Partial corepresentations of Hopf algebras

Autor:	Joost Vercruysse, Felipe Nalon Castro, Marcelo Muniz S. Alves, Glauber Quadros, Eliezer Batista
Rok vydání:	2021
Předmět:	Pure mathematics Partial comodules Algèbre linéaire et matricielle Existential quantification Coalgebra Structure (category theory) Partial corepresentation 01 natural sciences Algèbre - théorie des anneaux - théorie des corps Mathematics::K-Theory and Homology Mathematics::Category Theory Mathematics::Quantum Algebra Hopf coalgebroid Mathematics - Quantum Algebra 0103 physical sciences FOS: Mathematics Partial cosmash coproducts Quantum Algebra (math.QA) Category Theory (math.CT) Bicoalgebroid Representation Theory (math.RT) 0101 mathematics 16T05 16S40 Mathematics Algebra and Number Theory Mathematics::Rings and Algebras 010102 general mathematics Mathematics - Category Theory Mathematics - Rings and Algebras Hopf algebra Partial modules Partial representation Rings and Algebras (math.RA) 010307 mathematical physics Groupes algébriques Géométrie non commutative Mathematics - Representation Theory
Zdroj:	Journal of algebra, 577
ISSN:	0021-8693
DOI:	10.1016/j.jalgebra.2021.03.001
Popis:	We introduce the notion of a partial corepresentation of a given Hopf algebra H over a coalgebra C and the closely related concept of a partial H-comodule. We prove that there exists a universal coalgebra Hpar, associated to the original Hopf algebra H, such that the category of regular partial H-comodules is isomorphic to the category of Hpar-comodules. We introduce the notion of a Hopf coalgebroid and show that the universal coalgebra Hpar has the structure of a Hopf coalgebroid over a suitable coalgebra. SCOPUS: ar.j info:eu-repo/semantics/published
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0721d71aa1bbcb8ebb4b7cef1cc9a1a3 https://doi.org/10.1016/j.jalgebra.2021.03.001 Zobrazit plný text záznamu Full Text from ScienceDirect