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Luo, Li ( 罗 栗 ) 
Title: Professor
Department: Pure Mathematics
Office: Room 225, Math Building
Telephone: 54342646-225
Email: lluo@math.ecnu.edu.cn
Homepage: http://math.ecnu.edu.cn/~lluo
Homepage2: https://faculty.ecnu.edu.cn/_s42/ll2/main.psp
Research Interest
Lie algebras
Resume
Resume

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 华东师范大学 数学系 讲师
2013.01--2021.12
华东师范大学 数学系 副教授
2022.01
至今 华东师范大学 数学科学学院 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 中院 数学研究所

 

Selected Publications

Preprints

[27] Run-Qiang Jian, Li Luo, Xianfa Wu, Lyndon bases of split i-quantum groups, arXiv: 2502.20958. 27 pages.

[26] Li Luo, Zheming Xu, Yang Yang, Geometric construction of Schur algebras, arXiv: 2411.18273. 54 pages.

[25] Weideng Cui, Li Luo, Zheming Xu, Asymptotic Schur algebras and cellularity of q-Schur algebras, arXiv: 2305.14633. 28 pages.

Paper accepted

Null

Paper Published

[24] Weideng Cui, Li Luo, Weiqiang Wang, Cells in affine q-Schur algebras, Israel J. Math. 263 (2024), 129--187.

[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.

Recent Publications(From MathSciNet)
MR4998915 Pending Jian, Run-Qiang; Luo, Li; Wu, Xianfa Lyndon bases of split $\imath $quantum groups. J. Algebraic Combin. 62 (2025), no. 4, Paper No. 59, 29 pp. 16T20 (17B37 20G42)
Publication Year 2025 Indexed 2026-02-20
MR4819950 Reviewed Cui, Weideng; Luo, Li; Wang, Weiqiang Cells in affine $q$-Schur algebras. Israel J. Math. 263 (2024), no. 1, 129–167. (Reviewer: Jun Hu) 20G43 (20C08)
Publication Year 2024 Indexed 2025-01-13 Review Published2025-07-29
MR4719419 Reviewed Luo, Li; Xu, Zheming Invariant theory of $\imath$quantum groups of type AIII. Lett. Math. Phys. 114 (2024), no. 2, Paper No. 46, 19 pp. (Reviewer: Hideya Watanabe) 17B37 (16W22)
Publication Year 2024 Indexed 2024-05-09 Review Published2025-04-28
MR4545016 Reviewed Luo, Li; Wang, Weiqiang 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, 383–448, East China Norm. Univ. Sci. Rep., 16, World Sci. Publ., Singapore, [2023], ©2023. 17B37 (20C08)
Publication Year 2023 Indexed 2023-05-03 Review Published2023-05-03
MR4528928 Reviewed Fan, Zhaobing; Lai, Chun-Ju; Li, Yiqiang; Luo, Li; Wang, Weiqiang Affine Hecke algebras and quantum symmetric pairs. Mem. Amer. Math. Soc. 281 (2023), no. 1386, ix+92 pp. ISBN: 978-1-4704-5626-9; 978-1-4704-7319-8 (Reviewer: Kei Yuen Chan) 17B10 (20G42 20G43)
Publication Year 2023 Indexed 2023-03-07 Review Published2024-01-05
MR4478371 Reviewed Chen, Jian; Luo, Li Multiplication formulas and isomorphism theorem of $\imath$Schur superalgebras. J. Pure Appl. Algebra 227 (2023), no. 3, Paper No. 107229, 36 pp. (Reviewer: Mingqiang Liu) 20G43
Publication Year 2023 Indexed 2022-11-19 Review Published2023-05-04
MR4507984 Reviewed Chen, Chih-Whi; Cheng, Shun-Jen; Luo, Li Blocks and characters of $D(2|1; \zeta)$-modules of non-integral weights. Transform. Groups 27 (2022), no. 4, 1223–1250. (Reviewer: José Carlos Santos) 17B10 (17B25)
Publication Year 2022 Indexed 2023-02-02 Review Published2023-09-27
MR4498206 Reviewed Luo, Li; Xu, Zheming Geometric Howe dualities of finite type. Adv. Math. 410 (2022), part B, Paper No. 108751, 38 pp. (Reviewer: H. H. Andersen) 17B37 (20G43)
Publication Year 2022 Indexed 2023-01-03 Review Published2023-07-13
MR4366335 Reviewed Luo, Li; Wang, Weiqiang The $q$-Schur algebras and $q$-Schur dualities of finite type. J. Inst. Math. Jussieu 21 (2022), no. 1, 129–160. (Reviewer: Mingqiang Liu) 20G43 (17B10 20C08)
Publication Year 2022 Indexed 2022-03-11 Review Published2022-07-01
MR4318828 Reviewed Chen, Chih-Whi; Cheng, Shun-Jen; Luo, Li Blocks and characters of $G(3)$-modules of non-integral weights. J. Algebra 588 (2021), 574–616. (Reviewer: Bintao Cao) 17B25 (17B10)
Publication Year 2021 Indexed 2021-12-04 Review Published2022-08-01
MR4283577 Reviewed Lai, Chun-Ju; Luo, Li Schur algebras and quantum symmetric pairs with unequal parameters. Int. Math. Res. Not. IMRN 2021, no. 13, 10207–10259. (Reviewer: Anton Cox) 20C08 (17B37)
Publication Year 2021 Indexed 2021-08-16 Review Published2022-04-13
MR4088809 Reviewed Fan, Zhaobing; Lai, Chun-Ju; Li, Yiqiang; Luo, Li; Wang, Weiqiang; Watanabe, Hideya Quantum Schur duality of affine type C with three parameters. Math. Res. Lett. 27 (2020), no. 1, 79–114. (Reviewer: Xun Xie) 20C08 (17B37)
Publication Year 2020 Indexed 2020-08-10 Review Published2021-03-09
MR4080913 Reviewed Fan, Zhaobing; Lai, Chun-Ju; Li, Yiqiang; Luo, Li; Wang, Weiqiang Affine flag varieties and quantum symmetric pairs. Mem. Amer. Math. Soc. 265 (2020), no. 1285, v+123 pp. ISBN: 978-1-4704-4175-3; 978-1-4704-6138-6 (Reviewer: Zhihua Chang) 17B37 (14F43 14M15 20G25)
Publication Year 2020 Indexed 2020-06-30 Review Published2022-02-10
MR4054342 Reviewed Liu, Jie; Luo, Li; Wang, Weiqiang Odd singular vector formula for general linear Lie superalgebras. Bull. Inst. Math. Acad. Sin. (N.S.) 14 (2019), no. 4, 389–402. (Reviewer: Zhihua Chang) 17B10
Publication Year 2019 Indexed 2020-03-12 Review Published2020-08-10
MR3694457 Reviewed Luo, Li; Xiao, Husileng Vust's Theorem and higher level Schur-Weyl duality for types $B$, $C$ and $D$. J. Pure Appl. Algebra 222 (2018), no. 2, 340–358. (Reviewer: Stanley Orlando Juriaans) 20C05 (17B45)
Publication Year 2018 Indexed 2017-12-19 Review Published2018-10-26
MR3687937 Reviewed Lai, Chun-Ju; Luo, Li An elementary construction of monomial bases of modified quantum affine $\mathfrak{gl}_n$. J. Lond. Math. Soc. (2) 96 (2017), no. 1, 15–27. (Reviewer: Jan E. Grabowski) 17B37 (17B10 20C08)
Publication Year 2017 Indexed 2017-10-25 Review Published2018-03-19
MR3390701 Reviewed Cao, Bintao; Luo, Li; Ou, Ke Extensions of inhomogeneous polynomial representations for $\mathfrak{sl}(m+1|n)$. J. Math. Phys. 55 (2014), no. 8, 081705, 13 pp. (Reviewer: Zi-Xin Hou) 17B20 (17B10)
Publication Year 2014 Indexed 2015-11-12 Review Published2016-02-23
MR3185216 Reviewed Cao, Bintao; Luo, Li Hom-Lie superalgebra structures on finite-dimensional simple Lie superalgebras. J. Lie Theory 23 (2013), no. 4, 1115–1128. (Reviewer: Quanqin Jin) 17B05 (17B40)
Publication Year 2013 Indexed 2014-05-23 Review Published2014-09-18
MR3123569 Reviewed Cao, BinTao; Luo, Li Trivial module for ortho-symplectic Lie superalgebras and Littlewood's formula. Sci. China Math. 56 (2013), no. 11, 2251–2260. (Reviewer: Stephen Slebarski) 17B20 (17B10)
Publication Year 2013 Indexed 2014-01-31 Review Published2014-11-19
MR3016526 Reviewed Liu, Li Li; Luo, Li On ad-nilpotent $\germ b$-ideals for orthogonal Lie algebras. Acta Math. Sin. (Engl. Ser.) 29 (2013), no. 2, 241–262. (Reviewer: Leandro R. Cagliero) 17B20 (17B30)
Publication Year 2013 Indexed 2013-05-14 Review Published2013-10-16

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