Zobrazeno 1 - 10
of 132
pro vyhledávání: '"Liu, Dongwen"'
In this article, by studying the Bernstein degrees and Goldie rank polynomials, we establish a comparison between the irreducible representations of $G=\textrm{GL}_n(\mathbb{C})$ possessing the minimal Gelfand-Kirillov dimension and those induced fro
Externí odkaz:
http://arxiv.org/abs/2311.06619
Let $G$ be a classical group defined over a local field $F$ of characteristic zero. For any irreducible admissible representation $\pi$ of $G(F)$, which is of Casselman-Wallach type if $F$ is archimedean, we extend the study of spectral decomposition
Externí odkaz:
http://arxiv.org/abs/2309.12430
Let $A$ be a symmetrizable generalized Cartan matrix with corresponding Kac--Moody algebra $\frak{g}$ over ${\mathbb Q}$. Let $V=V^{\lambda}$ be an integrable highest weight $\frak{g}$-module and let $V_{\mathbb Z}=V^{\lambda}_{\mathbb Z}$ be a ${\ma
Externí odkaz:
http://arxiv.org/abs/2210.01644
In this paper, we deduce explicit multiplicity formulas of the Fourier-Jacobi model for Deligne-Lusztig characters of finite symplectic groups, unitary groups, and general linear groups. We then apply these results to deduce the explicit depth zero l
Externí odkaz:
http://arxiv.org/abs/2208.02308
Let $G$ be a classical group defined over a local field $F$ of characteristic zero. Let $\pi$ be an irreducible admissible representation $\pi$ of $G(F)$, which is of Casselman-Wallach type if $F$ is archimedean. If $\pi$ has a generic local $L$-para
Externí odkaz:
http://arxiv.org/abs/2207.04700
We establish everywhere convergence in a natural domain for Eisenstein series on a symmetrizable Kac--Moody group over a function field. Our method is different from that of the affine case which does not directly generalize. In comparison with the a
Externí odkaz:
http://arxiv.org/abs/2203.08628
Let $\mathsf k$ be a local field. Let $I_\nu$ and $I_{\nu'}$ be smooth principal series representations of $\mathrm{GL}_n(\mathsf k)$ and $\mathrm{GL}_{n-1}(\mathsf k)$ respectively. The Rankin-Selberg integrals yield a continuous bilinear map $I_\nu
Externí odkaz:
http://arxiv.org/abs/2109.05272
We formulate and prove the archimedean period relations for Rankin-Selberg convolutions for $\mathrm{GL}(n)\times \mathrm{GL}(n-1)$. As a consequence, we prove the period relations for critical values of the Rankin-Selberg L-functions for $\mathrm{GL
Externí odkaz:
http://arxiv.org/abs/2109.05273
We prove that the local Rankin--Selberg integrals for principal series representations of the general linear groups agree with certain simple integrals over the Rankin--Selberg subgroups, up to certain constants given by the local gamma factors.
Externí odkaz:
http://arxiv.org/abs/2109.05271
Autor:
Zhang, Bairong, Liang, Jiaxin, Fan, Huana, Lei, Kaijun, Li, Huaiguo, Liu, Dongwen, Zheng, Fanghao, He, Mingfeng, Chen, Yanfen
Publikováno v:
In Journal of Ethnopharmacology 6 April 2024 323