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arXiv · 2105.13457

G-Quadratic, LG-Quadratic, and Koszul Quotients of Exterior Algebras

Jason McCullough·Zachary Mere
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Abstract

This paper introduces the study of LG-quadratic quotients of exterior algebras, showing that they are Koszul, as in the commutative case. We construct an example of an LG-quadratic algebra that is not G-quadratic and another example that is Koszul but not LG-quadratic. This is only the second known Koszul algebra that is not LG-quadratic and the first that is noncommutative.

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Jason McCullough, Zachary Mere. 2021-05-27. G-Quadratic, LG-Quadratic, and Koszul Quotients of Exterior Algebras. https://arxiv.org/abs/2105.13457

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