Xiang Ni

PhD Candidate in Mathematics

Contact Information

California Institute of Technology

Department of Mathematics, MC 253-37

Pasadena, CA 91125

xni-at-caltech-dot-edu

Publications

1. Nonabelian generalized Lax pairs, the classical Yang-Baxter equation and PostLie algebras, Communications in Mathematical Physics, 297 (2010) 553-596. (With C. Bai and L. Guo) Download

2. Spectial symplectic Lie groups and hypersymplectic Lie groups, Manuscripta Mathematica 133 (2010) 373-408. (With C. Bai) Download

3. Some results on L-dendriform algebras, Journal of Geometry and Physics, 60 (2010) 940-950. (With C. Bai, D. Hou) Download

4. Pre-alternative algebras and pre-alternative bialgebras, Pacific Journal of Mathematics, 248 (2010) 355-391. (With C. Bai) Download

5. Generalizations of the classical Yang-Baxter equation and O-operators, Journal of Mathematical Physics 52 (2011) 063515. (With C. Bai and L. Guo) Download

6. L-quadri-algebras, Science in China (Series A), 41 (2011) 105-124. (With C. Bai and L. Liu) Download

7. O-operators on associative algebras and associative Yang-Baxter equations, Pacific Journal of Mathematics 256 (2012) 257-289. (With C. Bai and L. Guo) Download

8. Octo-bialgebras, Algebra Colloquium, 19 (2012) 305-332. (With C. Bai) Download

9. O-operators on associative algebra, associative Yang-Baxter equations and dendriform algebras (a survey), in: Proceeding of the International Workshop on Quantized Algebra and Physics (2011) 10-51. (With C. Bai and L. Guo) Download

10. Splitting of operations, Manin products and Rota-Baxter operators, International Mathematics Research Notices, 3 (2013) 485-524. (With C. Bai, O. Bellier and L. Guo) Download

11. Pre-Jordan algebras, Mathematica Scandinavica, 112 (2013) 19-48. (With C. Bai and D. Hou) Download

12. Relative Rota-Baxter operators and tridendriform algebras, Journal of Algebra and Its Applications, 12 (2013) 1350027. (With C. Bai and L. Guo) Download

13. Poisson Bialgebras, Journal of Mathematical Physics, 54 (2013) 023515. (With C. Bai) Download

14. Successors and duplicators of operads, Manin products and operators. (a survey) Forthcoming in The XXIX International Colloquium on Group-Theoretical Methods in Physics (2012). (With J. Pei, C. Bai and L. Guo)

15. Pseudo-Hessian Lie algebras and L-dendriform algebras. Forthcoming in Journal of Algebra, (With C. Bai).

Preprints

1. A note on hypersymplectic manifolds.

2. Replicating of binary operads, Koszul duality, Manin products and average operators. (With J. Pei, C. Bai and L. Guo) Download

Invited Lectures

July 2010: 45-minutes talk at "International Conference on Operads and Universal Algebra", Chern Institute of Mathematics, Tianjin, China.

August 2012: 50-miniutes talk at "Multiple Zeta Values, Rota-Baxter Algebras and Related Topics", Lanzhou University, Lanzhou, China.