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

Volume 61 / 2003

Michihisa Wakui Banach Center Publications 61 (2003), 333-344 MSC: Primary 16W30; Secondary 57M27. DOI: 10.4064/bc61-0-20

Abstract

We determine the coribbon structures of some finite dimensional braided Hopf algebras generated by $2\times 2$-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.

Authors

  • Michihisa WakuiDepartment of Mathematics
    Osaka University
    Toyonaka, Osaka 560-0043, Japan
    e-mail

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