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职称: | 教授,博导 |
---|---|
所属部门: | 基础数学系 |
办公室: | 闵行数学楼225室 |
办公电话: | 54342646-225 |
邮箱: | lluo@math.ecnu.edu.cn |
个人主页: | http:/~lluo |
学校名录: | https://faculty.ecnu.edu.cn/_s42/ll2/main.psp |
教育经历:
2000.09--2004.07 中国科学技术大学 数学系 本科
2004.09--2009.07 中国科学院 数学与系统科学研究院 博士
工作经历:
2009.08--2012.12 hbs红宝石平台 数学系 讲师
2013.01--2021.12 hbs红宝石平台 数学系 副教授
2022.01至今 hbs红宝石平台 hbs红宝石平台 教授
学术访问:
2009.01--2009.07 澳大利亚 悉尼大学 数学与统计学院
2013.09--2014.04 美国 弗吉尼亚大学 数学系
2014.12 台北 中研院 数学研究所
Preprints
[25] Weideng Cui, Li Luo, Zheming Xu, Asymptotic Schur algebras and cellularity of q-Schur algebras, arXiv: 2305.14633. 28 pages.
Paper accepted
[24] Weideng Cui, Li Luo, Weiqiang
Wang, Cells in affine q-Schur algebras, Israel
J. Math., to appear, arXiv:
2004.00193. 31 pages.
Paper Published
[23] Li Luo, Zheming Xu, Invariant theory of i-quantum groups of type AIII, Lett.
Math. Phys, 114 (2024), no. 2, Paper
No. 46, 19pp.
[22] Zhaobing Fan, Chun-Ju Lai, Yiqiang Li, Li Luo, Weiqiang Wang, Affine Hecke algebras and quantum symmetric pairs, Mem. Amer. Math. Soc. 281 (2023), no. 1386, ix+92pp. (Research Monograph)
[21] Jian Chen, Li Luo, Multiplication formulas
and isomorphism theorem of iSchur superalgebras, J. Pure Appl. Alg. 227 (2023), Paper No. 107229,
36pp.
[20] Chih-Whi Chen, Shun-Jen Cheng, Li
Luo, Blocks and characters of D(2|1;ζ)-modules of non-integral
weights, Transform. Groups 27 (2022), no. 4, 1223--1250.
[19] Li Luo, Zheming Xu, Geometric Howe dualities of finite type, Adv. Math. 410 (2022), Paper
No. 108751, 38pp.
[18] Li Luo, Weiqiang Wang, Lectures on dualities ABC in representation theory, Forty years
of Algebraic Groups, Algebraic Geometry, and Representation Theory in
China (In Memory of the Centenary
Year of Xihua Cao’s Birth) , World Scientific (Singapore), 2022. arXiv: 2012.07203. 57 pages. (Lecture Notes)
[17] Li Luo, Weiqiang Wang, The q-Schur algebras and q-Schur dualities of finite type, J. Inst. Math. Jussieu 21 (2022), no. 1, 129--160.
[16] Chih-Whi Chen, Shun-Jen Cheng, Li
Luo, Blocks and characters of G(3)-modules of
non-integral weights, J. Algebra 588 (2021), 574--616.
[15] Chun-Ju Lai, Li Luo, Schur algebras and quantum symmetric pairs
with unequal parameters, Int. Math. Res. Not. 2021 (2021), no. 13, 10207--10259.
[14] Zhaobing Fan, Chun-Ju Lai, Yiqiang Li, Li Luo, Weiqiang Wang, Affine flag varieties and quantum symmetric pairs, Mem. Amer. Math. Soc. 265 (2020), no. 1285, v+123 pp. (Research Monograph)
[13] Zhaobing Fan, Chun-Ju Lai, Yiqiang Li, Li Luo, Weiqiang Wang, Hideya Watanabe, Quantum Schur duality of affine
type C with three parameters, Math. Res. Lett. 27 (2020), no. 1, 79--114.
[12] Jie Liu, Li Luo, Weiqiang Wang, Odd singular vector formula for general linear superalgebras, Bull. Inst. Math. Acad. Sin. (N.S.) 14 (2019), no. 4, 389--402.
[11] Li Luo, Husileng Xiao, Vust's theorem and higher level Schur-Weyl duality for types B, C and D, J. Pure Appl. Alg. 222 (2018), no. 2, 340--358.
[10] Chun-Ju Lai, Li Luo, An elementary construction of monomial bases of modified quantum affine gl_n, J. London Math. Soc. 96 (2017), no. 1, 15--27.
[9] Bintao Cao, Li Luo, Ke Ou, Extensions of inhomogeneous polynomial representations for sl(m+1|n), J. Math. Phys. 55 (2014), no.8, 081705, 13pp.
[8] Bintao Cao, Li Luo, Hom-Lie superalgebra structures on finite-dimensional simple Lie superalgebras, J. Lie Theory 23 (2013), no. 4, 1115--1128.
[7] Bintao Cao, Li Luo, Trivial module for ortho-symplectic Lie superalgebras and Littlewood's formula, Sci. China Math. 56 (2013), no. 11, 2251--2260.
[6] Lili Liu, Li Luo, On ad-nilpotent b-ideals for orthogonal Lie algebras, Acta Math. Sin. (Engl. Ser.) 29 (2013), no. 2, 241--262.
[5] Li Luo, Abelian ideals with given dimension in Borel subalgebras, Algebra Colloq. 19 (2012), no. 4, 755--770.
[4] Li Luo, Character formulae for ortho-symplectic Lie superalgebras osp(n|2), J. Algebra 353 (2012), 31--61.
[3] Li Luo, Oriented tree diagram Lie algebras and their abelian ideals, Acta Math. Sin. (Engl. Ser.) 26 (2010), no. 11, 2041--2058.
[2] Li Luo, Cohomology of oriented tree diagram Lie algebras, Comm. Algebra 37 (2009), no. 3, 965--984.
[1] Li Luo, Abelian ideals and cohomology of symplectic type, Proc. Amer. Math. Soc. 137 (2009), no. 2, 479--485.