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On pointed Hopf algebras associated to some conjugacy classes in $\mathbb{S}_n$
We show that any pointed Hopf algebra with infinitesimal braiding associated to the conjugacy class of π ∈ Sn is infinite-dimensional, if either the order of π is odd, or all cycles in theExpand
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Synthesis of rambutan-like MoS2/mesoporous carbon spheres nanocomposites with excellent performance for supercapacitors
Abstract A novel rambutan-like composite of MoS2/mesoporous carbon spheres were synthesized by a simple two-step hydrothermal and post-annealing approach via using glucose as C source andExpand
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Quantitative Assessment of the Mechanisms of Earthquake-Induced Groundwater-Level Change in the MP Well, Three Gorges Area
Earthquake-induced groundwater-level changes have been widely studied, though the mechanisms causing coseismic responses are still debated. In this study, we employ several models to fit theExpand
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Classical Yang- Baxter Equation and Low Dimensional Triangular Lie Bialgebras Over Arbitary Field
Let $ L $ be a Lie algebra over arbitary field $ k $ with dim $ L $ =3 and dim $ L' $ =2. All solutions of constant classical Yang- Baxter equation (CYBE) in Lie algebra $ L $ are obtained and theExpand
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Double Bicrosssum of Braided Lie algebras
The condition for double bicrosssum to be a braided Lie bialgebra is given. The result generalizes quantum double, bicrosssum, bicrosscosum, bisum. The quantum double of braided Lie bialgebras isExpand
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Generalized path algebras and pointed Hopf algebras
Most of pointed Hopf algebras of dimension p m with large coradical are shown to be generalized path algebras. By the theory of generalized path algebras it is obtained that the representations,Expand
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DOUBLE BICROSSPRODUCTS IN BRAIDED TENSOR CATEGORIES
The double bicrossproduct D = A φ α ⋈ψ β H of two bialgebras A and H is constructed in a braided tensor category and the necessary and sufficient conditions for D to be a bialgebra are given. TheExpand
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Integrals of Braided Hopf Algebras
The faithful quasi-dual $H^d$ and strict quasi-dual $H^{d'}$ of an infinite braided Hopf algebra $H$ are introduced and it is proved that every strict quasi-dual $H^{d'}$ is an $H$-Hopf module. TheExpand
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Local quasitriangular Hopf algebras.
We find a new class of Hopf algebras, local quasitriangular Hopf algebras, which generalize quasitriangular Hopf algebras. Using these Hopf algebras, we obtain solutions of the Yang-Baxter equationExpand
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