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Questions about Koszul algebras as defined by Priddy (1970) and generalizations.

7 votes
Accepted

Does Manin's construction of non-commutative endomorphism algebra $\mathrm{End}(A)$ produce ...

Q1: This algebra is just the Manin black product of $A$ and $A^!$ (in other words, the Koszul dual of the Segre product of $A$ and $A^!$), and hence it is Koszul. (As requested, the Segre product of t …
Vladimir Dotsenko's user avatar
11 votes
Accepted

Koszulness of the cohomology ring of moduli of stable genus zero curves

It is: https://arxiv.org/abs/1902.06318 - this paper also explains how to use the Koszul dual algebra for something, where something is estimating Betti numbers of the free loop spaces of $\overline{M …
Vladimir Dotsenko's user avatar