黄家裕
助理教授
博士(康奈尔大学)
硕士(牛津大学华顿学院)
黄家裕现于香港中文大学(深圳)任职助理教授。他在2003年取得李兆基奖学金,在英国牛津大学华顿学院取得数学硕士学位,其后于美国康奈尔大学获得博士学位。他的研究方向为李群及李代数的表示论,以及它们跟量子化的关系。
1. (with C.P. Dong) Dirac Series of GL(n,R), International Mathematics Research Notices IMRN, to appear
2. (with C.P. Dong) Dirac series for complex E7, Forum Mathematicum, to appear
3. (with C.P. Dong) Scattered Representations of Complex Classical Lie Groups, International Mathematics Research Notices IMRN, to appear
4. (with C.P. Dong) Dirac index of some unitary representations of Sp(2n,R) and SO*(2n), Journal of Algebra 603 (2022), 1 - 37
5. (with D. Barbasch and C.P. Dong) Dirac series for complex classical Lie groups: A multiplicity-one theorem, Advances in Mathematics 403 (2022), 108370
6. (with C.P. Dong) On the Dirac Series of U(p,q), Mathematische Zeitschrift 298 (2021), 839 - 859
7. (with C.P. Dong) Scattered Representations of SL(n,C), Pacific Journal of Mathematics 309 (2020), No. 2, 289 - 312
8. (with J-S. Huang) A Casselman-Osborne Theorem for Rational Cherednik Algebras, Transformation Groups 23(1) (2018), 75 - 99
9. Some Calculations of the Lusztig-Vogan bijection for Classical Nilpotent Orbits, Journal of Algebra 487 (2017), 317 - 339
10. On Quantization of a Nilpotent Orbit Closure in G2, Proceedings of the American Mathematical Society 144 (2016), 5097 - 5102
11. Quantization of Special Symplectic Nilpotent Orbits and Normality of their Closures, Journal of Algebra 462 (2016), 37 - 53
12. Regular Functions of Symplectic Spherical Nilpotent Orbits and their Quantizations, Representation Theory 19 (2015), 333 -346