Research

Algebra and Geometry

DATEDecember 31, 2022
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Research Interests

Algebra, Geometry,Topology and Number Theory

Publications:

1. 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.

2. Fan, Zhaobing; Li, Yiqiang Positivity of canonical bases under comultiplication. Int. Math. Res. Not. IMRN 2021, no. 9, 6871–6931.

3. Sean,Clark; Fan, Zhaobing; Li, Yiqiang ; Wang,WeiqiangQuantum supergroups III. Twistors, Comm. Math. Phys., 332 (2014), 415-436.

4. Dong, Junbin; Yang, Gao Geck's conjecture and the generalized Gelfand-Graev representations in bad characteristic. Adv. Math. 377 (2021), No.107482,42 pp

5. Fan, Zhaobing; Li, Yiqiang Geometric Schur-Weyl duality of classical type II, Trans. Amer. Math. Soc, Series B. 2 (2015), 51-92.

6. Fan, Zhaobing; Kang, Seok-Jin; Kim, Young Rock; Tong, Bolun Global bases for quantum Borcherds-Bozec algebras. Math. Z. 301 (2022), no. 4, 3727–3753.

7. Fan, Zhaobing; Kang, Seok-Jin; Kim, Young Rock; Tong, Bolun Abstract crystals for quantum Borcherds-Bozec algebras. J. Lond. Math. Soc. (2) 104 (2021), no. 2, 803–822.

8. 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.

9. Fan, Zhaobing; Kang, Seok-Jin; Kim, Young Rock; Tong, Bolun Classical limit of quantum Borcherds-Bozec algebras. J. Pure Appl. Algebra 225 (2021), no. 2, Paper No. 106502, 19 pp.

10. Fan, Zhaobing; Ma, Haitao; Xiao, Husileng Equivariant K-theory approach to ı-quantum groups. Publ. Res. Inst. Math. Sci. 58 (2022), no. 3, 635–668.

11. Shu,Bin; Xiao, Husileng Super formal Darboux-Weinstein theorem and finite W superalgebras,J. Algebra 550(2020), 242-265.

Contact

Husileng Xiao

Email:hslxiao@hrbeu.edu.cn