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Publications Influence

On pointed Hopf algebras associated to some conjugacy classes in $\mathbb{S}_n$

- N. Andruskiewitsch, Shouchuan Zhang
- Mathematics
- 1 November 2005

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 the… Expand

37 8- PDF

Synthesis of rambutan-like MoS2/mesoporous carbon spheres nanocomposites with excellent performance for supercapacitors

- Shouchuan Zhang, Ruirui Hu, +6 authors C. Tu
- Materials Science
- 28 February 2017

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 and… Expand

42 1

Quantitative Assessment of the Mechanisms of Earthquake-Induced Groundwater-Level Change in the MP Well, Three Gorges Area

- Shouchuan Zhang, Zheming Shi, Guangcai Wang, Z. Zhang
- Geology
- Pure and Applied Geophysics
- 1 July 2018

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 the… Expand

5 1

Classical Yang- Baxter Equation and Low Dimensional Triangular Lie Bialgebras Over Arbitary Field

- Shouchuan Zhang
- Physics, Mathematics
- 7 September 1998

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 the… Expand

16 1- PDF

Double Bicrosssum of Braided Lie algebras

- Shouchuan Zhang, T. Zhang
- Mathematics
- 8 January 2007

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 is… Expand

4 1- PDF

Generalized path algebras and pointed Hopf algebras

- Shouchuan Zhang, Y. Zhang, Xijing Guo
- Mathematics
- 28 October 2003

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

4 1- PDF

DOUBLE BICROSSPRODUCTS IN BRAIDED TENSOR CATEGORIES

- Shouchuan Zhang, Huixiang Chen
- Mathematics
- 21 March 2001

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. The… Expand

25 1

Integrals of Braided Hopf Algebras

- Xijing Guo, Shouchuan Zhang
- Mathematics
- 10 November 2005

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. The… Expand

15 1- PDF

Erratum: ``Effective-field-theory model for the fractional quantum hall effect'' [Phys. Rev. Lett. 62, 82 (1988)]

- Shouchuan Zhang, T. H. Hansson, S. Kivelson
- Physics
- 1989

6 1

Local quasitriangular Hopf algebras.

- Shouchuan Zhang, M. Gould, Y. Zhang
- Mathematics
- 23 January 2006

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 equation… Expand

7 1- PDF