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pro vyhledávání: '"Cai, Yuanqing"'
Autor:
Cai, Yuanqing
For a central division algebra $D$, we study a family of representations of $\mathrm{GL}_{k,D}$ (both locally and globally), which can be viewed as analogues of the Speh representations. Locally, we study unique models for these representations. Glob
Externí odkaz:
http://arxiv.org/abs/2112.06208
One of the key ingredients in the recent construction of the generalized doubling method is a new class of models, called $(k,c)$ models, for local components of generalized Speh representations. We construct a family of $(k,c)$ representations, in a
Externí odkaz:
http://arxiv.org/abs/2109.11309
Autor:
Cai, Yuanqing, Chen, Yi, Zhang, Guangyang, Lin, Yi, Zhang, Jianan, Liang, Jialin, Lv, Leifeng, Wang, Yong, Fang, Xinyu, Dang, Xiaoqian
Publikováno v:
In iScience 16 February 2024 27(2)
Autor:
Cai, Yuanqing
We explain how to develop the twisted doubling integrals for Brylinski-Deligne extensions of connected classical groups. This gives a family of global integrals which represent Euler products for this class of non-linear extensions.
Comment: To
Comment: To
Externí odkaz:
http://arxiv.org/abs/1912.08068
Broadband spectrum characteristics and radiative effects of primary brown carbon from wood pyrolysis
Autor:
Liu, Qianqian, Xu, Xuezhe, Zhao, Weixiong, Zhou, Jiacheng, Rahman, Md Masudur, Cai, Yuanqing, Wang, Shuo, Fang, Bo, Zhang, Weijun
Publikováno v:
In Science of the Total Environment 15 July 2023 882
Autor:
Cai, Yuanqing
Publikováno v:
Math. Z. 297 (2021), pp. 1075-1104
We describe the twisted doubling integrals of Cai-Friedberg-Ginzburg-Kaplan in a conceptual way. This also extends the construction to the quaternionic unitary groups. We carry out the unfolding argument uniformly in this article. To do so, we define
Externí odkaz:
http://arxiv.org/abs/1908.10298
Autor:
Cai, Yuanqing
Publikováno v:
Forum Math., 32 (2020), pp. 207-233
For a Brylinski-Deligne covering group of a general linear group, we calculate some values of unramified Whittaker functions for certain representations that are analogous to the theta representations.
Comment: arXiv admin note: text overlap wit
Comment: arXiv admin note: text overlap wit
Externí odkaz:
http://arxiv.org/abs/1904.12594
Autor:
Cai, Yuanqing
Thesis advisor: Solomon Friedberg
Kazhdan and Patterson constructed generalized theta representations on covers of general linear groups as multi-residues of the Borel Eisenstein series. For the double covers, these representations and their (de
Kazhdan and Patterson constructed generalized theta representations on covers of general linear groups as multi-residues of the Borel Eisenstein series. For the double covers, these representations and their (de
Externí odkaz:
http://hdl.handle.net/2345/bc-ir:107492
Publikováno v:
Journal of Enterprise Information Management, 2022, Vol. 35, Issue 4/5, pp. 1323-1347.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/JEIM-04-2021-0179
Autor:
Cai, Yuanqing
Publikováno v:
J. Number Theory 215 (2020), pp. 186-215
For a semisimple Lie algebra admitting a good enumeration, we prove a parametrization for the elements in its Weyl group. As an application, we give a coordinate-free comparison between the crystal graph description (when it is known) and the Lie-the
Externí odkaz:
http://arxiv.org/abs/1805.11552