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math.RA2020★ 1 cited
Quadratic algebras associated with exterior 3-forms
Michel Dubois-Violette, Blas Torrecillas
This paper is devoted to the study of the quadratic algebras with relations generated by superpotentials which are exterior 3-forms. Such an algebra is regular if and only if it is…
math.RA2005
Graded algebras and multilinear forms
Michel Dubois-Violette
We give a description of the connected graded algebras which are finitely generated and presented of global dimension 2 or 3 and which are Gorenstein. These algebras are constructe…