Duality for finite Hopf algebras explained by corings

S. Caenepeel; David Quinn; Ş Raianu

doi:10.1007/s10485-006-9046-3

Duality for finite Hopf algebras explained by corings

S. Caenepeel^*, David Quinn, Ş Raianu

^*Corresponding author for this work

Mathematical Science

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We give a coring version for the duality theorem for actions and coactions of a finitely generated projective Hopf algebra. We also provide a coring analogue for a theorem of H.-J. Schneider, which generalizes and unifies the duality theorem for finite Hopf algebras and its refinements.

Original language	English
Pages (from-to)	531-537
Number of pages	7
Journal	Applied Categorical Structures
Volume	14
Issue number	5-6
Early online date	15 Nov 2006
DOIs	https://doi.org/10.1007/s10485-006-9046-3
Publication status	Published - Dec 2006

Keywords

Coring
H-comodule algebra
Hopf algebra

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title = "Duality for finite Hopf algebras explained by corings",

abstract = "We give a coring version for the duality theorem for actions and coactions of a finitely generated projective Hopf algebra. We also provide a coring analogue for a theorem of H.-J. Schneider, which generalizes and unifies the duality theorem for finite Hopf algebras and its refinements.",

keywords = "Coring, H-comodule algebra, Hopf algebra",

author = "S. Caenepeel and David Quinn and {\c S} Raianu",

year = "2006",

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AU - Caenepeel, S.

AU - Quinn, David

AU - Raianu, Ş

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N2 - We give a coring version for the duality theorem for actions and coactions of a finitely generated projective Hopf algebra. We also provide a coring analogue for a theorem of H.-J. Schneider, which generalizes and unifies the duality theorem for finite Hopf algebras and its refinements.

AB - We give a coring version for the duality theorem for actions and coactions of a finitely generated projective Hopf algebra. We also provide a coring analogue for a theorem of H.-J. Schneider, which generalizes and unifies the duality theorem for finite Hopf algebras and its refinements.

KW - Coring

KW - H-comodule algebra

KW - Hopf algebra

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U2 - 10.1007/s10485-006-9046-3

DO - 10.1007/s10485-006-9046-3

M3 - Article

AN - SCOPUS:33845343599

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JO - Applied Categorical Structures

JF - Applied Categorical Structures

IS - 5-6

ER -

Duality for finite Hopf algebras explained by corings

Abstract

Keywords

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