Advanced search
Publication Cover
Communications in Algebra Volume 45, 2017 - Issue 1
Submit an article Journal homepage
64
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

A natural map from a quantized space onto its semiclassical limit and a multi-parameter Poisson Weyl algebra

Sei-Qwon OhDepartment of Mathematics, Chungnam National University, Daejeon, KoreaCorrespondence[email protected]
Pages 60-75 | Received 23 Oct 2013, Published online: 11 Oct 2016

References

  • Akhavizadegan, M., Jordan, D. A. (1996). Prime ideals of quantized Weyl algebras. Glasgow Math. J. 38:283–297.
  • Brown, K. A., Goodearl, K. R. (2002). Lectures on Algebraic Quantum Groups. Advanced Courses in Mathematics-CRM Barcelona. Basel, Boston, Berlin: Birkhäuser Verlag.
  • Dixmier, J. (1996). Enveloping Algebras. The 1996 Printing of the 1977 English Translation Graduate Studies in Mathematics, Vol. 11. Providence: American Mathematical Society.
  • Goodearl, K. R. (2006). A Dixmier-Moeglin equivalence for Poisson algebras with torus actions. In: Huynh, D. V., Jain, S. K., Lopez-Permouth, S. R., eds. Algebra and Its Applications. Contemporary Mathematics, Vol. 419, pp. 131–154.
  • Goodearl, K. R. (2009). Semiclassical limits of quantized coordinate rings. In: Huynh, D. V., Lopez-Permouth, S. R., eds. Advances in Ring Theory. Basel: Birkhäuser, pp. 165–204.
  • Goodearl, K. R., Letzter, E. S. (1998). Prime and primitive spectra of multiparameter quantum affine spaces. In: Dlab, V., Márki, L., eds. Trends in Ring Theory Proceeding of Miskolc Conference 1996. Canadian Mathematical Society Conference Proceeding Series, pp. 39–58.
  • Goodearl, K. R., Letzter, E. S. (2000). The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras. Trans. Am. Math. Soc. 352:1381–1403.
  • Jordan, D. A., Oh, S.-Q. (2012). Poisson brackets and Poisson spectra in polynomial algebras. In: New Trends in Noncommutative Algebra. Contemp. Math., Vol. 562, pp. 169–187.
  • Maltsiniotis, G. (1990). Groupes quantique et structures différentielles. C. R. Acad. Sci. Paris Ser. I Mat. 311:831–834.
  • Oh, S.-Q. (1999). Symplectic ideals of Poisson algebras and the Poisson structure associated to quantum matrices. Commun. Algebra 27:2163–2180.
  • Oh, S.-Q. (2008). Quantum and Poisson structures of multi-parameter symplectic and Euclidean spaces. J. Algebra 319:4485–4535.
  • Oh, S.-Q., Park, C.-G., Shin, Y.-Y. (2002). Quantum n-space and Poisson n-space. Commun. Algebra 30(9):4197–4209.
  • Oh, S.-Q., Park, M.-Y. (2010). Relationship between quantum and Poisson structures of odd dimensional Euclidean spaces. Commun. Algebra 38(9):3333–3346.

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.