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pro vyhledávání: '"Bai, Zhanqiang"'
Autor:
Bai, Zhanqiang, Hunziker, Markus
Let $L(\lambda)$ be a highest weight Harish-Chandra module with highest weight $\lambda$. When the associated variety of $L(\lambda)$ is not maximal, that is, not equal to the nilradical of the corresponding parabolic subalgebra, we prove that the un
Externí odkaz:
http://arxiv.org/abs/2409.16555
Autor:
Bai, Zhanqiang, Jiang, Jing
Let $G$ be a Hermitian type Lie group with maximal compact subgroup $K$. Let $L(\lambda)$ be a highest weight Harish-Chandra module of $G$ with the infinitesimal character $\lambda$. By using some combinatorial algorithm, we obtain a description of t
Externí odkaz:
http://arxiv.org/abs/2408.07951
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 $\mathfrak{g}$ be a simple complex Lie algebra.A generalized Verma module induced from a one-dimensional representation of a parabolic subalgebra of $\mathfrak{g}$ is called a scalar generalized Verma module of $\mathfrak{g}$. In this article, we
Externí odkaz:
http://arxiv.org/abs/2310.07415
Autor:
Bai, Zhanqiang, Zhang, Shaoyi
Let $\mathfrak{g}$ be a simple complex Lie algebra of classical type with a Cartan subalgebra $\mathfrak{h}$. We fix a standard parabolic subalgebra $\mathfrak{p}\supset \mathfrak{h}$. The socular simple modules are just those highest weight modules
Externí odkaz:
http://arxiv.org/abs/2305.06059
Let $\mathfrak{g}$ be a classical complex simple Lie algebra. Let $L(\lambda)$ be a highest weight module of $\mathfrak{g}$ with highest weight $\lambda-\rho$, where $\rho$ is half the sum of positive roots. The associated variety of the annihilator
Externí odkaz:
http://arxiv.org/abs/2304.03475
Autor:
Zhang, Xinchen, Ma, Yun, Liu, Qi, Wang, Nuo, Jia, Yali, Zhang, Qi, Bai, Zhanqiang, Zhang, Junxiang, Gong, Qihuang, Gu, Ying
Photonic structures have an inherent advantage to realize PT-phase transition through modulating the refractive index or gain-loss. However, quantum PT properties of these photonic systems have not been comprehensively studied yet. Here, in a bi-phot
Externí odkaz:
http://arxiv.org/abs/2303.00189
Let $\mathfrak{g}$ be a simple complex Lie algebra with a Cartan subalgebra $\mathfrak{h}$. We fix a standard parabolic subalgebra $\mathfrak{p}\supset \mathfrak{h}$. The socular simple modules play an important role in the parabolic versions of cate
Externí odkaz:
http://arxiv.org/abs/2301.05422
Publikováno v:
Representation Theory. 11/12/2024, Vol. 28, p498-513. 16p.
Autor:
Bai, Zhanqiang, Jiang, Jing
Let $\mathfrak{g}$ be a classial Lie algebra and $\mathfrak{p}$ be a maximal parabolic subalgebra. Let $M$ be a generalized Verma module induced from a one dimensional representation of $\mathfrak{p}$. Such $M$ is called a scalar type generalized Ver
Externí odkaz:
http://arxiv.org/abs/2205.05362