Graded algebras and multilinear forms
Dubois-Violette, Michel
arXiv, 0509689 / Harvested from arXiv
Text on arXiv
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 constructed from multilinear forms. We generalize the construction by associating homogeneous algebras to multilinear forms. The homogeneous algebras which are Koszul of finite global dimension and which are Gorenstein are of this type.
Publié le : 2005-09-29
Classification:  Mathematics - Rings and Algebras,  High Energy Physics - Theory,  Mathematical Physics,  Mathematics - Quantum Algebra 
@article{0509689,
     author = {Dubois-Violette, Michel},
     title = {Graded algebras and multilinear forms},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0509689}
}

Dubois-Violette, Michel. Graded algebras and multilinear forms. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0509689/