A CLASS OF QUASITRIANGULAR GROUP-COGRADED MULTIPLIER HOPF ALGEBRAS
Glasgow mathematical journal, Tome 62 (2020) no. 1, pp. 43-57

Voir la notice de l'article provenant de la source Cambridge University Press

For a multiplier Hopf algebra pairing 〈A,B〉, we construct a class of group-cograded multiplier Hopf algebras D(A,B), generalizing the classical construction of finite dimensional Hopf algebras introduced by Panaite and Staic Mihai [Isr. J. Math. 158 (2007), 349–365]. Furthermore, if the multiplier Hopf algebra pairing admits a canonical multiplier in M(B⊗A) we show the existence of quasitriangular structure on D(A,B). As an application, some special cases and examples are provided.
YANG, TAO; ZHOU, XUAN; ZHU, HAIXING. A CLASS OF QUASITRIANGULAR GROUP-COGRADED MULTIPLIER HOPF ALGEBRAS. Glasgow mathematical journal, Tome 62 (2020) no. 1, pp. 43-57. doi: 10.1017/S0017089518000514
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