The coribbon structures of some finite dimensional braided Hopf algebras generated by 2×2-matrix coalgebras

Michihisa Wakui

Banach Center Publications (2003)

  • Volume: 61, Issue: 1, page 333-344
  • ISSN: 0137-6934

Abstract

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We determine the coribbon structures of some finite dimensional braided Hopf algebras generated by 2×2-matrix coalgebras constructed by S. Suzuki. As a consequence, we see that such a Hopf algebra has a coribbon structure if and only if it is of Kac-Paljutkin type.

How to cite

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Michihisa Wakui. "The coribbon structures of some finite dimensional braided Hopf algebras generated by 2×2-matrix coalgebras." Banach Center Publications 61.1 (2003): 333-344. <http://eudml.org/doc/281745>.

@article{MichihisaWakui2003,
abstract = {We determine the coribbon structures of some finite dimensional braided Hopf algebras generated by 2×2-matrix coalgebras constructed by S. Suzuki. As a consequence, we see that such a Hopf algebra has a coribbon structure if and only if it is of Kac-Paljutkin type.},
author = {Michihisa Wakui},
journal = {Banach Center Publications},
keywords = {finite-dimensional braided cosemisimple Hopf algebras; quadratic bialgebras; coribbon Hopf algebras; quasitriangular structures},
language = {eng},
number = {1},
pages = {333-344},
title = {The coribbon structures of some finite dimensional braided Hopf algebras generated by 2×2-matrix coalgebras},
url = {http://eudml.org/doc/281745},
volume = {61},
year = {2003},
}

TY - JOUR
AU - Michihisa Wakui
TI - The coribbon structures of some finite dimensional braided Hopf algebras generated by 2×2-matrix coalgebras
JO - Banach Center Publications
PY - 2003
VL - 61
IS - 1
SP - 333
EP - 344
AB - We determine the coribbon structures of some finite dimensional braided Hopf algebras generated by 2×2-matrix coalgebras constructed by S. Suzuki. As a consequence, we see that such a Hopf algebra has a coribbon structure if and only if it is of Kac-Paljutkin type.
LA - eng
KW - finite-dimensional braided cosemisimple Hopf algebras; quadratic bialgebras; coribbon Hopf algebras; quasitriangular structures
UR - http://eudml.org/doc/281745
ER -

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