Runxuan Zhang

Education:

PhD. Chern Institute of Mathematics, Nankai University, China

Postdoctoral:

Department of Mathematics and Statistics, Queen’s University, Canada

Research Interests:

Lie (Super)Algebra
Mathematical Physics

Select Publications:

1. Parity duality of super r-matrices via O-operators and pre-Lie superalgebras (with Chengming Bai & Li Guo), to appear in Mathematical Research Letters. 
2. Skew-symmetric solutions of the classical Yang-Baxter equation and O-operators of Malcev algebras (with Shan Ren), to appear in Filomat.
3. Left-symmetric superalgebras on special linear Lie superalgebras (with Ivan Dimitrov). Journal of Algebra 635 (2023) 384 — 410.
4. A commutative algebra approach to multiplicative Hom-Lie algebras (with Yin Chen). Linear and Multilinear Algebra 71 (2023) 1127 — 1144. 
5. Representations of ω-Lie algebras and tailed derivations of Lie algebras. International Journal of Algebra and Computation 31 (2021) 325 — 339.
6. A generalization on derivations of Lie algebras (with Hongliang Chang & Yin Chen). Electronic Research Archive 29 (2021) 2457 — 2473. 
7. On modular vector invariant fields (with Ying Han). Algebra Colloquium 27 (2020) 749 — 752.
8. Derivations, automorphisms and representations of complex ω-Lie algebras (with Yin Chen, Ziping Zhang & Rushu Zhuang). Communications in Algebra 46 (2018) 708 — 726. 
9. Classification of 3-dimensional complex ω-Lie algebras (with Yin Chen & Chang Liu). Portugaliae Mathematica 71 (2014) 97 — 108. 
10. On some left-symmetric superalgebras (with Chengming Bai). Journal of Algebra and its Applications 11 (2012) 1250097, 26 pages.
11. A Hom-version of the affinizations of Balinskii-Novikov and Novikov superalgebras (with Dongping Hou & Chengming Bai). Journal of Mathematical Physics 52 (2011) 023505. 
12. Generalized derivations of Lie superalgebras (with Yongzheng Zhang). Communications in Algebra 38 (2010) 3737 — 3751.