Algebras of quasi-Plücker coordinates are Koszul

Laugwitz, Robert; Retakh, Vladimir

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.

Citation

Laugwitz, R., & Retakh, V. (2018). Algebras of quasi-Plücker coordinates are Koszul. Journal of Pure and Applied Algebra, 222(9), 2810-2822. https://doi.org/10.1016/j.jpaa.2017.11.001

• Journal Article Type: Article
• Acceptance Date: Oct 10, 2017
• Online Publication Date: Nov 17, 2017
• Publication Date: 2018-09
• Deposit Date: Aug 4, 2020
• Publicly Available Date: Aug 4, 2020
• Journal: Journal of Pure and Applied Algebra
• Print ISSN: 0022-4049
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 222
• Issue: 9
• Pages: 2810-2822
• DOI: https://doi.org/10.1016/j.jpaa.2017.11.001
• Keywords: Algebra and Number Theory
• Public URL: https://nottingham-repository.worktribe.com/output/3606209
• Publisher URL: https://www.sciencedirect.com/science/article/pii/S0022404917302669?via%3Dihub