Shu, Bin ( 舒 斌 )
| Title： | Professor |
|---|---|
| Department： | Pure Mathematics |
| Office： | Room 334, Math Building |
| Telephone： | 54342646-334 |
| Email： | bshu@math.ecnu.edu.cn |
| Homepage： | http://math.ecnu.edu.cn/~bshu |
| Homepage2： | https://faculty.ecnu.edu.cn/_s42/sb2/main.psp |
Research Interest
Lie Algebras and Representation Theory
Resume
Resume:
Selected Publications
Papers:
Books:
Books:
Recent Publications(From MathSciNet)
MR5054537
Pending
Duan, Feifei; Shu, Bin; Yao, Yufeng; Chakraborty, Priyanshu The category $\Cal{O}$ for Lie algebras of vector fields (II): Lie-Cartan modules and cohomology.
Publ. Res. Inst. Math. Sci. 62 (2026), no. 2, 341–377. 17B66 (17B10 17B56 17B70)
Publication Year 2026
Indexed 2026-05-28
MR5021823
Pending
Shu, Bin On automorphisms of affine superspaces.
J. Algebra Appl. 25 (2026), no. 7, Paper No. 2650047, 9 pp. 14A10 (14A22 14R15 16S38)
Publication Year 2026
Indexed 2026-04-13
MR4906143
Reviewed
Zeng, Yang; Shu, Bin Highest weight theory for minimal finite $W$-superalgebras and related Whittaker categories.
Publ. Res. Inst. Math. Sci. 61 (2025), no. 1, 53–137. (Reviewer: Elena Poletaeva) 17B10 (17B35)
Publication Year 2025
Indexed 2025-06-27
Review Published2025-11-06
MR4878801
Reviewed
Cheng, Changjie; Shu, Bin; Zeng, Yang Super Vust theorem and Schur-Sergeev duality for principal finite $W$-superalgebras.
J. Algebra 673 (2025), 138–187. (Reviewer: Yung-Ning Peng) 17B20 (17B08 17B10 81R05)
Publication Year 2025
Indexed 2025-06-05
Review Published2025-10-28
MR4878460
Pending
Chang, Hao; Shu, Bin; Yao, Yu-Feng Inverse limits of automorphisms of truncated polynomials and applications related to Jacobian conjecture.
J. Algebra Appl. 24 (2025), no. 7, Paper No. 2550175, 9 pp. 14R15 (14G17)
Publication Year 2025
Indexed 2025-05-19
MR4878451
Reviewed
Xie, Yu; Zhang, An; Shu, Bin Duplex Hecke algebras of type $B$.
J. Algebra Appl. 24 (2025), no. 7, Paper No. 2550166, 19 pp. (Reviewer: Shraddha Srivastava) 20G05 (17B20 17B45 17B50 20C08)
Publication Year 2025
Indexed 2025-06-04
Review Published2026-04-10
MR4857547
Reviewed
Shu, Bin; Zheng, Lisun; Ren, Ye Birational equivalence of the Zassenhaus varieties for basic classical Lie superalgebras and their purely-even reductive Lie subalgebras in odd characteristic.
Forum Math. 37 (2025), no. 3, 851–870. (Reviewer: Yu-Feng Yao) 17B50 (14E08 14M20 17B35 17B45)
Publication Year 2025
Indexed 2025-03-25
Review Published2025-12-17
MR4811601
Reviewed
Li, Yiyang; Shu, Bin; Yao, Yufeng A note on the Loewy lengths of baby Verma modules for modular Lie algebras.
J. Algebra 663 (2025), 913–932. (Reviewer: Jörg Feldvoss) 17B50 (17B10 17B20 17B35 17B45)
Publication Year 2025
Indexed 2024-12-19
Review Published2025-05-27
MR5035772
Reviewed
Shu, Bin; Zheng, Lisun A survey on centers and blocks for universal enveloping algebras of Lie superalgebras.
Proceedings of the International Consortium of Chinese Mathematicians 2019. Vol. 1 of 2,
757–780, Int. Press, Somerville, MA, 2024. 17B10 (17B50 17B66 17B70)
Publication Year 2024
Indexed 2026-05-02
Review Published2026-05-18
MR4800509
Reviewed
Shu, Bin Irreducible modules of modular Lie superalgebras and super version of the first Kac-Weisfeiler conjecture.
Canad. Math. Bull. 67 (2024), no. 3, 554–573. (Reviewer: Liang Yun Chen) 17B50 (17B20 17B30)
Publication Year 2024
Indexed 2024-12-20
Review Published2025-12-05
MR4736279
Reviewed
Duan, Fei-Fei; Shu, Bin; Yao, Yu-Feng Parabolic BGG categories and their block decomposition for Lie superalgebras of Cartan type.
J. Math. Soc. Japan 76 (2024), no. 2, 503–562. (Reviewer: Bintao Cao) 17B10 (17B66 17B70)
Publication Year 2024
Indexed 2024-06-24
Review Published2025-03-06
MR4661545
Reviewed
Ou, Ke; Shu, Bin Varieties of Borel subalgebras for the Jacobson-Witt Lie algebras.
Forum Math. 35 (2023), no. 6, 1583–1608. (Reviewer: Yu-Feng Yao) 17B50 (17B30 17B70)
Publication Year 2023
Indexed 2023-12-22
Review Published2025-03-10
MR4635361
Reviewed
Li, Yi-Yang; Shu, Bin Jantzen filtration of Weyl modules for general linear supergroups.
Forum Math. 35 (2023), no. 5, 1435–1468. (Reviewer: H. H. Andersen) 20G05 (17B20 17B45 17B50)
Publication Year 2023
Indexed 2023-10-19
Review Published2024-05-14
MR4489955
Reviewed
Ou, Ke; Shu, Bin Borel subalgebras of restricted Cartan-type Lie algebras.
J. Algebra Appl. 21 (2022), no. 11, Paper No. 2250210, 17 pp. (Reviewer: Christopher P. Bendel) 17B50 (17B30 17B70)
Publication Year 2022
Indexed 2022-12-09
Review Published2023-05-08
MR4473861
Reviewed
Ou, Ke; Shu, Bin; Yao, Yu Feng On Chevalley restriction theorem for semi-reductive algebraic groups and its applications.
Acta Math. Sin. (Engl. Ser.) 38 (2022), no. 8, 1421–1435. (Reviewer: Willem Adriaan de Graaf) 20G15 (17B10 17B45 20G05 20G07)
Publication Year 2022
Indexed 2022-11-04
Review Published2023-06-28
MR4438330
Reviewed
Shu, Bin; Zeng, Yang Centers and Azumaya loci for finite $W$-algebras in positive characteristic.
Math. Proc. Cambridge Philos. Soc. 173 (2022), no. 1, 35–66. (Reviewer: Christopher P. Bendel) 17B50 (16S99 17B05 17B08)
Publication Year 2022
Indexed 2022-08-29
Review Published2023-01-30
MR4436480
Reviewed
Liu, Bin; Shu, Bin; Wen, Xin Irreducible modules of $\mathfrak{sl}_{mp}$ in characteristic $p$ with regular or subregular nilpotent $p$-characters.
J. Algebra 608 (2022), 52–76. (Reviewer: Oihana Garaialde Ocaña) 17B50 (17B10)
Publication Year 2022
Indexed 2022-08-30
Review Published2022-10-19
MR4162295
Reviewed
Duan, Fei-Fei; Shu, Bin; Yao, Yu-Feng The category $\mathcal O$ for Lie algebras of vector fields (I): Tilting modules and character formulas.
Publ. Res. Inst. Math. Sci. 56 (2020), no. 4, 743–760. (Reviewer: Serge M. Skryabin) 17B66 (17B10 17B70)
Publication Year 2020
Indexed 2020-12-07
Review Published2021-07-26
MR4145698
Reviewed
Duan, Fei Fei; Shu, Bin; Yao, Yu Feng On blocks in restricted representations of Lie superalgebras of Cartan type.
Acta Math. Sin. (Engl. Ser.) 36 (2020), no. 9, 1061–1075. 17B10 (17B50 17B66 17B70)
Publication Year 2020
Indexed 2021-12-22
Review Published2023-02-07
MR4134868
Reviewed
Li, Yi-Yang; Shu, Bin; Yao, Yu-Feng A criterion for irreducibility of parabolic baby Verma modules of reductive Lie algebras.
J. Algebra 563 (2020), 111–147. (Reviewer: Charles H. Conley) 17B10 (17B20 17B35 17B45 17B50)
Publication Year 2020
Indexed 2020-10-15
Review Published2021-09-22
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