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Disquisitions on Monoidal Categories and Operads
Disquisitions on Monoidal Categories and Operads
Monoidal structrures arising from brace B-infinity algebras
Monoidal structrures arising from brace B-infinity algebras
Organizers
Speaker
Zhengfang Wang
Time
Monday, April 27, 2026 12:00 PM - 2:00 PM
Venue
A3-1-301
Online
Zoom 559 700 6085
(BIMSA)
Abstract
Benson and Krause in 2008 studied the tensor product on the derived category of the Koszul dual of a finite $p$-group $G$, using the classifying space of $G$. They showed that, under Koszul duality, this tensor product corresponds to the ordinary tensor product on the derived category of $G$, which confirmed a conjecture of Krause from 2004.
Motivated by this, we construct a tensor product on the derived category of right A-infinity modules over an A-infinity algebra $A$ under the additional assumption that $A$ is a brace B-infinity algebra. As an application, we recover the tensor product on the derived category of the Koszul dual of a $p$-group. This talk is based on a joint work with Gongxiang Liu and Mengdie Zhang
Motivated by this, we construct a tensor product on the derived category of right A-infinity modules over an A-infinity algebra $A$ under the additional assumption that $A$ is a brace B-infinity algebra. As an application, we recover the tensor product on the derived category of the Koszul dual of a $p$-group. This talk is based on a joint work with Gongxiang Liu and Mengdie Zhang