JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (12): 40-48.doi: 10.6040/j.issn.1671-9352.0.2020.228
LU Zhi-ying, YUAN Ji-xia*
CLC Number:
| [1] BAXTER G. An analytic problem whose solution follows from a simple algebraic identity[J]. Pacific Journal of Mathematics, 1960, 10(3):731-742. [2] LI Xiuxian, HOU Dongping, BAI Chengming. Rota-Baxter operators on pre-Lie algebras[J]. Journal of Nonlinear Mathematical Physics, 2007, 14(2):269-289. [3] AN Huihui, BAI Chengming. From Rota-Baxter algebras to pre-Lie algebras[J]. Journal of Physics A: Mathematical and Theoretical, 2008, 41(1):201-219. [4] 陈美微, 刘文德. 有限维实可除代数的Rota-Baxter算子[J]. 数学的实践与认识, 2013, 43(16):243-247. CHEN Meiwei, LIU Wende. Rote-Baxter operators on finite-dimensional real division algebras[J]. Mathematics in Practice and Ractice Theory, 2013, 43(16):243-247. [5] 华秀英, 刘文德. 外代数上的Rota-Baxter算子[J]. 哈尔滨理工大学学报, 2013, 18(4):125-128. HUA Xiuying, LIU Wende. Rota-Baxter operators on exterior algebra[J]. Journal of Harbin Universrry of Science and Technology, 2013, 18(4):125-128. [6] TANG Xiaomin, ZHANG Yang, SUN Qiong. Rota-Baxter operators on 4-dimensional complex simple associative algebras[J]. Applied Mathematics and Computation, 2014, 229(25):173-186. [7] 范素军, 刘东艳, 吴艳茹, 等. 李代数的Rota-Baxter算子[J]. 河北师范大学学报(自然科学版), 2014, 38(6):541-544. FAN Sujun, LIU Dongyan, WU Yanru, et al. Rota-Baxter operators of Lie algebras[J]. Journal of Hebei Normal University(Natural Science Edition), 2014, 38(6):541-544. [8] PEI Jun, BAI Chengming, GUO Li. Rota-Baxter operators on sl(2,C)and solutions of the classical Yang-Baxter equation[J]. Journal of Mathematical Physics, 2014, 55(2):1-17. [9] ABDAOUI E-K, MABROUK S, MAKHLOUF A. Rota-Baxter operators on pre-Lie superalgebras[J]. Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42:1567-1606. [10] 顾金剑, 刘文德. 三维幂零李超代数的Yang-Baxter算子[J]. 纯粹数学与应用数学, 2014, 30(3):307-313. GU Jinjian, LIU Wende. Yang-Baxter operators on the Lie superalgebras of dimension three[J]. Pure and Applied Mathematics, 2014, 30(3):307-313. [11] 姜俨航. 两类三维李超代数上的Rota-Baxter算子[J]. 通化师范学院学报(自然科学), 2017, 38(6):29-31. JIANG Yanhang. Rota-Baxter operators on two types of three-dimensional Lie superalgebras[J]. Journal of Tonghua Normal University(Natural Science), 2017, 38(6):29-31. [12] 潘美新, 刘文德. 四维线状李超代数具有权1的Rota-Baxter算子[J]. 数学的实践与认识, 2017, 47(9):268-275. PAN Meixin, LIU Wende. Rota-Baxter operators of weight 1 filiform Lie superalgebras of dimension four[J]. Mathematics in Practice and Ractice Theory, 2017, 47(9):268-275. [13] 吕思琦, 刘文德. 五维Heisenberg李超代数的Rota-Baxter算子[J]. 数学的实践与认识, 2016, 46(20):248-258. LV Siqi, LIU Wende. Rota-Baxter operators on Heisenberg Lie superalgebras of dimension five[J]. Mathematics in Practice and Ractice Theory, 2016, 46(20):248-258. [14] 冯田, 刘文德. 一般线性李超代数gl(1|1)上的Rota-Baxter算子[J]. 哈尔滨师范大学自然科学学报, 2013, 29(4):12-15. FENG Tian, LIU Wende. Rota-Baxter operators on general linear Lie superalgebra gl(1|1)[J]. Natural Sciences Journal of Harbin Normal University, 2013, 29(4):12-15. [15] 张永正, 刘文德. 模李超代数[M]. 北京: 科学出版社, 2004: 1-191. ZHANG Yongzheng, LIU Wende. Modular Lie superalgebra[M]. Beijing: Science Press, 2004: 1-191. |
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