Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-04T19:02:09.359Z Has data issue: false hasContentIssue false
  • English
  • Français

Finite-dimensional simple modules over quantised Weyl algebras

Published online by Cambridge University Press:  17 April 2009

Nobuyuki Fukuda
Nobuyuki Fukuda
Affiliation:
Department of MathematicsOkayama University, Okayama 700Japan, e-mail: [email protected]
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.

We classify finite-dimensional simple modules over quantised n-th Weyl algebras. over an algebraically closed field under a certain condition on the parameters.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 57 , Issue 3 , June 1998 , pp. 403 - 408
Copyright
Copyright © Australian Mathematical Society 1998

References

[1]Alev, J. and Dumas, F., ‘Sur le corps des fractions de certaines algèbres quantique’, J. Algebra 170 (1994), 229–265.CrossRefGoogle Scholar
[2]Giaquinto, A. and Zhang, J.J., ‘Quantum Weyl algebras’, J. Algebra 176 (1995), 861–881.CrossRefGoogle Scholar
[3]Goodearl, K.R., ‘Prime ideals in skew polynomial rings and quantized Weyl algebras’, J. Algebra 150 (1992), 324–377.CrossRefGoogle Scholar
[4]Jordan, D.A., ‘Finite-dimensional simple modules over certain iterated skew polynomial rings’, J. Pure Appl. Algebra 98 (1995), 45–55.CrossRefGoogle Scholar
[5]Jordan, D.A., ‘A simple localization of quantized Weyl algebra’, J. Algebra 174 (1995), 267–281.CrossRefGoogle Scholar
[6]Rosso, M., ‘Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra’, Commun. Math. Phys. 117 (1988), 581–593.CrossRefGoogle Scholar