On Dual Algebras of Hopf Algebroids
Jingbang Guo

TL;DR
This paper explores the dual algebra structures of Hopf algebroids, providing insights into their comodules by relating them to modules over the dual algebra, thus advancing the understanding of their algebraic properties.
Contribution
It offers a new perspective on the duality of Hopf algebroids and characterizes comodules as modules over the dual algebra, enriching the theoretical framework.
Findings
Comodules over a Hopf algebroid can be viewed as modules over its dual algebra.
Provides a detailed understanding of the dual algebra structure of Hopf algebroids.
Establishes a correspondence between comodules and modules in this context.
Abstract
We study the dual algebras of (discrete) Hopf algebroids. In particular, we understand comodules over a Hopf algebroid as (discrete) modules over its dual algebra.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra
