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- W2952201770 abstract "Let X=GM be a finite group factorisation. It is shown that the quantum double D(H) of the associated bicrossproduct Hopf algebra $H=kMcobicross k(G)$ is itself a bicrossproduct $kXcobicross k(Y)$ associated to a group YX, where $Y=Gtimes M^{op}$. This provides a class of bicrossproduct Hopf algebras which are quasitriangular. We also construct a subgroup $Y^theta X^theta$ associated to every order-reversing automorphism $theta$ of X. The corresponding Hopf algebra $kX^thetacobicross k(Y^theta)$ has the same coalgebra as H. Using related results, we classify the first order bicovariant differential calculi on H in terms of orbits in a certain quotient space of X." @default.
- W2952201770 created "2019-06-27" @default.
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- W2952201770 date "1997-01-30" @default.
- W2952201770 modified "2023-09-23" @default.
- W2952201770 title "Quasitriangular and differential structures on bicrossproduct Hopf algebras" @default.
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