Universal Quantum Semigrupoids

Abstract: In a recent paper (https://arxiv.org/abs/2008.00606), Hongdi Huang, Elizabeth Wicks, Robert Won, and I introduce the concept of a universal quantum linear semigroupoid (UQSGd). This is a weak bialgebra that coacts on a (not necessarily connected) graded algebra A. Our main result is that when A is the path algebra kQ of a finite quiver Q each of the various UQSGds introduced in our work is isomorphic to the face algebra attached to Q (an important weak bialgebra due to Hayashi). Most of the talk will be dedicated to setting up context and terminology towards the main result.

rings and algebrasrepresentation theory

Audience: researchers in the topic

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ONCAS Online Noncommutative Algebra Seminar

Series comments: This is an online seminar organized to keep the community of noncommutative algebraists connected during the pandemic which has made it difficult for everyone to travel. If you would like to attend these talks, please email to any of the organizers and you will be added to the mailing list.