGB-120015643.

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.