Presentation of critical modules of GK-dimension 2 over elliptic algebras-Reference-Cited by-同舟云学术

Presentation of critical modules of GK-dimension 2 over elliptic algebras

Published:1999-02-18 Issue:6 Volume:127 Page:1633-1639
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ajitabh K.,den Bergh M.

Abstract

We show that critical modules of Gelfand-Kirillov dimension 2 and multiplicity d d over an elliptic algebra have (up to modules of lower GK-dimension and shifting) a presentation by d × d d\times d -matrices of linear forms. In the language of non-commutative algebraic geometry this amounts to a generic description of “curves” of degree d d in a projective quantum plane.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-06/S0002-9939-99-04717-6/S0002-9939-99-04717-6.pdf

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