A study of Blattner-Montgomery duality in weak Hopf algebras of groupoid algebras type

TL;DR

This paper investigates the Blattner-Montgomery duality in weak Hopf algebras derived from groupoid algebras, providing a complete description of certain algebraic structures and exploring their relationships with previous results.

Contribution

It offers a comprehensive analysis of the nucleus and image of a specific application in weak Hopf algebras of groupoid type, expanding understanding of duality in this context.

Findings

Complete description of the nucleus and image of the application

Establishment of relationships with previous results in the field

Advancement in understanding duality in weak Hopf algebras of groupoid type

Abstract

We completely describe the nucleous and the image of the application defined in [8], when all tensor products are over a field. Moreover, we study a relationship with the results obtained in [5].