Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/2983
Title: Presentation of critical modules of GK-dimension 2 over elliptic algebras
Authors: Ajitabh, K.
VAN DEN BERGH, Michel 
Issue Date: 1999
Publisher: AMER MATHEMATICAL SOC
Source: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 127(6). p. 1633-1639
Abstract: We show that critical modules of Gelfand-Kirillov dimension 2 and multiplicity d over an elliptic algebra have (up to modules of lower GK-dimension and shifting) a presentation by d x d-matrices of linear forms. In the language of non-commutative algebraic geometry this amounts to a generic description of "curves" of degree d in a projective quantum plane.
Notes: Florida Int Univ, Dept Math, Miami, FL 33199 USA. Limburgs Univ Ctr, Dept WNI, B-3590 Diepenbeek, Belgium.Ajitabh, K, Florida Int Univ, Dept Math, Miami, FL 33199 USA.
Keywords: elliptic algebras; quantum planes; regular algebra; critical modules; Cohen-Macaulay modules
Document URI: http://hdl.handle.net/1942/2983
ISI #: 000079742800009
Type: Journal Contribution
Validations: ecoom 2000
Appears in Collections:Research publications

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