Preprints

Paper accepted

[23] Weideng Cui, Li Luo, Weiqiang Wang, Cells in affine q-Schur algebras, Israel J. Math., to appear, arXiv: 2004.00193. 31 pages.

[22] Zhaobing Fan, Chun-Ju Lai, Yiqiang Li, Li Luo, Weiqiang Wang, Affine Hecke algebras and quantum symmetric pairs, Mem. Amer. Math. Soc., to appear (281 (2023), no. 1386, ix+92pp), arXiv: 1609.06199. (Research Monograph)

Paper Published

[21] Jian Chen, Li Luo, Multiplication formulas and isomorphism theorem of iSchur superalgebras, J. Pure Appl. Alg. 227 (2023), 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), 1223--1250.

[19] Li Luo, Zheming Xu, Geometric Howe dualities of finite type, Adv. Math. 410 (2022), 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.