Zobrazeno 1 - 10
of 13
pro vyhledávání: '"KAYUE DANIEL WONG"'
Autor:
Chao-Ping Dong, Kayue Daniel Wong
Publikováno v:
Journal of Algebra. 603:1-37
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bc41ed2115abff07d4ea3bcb983a879b
https://doi.org/10.1016/j.jalgebra.2022.03.028
https://doi.org/10.1016/j.jalgebra.2022.03.028
Autor:
Kayue Daniel Wong, Chao-Ping Dong
Publikováno v:
International Mathematics Research Notices. 2022:10431-10457
This paper studies scattered representations of $G = SO(2n+1, \mathbb{C})$, $Sp(2n, \mathbb{C})$ and $SO(2n, \mathbb{C})$, which lies in the `core' of the unitary spectrum $G$ with nonzero Dirac cohomology. We describe the Zhelobenko parameters of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d082a5e839d551a444edad09c87c4df3
https://doi.org/10.1093/imrn/rnaa388
https://doi.org/10.1093/imrn/rnaa388
Autor:
Chao-Ping Dong, Kayue Daniel Wong
Publikováno v:
International Mathematics Research Notices.
The unitary dual of $GL(n, {\mathbb {R}})$ was classified by Vogan in the 1980s. In particular, the Speh representations and the special unipotent representations are the building blocks of the unitary dual with half-integral infinitesimal characters
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fbaa220367239fbbb168a632ca648e9a
https://doi.org/10.1093/imrn/rnac150
https://doi.org/10.1093/imrn/rnac150
Autor:
Kayue Daniel Wong, Chao-Ping Dong
Publikováno v:
Pacific Journal of Mathematics. 309:289-312
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f17c0c28eb7dbc35fc58905ff112d7f
https://doi.org/10.2140/pjm.2020.309.289
https://doi.org/10.2140/pjm.2020.309.289
Autor:
Chao-Ping Dong, Kayue Daniel Wong
This paper classifies the Dirac series for complex $E_7$. As applications, we verify a few conjectures raised in 2011, 2019 and 2020 for this exceptional Lie group. In particular, according to Conjecture 1.1 of Barbasch and Pandzic [BP], our classifi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a8ce8fa7ee6e109d3a191145d7eac67
http://arxiv.org/abs/2110.00694
http://arxiv.org/abs/2110.00694
This paper computes the Dirac cohomology $H_D(\pi)$ of irreducible unitary Harish-Chandra modules $\pi$ of complex classical groups viewed as real reductive groups. More precisely, unitary representations with nonzero Dirac cohomology are shown to be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::765763c7b17e7bae2f35edcee472fa04
http://arxiv.org/abs/2010.01584
http://arxiv.org/abs/2010.01584
Autor:
Kayue Daniel Wong, Chao-Ping Dong
This paper computes the Dirac index of all the weakly fair $A_{\mathfrak{q}}(\lambda)$ modules of $U(p, q)$. Although counter-examples have been found to a conjecture of Vogan on the unitary dual of $U(p, q)$ phrased by Trapa in 2001, we believe that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b2ca6b53d95d7fa5a23912694933b85
http://arxiv.org/abs/2003.07165
http://arxiv.org/abs/2003.07165
Autor:
Jing Song Huang, Kayue Daniel Wong
Publikováno v:
Transformation Groups. 23:75-99
We define Lie algebra cohomology associated with the half-Dirac operators for representations of rational Cherednik algebras and show that it has property described in the Casselman–Osborne Theorem by establishing a version of the Vogan's conjectur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e42c3868764fa1ae53e1efdbdf3667a
https://doi.org/10.1007/s00031-017-9441-x
https://doi.org/10.1007/s00031-017-9441-x
Autor:
Kayue Daniel Wong
Publikováno v:
Journal of Algebra. 487:317-339
In this manuscript, we compute explicitly the Lusztig–Vogan bijection for local systems of some classical, special, nilpotent orbits. Using these results, we prove a conjecture of Achar and Sommers on regular functions of some covers of classical n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9da413c4ca4cdefa612f15e8cec42608
https://doi.org/10.1016/j.jalgebra.2017.04.031
https://doi.org/10.1016/j.jalgebra.2017.04.031
Autor:
KAYUE DANIEL WONG1 makywong@ust.hk
Publikováno v:
Representation Theory. 12/17/2015, Vol. 19 Issue 15, p333-346. 14p.