paper

Algebras of Quasi-Plücker Coordinates are Koszul

arXiv:1703.08747 · doi:10.1016/j.jpaa.2017.11.001

Abstract

Motivated by the theory of quasi-determinants, we study non-commutative algebras of quasi-Plücker coordinates. We prove that these algebras provide new examples of non-homogeneous quadratic Koszul algebras by showing that their quadratic duals have quadratic Gröbner bases.

arXiv comment15 pages, AMS tex, tikz figures. V2: small corrections based on referee report. V3: Further minor changes. To appear in J. Pure Appl. Algebra

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