Algebra publication

Title

Central extensions of three-dimensional Artin-Schelter regular algebras.

Author(s)

L. Lebruyn, S.P. Smith, M. Van den Bergh.

Year

1992

Abstract

For a 3-dimensional Artin-Schelter-regular algebra A with Hilbert series 1/(1-t)^3 we study central extensions; that is, graded algebras D with a regular central element z in degree 1, such that D/(z)=A. We classify such D and we also classify certain D-modules (point modules and line modules) which proved to be important in the study of 3-dimensional Artin-Schelter-regular algebras.

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