李彦博,男,1974年9月,博士,副教授,博士生导师,硕士生导师。
联系方式
电子邮件:liyanbo707@163.com
研究方向
代数与表示理论
教育背景
1998.08-2001.06 河北师范大学,数学教育专业 理学学士.
2004.09-2006.07 北京理工大学,基础数学专业 理学硕士.
2006.09-2009.06 北京师范大学,基础数学专业 理学博士.
工作履历
2009.07-2012.12 东北大学秦皇岛分校,讲师.
2013.01 至今 东北大学秦皇岛分校,副教授.
学术访问
2021.08-2022.09 德国斯图加特大学,代数与数论研究所, 访问学者(国家公派留学)
2023.07 新加坡国立大学, 数学系,访问学者
2024.06-07 新加坡国立大学, 数学系,访问学者
科研情况
【在研项目】
1.导出等价、范畴化与Lie理论,数学与复杂系统教育部重点实验室项目,2025.01-2027.06,主持。
【结题项目】
1.胞腔代数、Schur-Weyl对偶与Wreath积,河北省自然基金,2021.01-2024.12,主持.
2.Periplectic Brauer代数的结构、表示及其应用, 国家自然科学基金,2019.01-2022.12,第一参与人.
3.胞腔代数及其在分析中的应用,河北省自然基金,2017.01-2019.12,主持.
4.典型群与量子群的不变量理论及其应用,国家自然科学基金, 2014.01-2016.12,第一参与人.
5.胞腔代数的中心、根基与Hochschild上同调,河北省自然科学基金, 2013.01-2015.12,主持.
6.胞腔代数的分次理论,中央高校基本科研业务费,2014.01-2015.12,主持.
7.胞腔代数与仿射胞腔代数,中央高校基本科研业务费,2012.01-2013.12, 主持.
奖励与荣誉
2024年 辽宁省优秀硕士学位论文指导教师.
学术成果
发表学术论文30余篇,出版学术专著2部.
【代表性学术论文】
1.Yanbo Li and Xiangyu Qi. Moving vectors I: Representation type of blocks of Ariki-Koike algebras. Journal of the London mathematical society (2) 111(2025): e70169 1-45.
2.Yanbo Li and Kai Meng Tan. Cores and weights of multipartitions and blocks of Ariki-Koike algebras. Journal of algebraic combinatorics, 61(2025):43 1-26.
3.Wenxiu Li and Yanbo Li. Rota-Baxter algebra structures arising from cellular algebras. Advances in mathematics (China), 53 (2024) 133-141.
4.Yanbo Li and Bowen Sun. Semi-simplicity of affine cellular algebras. Journal of algebras and its applications, 23 (2024) 2450170 1-10.
5.Pei Wang and Yanbo Li. On the Grothendieck ring of the sequence of walled Brauer algebras. Algebra Colloquium, 30 (2023) 395-410.
6.Yanbo Li and Xiaolin Shi. Semi-simplicity of Temperley-Lieb Algebras of type D. Algebra and Representation Theory, 25 (2022) 1133-1158.
7.Yanbo Li and Deke Zhao. On graded symmetric cellular algebras. Journal of the Australian Mathematical Society, 108 (2020) 349-362.
8.Yanbo Li and Dashu Xu. Radicals of weight one blocks of Ariki Koike algebras. Communications in algebra, 48 (2020) 3771-3779.
9.Yanbo Li, Feng Wei and Ajda Fošner. K-commuting mappings of generalized matrix algebras. Periodica Mathematica Hungarica, 79 (2019), 50-77.
10.Yanbo Li and Feng Wei. Jordan derivations of generalized one-point extensions. Filomat, 32 (2018) 4089-4098.
11.Yanbo Li and Feng Wei. Jordan derivations and Lie derivations on path algebras. Bulletin of the Iranian Mathematical Society, 44 (2018) 79-92.
12.Yanbo Li and Chenyou Zheng. A note on Jordan derivations of trivial generalized matrix algebras. Commun. Korean Math. Soc., 32 (2017) 261-266
13.Yanbo Li. On the radical of the group algebra of a symmetric group. Journal of algebras and its applications, 16 (2017) 1-11.
14.Yanbo Li. Nakayama twisted centers and dual bases of Frobenius cellular algebras. Communications in algebra, 43 (2015) 5074-5086.
15.Yanbo Li and Feng Wei. Lie derivations of dual extensions of algebras. Colloquium Mathematicum, 141 (2015) 65-82.
16.Guiyu Yang and Yanbo Li. Standardly based algebras and 0-Hecke algebras. Journal of algebras and its applications, 14 (2015) 1-13.
17.Deke Zhao and Yanbo Li. Fusion procedure for degenerate cyclotomic Hecke algebras. Algebra and Representation Theory, 18 (2015) 449-461.
18.Yanbo Li and Deke Zhao. Projective cell modules of Frobenius cellular algebras. Monatshefte fur mathematic, 175 (2014) 283-291.
19.Yanbo Li. Cellularity of a new class of diagram algebras. Communications in algebra, 42 (2014) 4172-4181.
20.Yanqin Xu and Yanbo Li. K-skew Centralizing Maps of Generalized Matrix Algebras. Advances in mathematics (China), 43 (2014) 505-511.
21.Chenfang Li and Yanbo Li. Jordan left derivations of generalized matrix algebras. Communications in mathematical research, 30 (2014) 301-306.
22.Yanbo Li. Radicals of symmetric cellular algebras. Colloquium Mathematicum, 133 (2013) 67-83.
23.Yanbo Li, L. Wyk and Feng Wei. Jordan derivations and anti-derivations of generalized matrix algebras. Operators and Matrices, 7 (2013) 399-415.
24.Yanbo Li. Nakayama automorphisms of Frobenius cellular algebras. Bulletin of the Australian Mathematical Society, 86 (2012) 515-524.
25.Yanbo Li and Zhankui Xiao. On cell modules of symmetric cellular algebra. Monatshefte fur mathematic, 168 (2012) 49-64.
26.Yanbo Li and Feng Wei,Semi-centralizing maps of generalized matrix algebras. Linear Algebra and Its Applications, 436 (2012) 1122-1153.
27.Yanbo Li. Jucys-Murphy elements and centres of cellular algebras. Bulletin of the Australian Mathematical Society, 85 (2012) 261-270.
28.Yanbo Li and Dominik Benkovic,Jordan generalized derivations on triangular algebras. Linear and Multilinear Algebra, 59 (2011) 841-849.
29.Yanbo Li and Zhankui Xiao, Additivity of maps on generalized matrix algebras. Electronic Journal of Linear Algebra, 22 (2011) 743-757.
30.Yanbo Li. Centres of symmetric cellular algebras. Bulletin of the Australian Mathematical Society, 82 (2010) 511-522.
【专著】
1.李彦博 Frobenius胞腔代数. 沈阳:东北大学出版社, 2015.
2.李彦博,肖占魁 Morita系统环上的可加映射. 沈阳:东北大学出版社, 2012.
讲授课程情况
高等代数、抽象代数、线性代数、代数结构、矩阵论及其应用等.
指导研究生情况
指导硕士研究生7名,已毕业4名,1名获评辽宁省优秀硕士学位论文,在读3名.