Subcoalgebras and endomorphisms of free Hopf algebras

Alexandru Chirvǎsitu

doi:10.1016/j.jpaa.2010.04.002

Subcoalgebras and endomorphisms of free Hopf algebras

Alexandru Chirvǎsitu

Mathematics

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

3 Scopus citations

Abstract

For a matrix coalgebra C over some field, we determine all small subcoalgebras of the free Hopf algebra on C, the free Hopf algebra with a bijective antipode on C, and the free Hopf algebra with antipode S satisfying. S^2d=id on C for some fixed d. We use this information to find the endomorphisms of these free Hopf algebras, and to determine the centers of the categories of Hopf algebras, Hopf algebras with bijective antipode, and Hopf algebras with antipode of order dividing 2d.

Original language	English
Pages (from-to)	101-107
Number of pages	7
Journal	Journal of Pure and Applied Algebra
Volume	215
Issue number	2
DOIs	https://doi.org/10.1016/j.jpaa.2010.04.002
State	Published - Feb 2011

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10.1016/j.jpaa.2010.04.002

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title = "Subcoalgebras and endomorphisms of free Hopf algebras",

abstract = "For a matrix coalgebra C over some field, we determine all small subcoalgebras of the free Hopf algebra on C, the free Hopf algebra with a bijective antipode on C, and the free Hopf algebra with antipode S satisfying. S2d=id on C for some fixed d. We use this information to find the endomorphisms of these free Hopf algebras, and to determine the centers of the categories of Hopf algebras, Hopf algebras with bijective antipode, and Hopf algebras with antipode of order dividing 2d.",

author = "Alexandru Chirvǎsitu",

year = "2011",

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doi = "10.1016/j.jpaa.2010.04.002",

language = "English",

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journal = "Journal of Pure and Applied Algebra",

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N2 - For a matrix coalgebra C over some field, we determine all small subcoalgebras of the free Hopf algebra on C, the free Hopf algebra with a bijective antipode on C, and the free Hopf algebra with antipode S satisfying. S2d=id on C for some fixed d. We use this information to find the endomorphisms of these free Hopf algebras, and to determine the centers of the categories of Hopf algebras, Hopf algebras with bijective antipode, and Hopf algebras with antipode of order dividing 2d.

AB - For a matrix coalgebra C over some field, we determine all small subcoalgebras of the free Hopf algebra on C, the free Hopf algebra with a bijective antipode on C, and the free Hopf algebra with antipode S satisfying. S2d=id on C for some fixed d. We use this information to find the endomorphisms of these free Hopf algebras, and to determine the centers of the categories of Hopf algebras, Hopf algebras with bijective antipode, and Hopf algebras with antipode of order dividing 2d.

UR - https://www.scopus.com/pages/publications/77956612237

U2 - 10.1016/j.jpaa.2010.04.002

DO - 10.1016/j.jpaa.2010.04.002

M3 - Article

AN - SCOPUS:77956612237

SN - 0022-4049

VL - 215

SP - 101

EP - 107

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 2

ER -

Subcoalgebras and endomorphisms of free Hopf algebras

Abstract

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