Existence of critical modules of GK-dimension 2 over elliptic algebras
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- by Kaushal Ajitabh PDF
- Proc. Amer. Math. Soc. 128 (2000), 2843-2849 Request permission
Abstract:
We show that over an elliptic algebra, critical modules of Gelfand-Kirillov dimension 2 exist in all multiplicities (assuming the ground field is uncountable, algebraically closed). Geometrically, this shows that in a quantum plane there exist “irreducible curve" modules of all possible degrees.References
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Additional Information
- Kaushal Ajitabh
- Affiliation: Department of Mathematics, Florida International University, University Park, Miami, Florida 33199
- Email: ajitabhk@solix.fiu.edu
- Received by editor(s): June 17, 1998
- Received by editor(s) in revised form: November 5, 1998
- Published electronically: April 7, 2000
- Communicated by: Ken Goodearl
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2843-2849
- MSC (2000): Primary 16G50, 16P90, 16W50, 18G10
- DOI: https://doi.org/10.1090/S0002-9939-00-05322-3
- MathSciNet review: 1664293