Preprints

[23] Jian Chen, Li Luo, Multiplication formulas and isomorphism theorem of iSchur superalgebras, arXiv: 2202.02564. 39 pages.

[22] Li Luo, Zheming Xu, Geometric Howe dualities of finite type, arXiv: 2109.10537. 33 pages.

Paper accepted

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

[20] Zhaobing Fan, Chun-Ju Lai, Yiqiang Li, Li Luo, Weiqiang Wang, Affine Hecke algebras and quantum symmetric pairs, Mem. Amer. Math. Soc., to appear, arXiv: 1609.06199. 87 pages. (Research Monograph)

[19] Li Luo, Weiqiang Wang, Lectures on dualities ABC in representation theory, to appear in the “Special Volume for celebrating Professor Cao’s (曹锡华) centennial birthday”, Word Scientific Press (Singapore),  arXiv: 2012.07203. 57 pages.

[18] Chih-Whi Chen, Shun-Jen Cheng, Li Luo, Blocks and characters of D(2|1; ζ)-modules of non-integral weights, Transform. Groups, to appear, DOI https://doi.org/10.1007/s00031-021-09691-8, arXiv: 2002.02662. 27 pages.

Paper Published

[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.