Hostname: page-component-5c6d5d7d68-xq9c7 Total loading time: 0 Render date: 2024-08-16T00:41:53.272Z Has data issue: false hasContentIssue false
  • English
  • Français

Primitive ideals of the quantised enveloping algebra of a complex lie algebra

Published online by Cambridge University Press:  17 April 2009

Sei-Qwon Oh
Sei-Qwon Oh
Affiliation:
Department of Mathematics, Chungnam National University, Taejon 305-764, South Korea
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper, we characterise all primitive ideals of the quantised enveloping algebra Uq[sl(2, ℂ)] of the complex Lie algebra sl(2, ℂ) and show how they are similar to those of U[sl(2, ℂ)], the enveloping algebra of sl(2, ℂ).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 1 , February 1994 , pp. 81 - 84
Copyright
Copyright © Australian Mathematical Society 1994

References

[1]McConnell, J.C. and Robson, J.C., Noncommutative noetherian rings (John Wiley, 1988).Google Scholar
[2]Rosso, M., ‘Finite dimensional representations of the quantum analog of the enveloping algebra of a complex Lie algebra’, Commun. Math. Phys 117 (1988), 581–593.CrossRefGoogle Scholar
[3]Rowen, L.H., Ring theory II (Academic Press, 1988).Google Scholar
[4]Smith, S.P., ‘A class of algebras similar to the enveloping algebra of sl(2, ℂ)’, Trans. Amer. Math. Soc. (2) 322 (1990), 285–314.Google Scholar