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Existence of critical modules of GK-dimension 2 over elliptic algebras |
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| Authors: | Kaushal Ajitabh |
| Institution: | Department of Mathematics, Florida International University, University Park, Miami, Florida 33199 |
| 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. |
| Keywords: | Elliptic algebras quantum planes regular algebras critical modules Cohen-Macaulay modules |
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