A CLASS OF QUASITRIANGULAR GROUP-COGRADED MULTIPLIER HOPF ALGEBRAS
Glasgow mathematical journal, Tome 62 (2020) no. 1, pp. 43-57
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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
@article{10_1017_S0017089518000514,
author = {YANG, TAO and ZHOU, XUAN and ZHU, HAIXING},
title = {A {CLASS} {OF} {QUASITRIANGULAR} {GROUP-COGRADED} {MULTIPLIER} {HOPF} {ALGEBRAS}},
journal = {Glasgow mathematical journal},
pages = {43--57},
year = {2020},
volume = {62},
number = {1},
doi = {10.1017/S0017089518000514},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000514/}
}
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