Work

Frobenius and quasi-Frobenius left Hopf algebroids

Year: 2024

Type: article

Abstract: We study when left (op)Hopf algebroids in the sense of Takeuchi-Schauenburg give rise to a Frobenius or quasi-Frobenius extension. The case of Hopf algebroids in the sense of Böhm was treated by G. Böhm ( [4] ). Contrary to Hopf algebroids, (op)Hopf left algebroids don't necessarily have an antipode but their Hopf-Galois map is invertible. We make use of recent results about left Hopf algebroids ( [18] , [35] , [25] ). Our results are applied to the restricted enveloping algebra of a restricted Lie-Rinehart algebra.

Source: Journal of Pure and Applied Algebra

DOI: 10.1016/j.jpaa.2024.107844

Author: Sophie Chemla

Institutions: Centre National de la Recherche Scientifique, Université Paris Cité, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,330

OpenAlex ID: W4404917963

FWCI:

Cites: 39

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Related to: 10