Algebras of Quasi-Plücker Coordinates are Koszul

preprint2017arXivOpen access

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.

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