职务/职称:副教授,
硕士生导师.
电子邮箱:haian AT shu.edu.cn
Homepage (in English): https://orcid.org/0000-0001-6673-6983
研究领域:
约化群的表示理论,
主要研究限制表示的离散分解性, 广义Verma模的可约性, 不可约酉表示的分类等问题.
教育经历:
香港科技大学 数学系 博士学位 (2014)
上海交通大学 数学与应用数学系 学士学位 (2009)
工作经历:
2022/03 - 今 上海大学理学院数学系 副教授
2016/12 - 2022/02 上海大学理学院数学系 讲师
2014/10 - 2016/11 北京大学北京国际数学研究中心 博士后
代表性科研项目:
1. 约化Lie群的限制表示的离散分解性 上海市自然科学基金面上项目 (2022) 主持
2. 克莱因四元对称对的分支问题 国家自然科学基金青年项目 (2019) 主持
代表性学术论文:
独立作者:
[1] Haian HE;
A necessary condition for discrete branching laws for Klein four symmetric
pairs; Journal of Algebra and Its Applications, Volume 22 (2023), Number
2, 2350039 (9 pages).
[2] Haian HE;
Discrete decomposability of restrictions of (ց, K)-modules for (G,
Gσ) with an automorphism σ of even order; Geometriae Dedicata,
Volume 215 (2021), Page 415–419.
[3] Haian HE;
Kobayashi’s conjecture on associated varieties for Klein four symmetric
pairs (E6(-14), Spin(8, 1)); Journal of Lie Theory, Volume
30 (2020), Number 3, Page 705–714.
[4] Haian HE;
A criterion for discrete branching laws for Klein four symmetric pairs
and its application to E6(-14); International Journal of
Mathematics, Volume 31 (2020), Number 6, 2050049 (15 pages).
[5] Haian HE;
Discretely decomposable restrictions of (ց, K)-modules for Klein four
symmetric pairs of exceptional Lie groups of Hermitian type; International
Journal of Mathematics, Volume 31 (2020), Number 1, 2050001 (12 pages).
[6] Haian HE;
Classification of Klein four symmetric pairs of holomorphic type for
E7(-25); Geometriae Dedicata, Volume 202 (2019), Page 153–164.
[7] Haian HE;
Classification of Klein four symmetric pairs of holomorphic type for
E6(-14); Geometriae Dedicata, Volume 197 (2018), Page 77–89.
[8] Haian HE;
On the reducibility of scalar generalized Verma modules of abelian type;
Algebras and Representation Theory, Volume 19 (2016), Number 1, Page
147–170.
[9] Haian HE;
Branching laws of parabolic Verma modules for non-symmetric polar pairs;
Journal of Lie Theory, Volume 24 (2014), Number 4, Page 1047–1066.
非独立作者:
[1]
Haian HE, Jing-Song HUANG, and Kayue Daniel WONG; Transfer of highest
weight modules and small unipotent representations; (to appear in) Acta
Mathematica Sinica, English Series.
[2] Yilian CHEN and Haian HE; On the discretely
decomposable restrictions of (ց, K)-modules for Klein four symmetric
pairs; International Journal of Mathematics, Volume 34 (2023), Number
1, 2250094 (16 pages).
[3] Lin-Gen DING, Chao-Ping DONG, and Haian
HE; Dirac series for E6(-14); Journal of Algebra, Volume
590 (2022), Page 168-201.
[4] Haian HE, Toshihisa KUBO, and Roger ZIERAU;
On the reducibility of scalar generalized Verma modules associated to
maximal parabolic subalgebras; Kyoto Journal of Mathematics, Volume
59 (2019), Number 4, Page 787-813.
学术兼职:
International Journal
of Mathematics, Journal of Algebra and its Applications等SCI期刊的审稿人, 美国数学会MathSciNet评论员.
最后更新日期:2023.10.23