20 citations · 56 across the 18 of their papers we have counts for
18 papers
A characterization of socular highest weight modules and Richardson orbits of classical types
Zhanqiang Bai, Shaoyi Zhang
Let be a simple complex Lie algebra of classical type with a Cartan subalgebra . We fix a standard parabolic subalgebra $\mathfrak{p}\supset \mathfrak{…
On the annihilator variety of a highest weight module for classical Lie algebras
Zhanqiang Bai, Jia-Jun Ma, Yutong Wang
Let be a classical complex simple Lie algebra. Let be a highest weight module of with highest weight , where is half the sum of positi…
Gelfand-Kirillov dimensions and Reducibility of scalar type generalized Verma modules for classical Lie algebras
Zhanqiang Bai, Jing Jiang
Let be a classial Lie algebra and be a maximal parabolic subalgebra. Let be a generalized Verma module induced from a one dimensional representati…
A characterization of Kazhdan-Lusztig right cells containing smooth elements
Zhanqiang Bai, Zheng-an Chen
Let be the Lie algebra . Its Weyl group is the symmetric group . In this paper, we want to describe some Kazhdan-Lusztig right cell…
Identifying the QCD Phase Transitions via the Gravitational Wave Frequency from Supernova Explosion
Zhan Bai, Wei-jie Fu, Yu-xin Liu
We investigate the non-radial oscillations of newly born neutron stars (NSs) and strange quark stars (SQSs). This is done with the relativistic nuclear field theory with hyperon de…
New insight on the quark condensate beyond chiral limit
Ling-feng Chen, Zhan Bai, Fei Gao +1
With analyzing the mass function obtained by solving Dyson-Schwinger Equations, we propose a cut-off independent definition of quark condensate beyond chiral limit. With this well-…
QCD phase transition and equation of state of stellar strong interaction matter via Dyson-Schwinger equation approach
Zhan Bai, Yu-xin Liu
We study the phase structure and phase transition of cold dense QCD matter via the Dyson-Schwinger equation approach. We take the rainbow approximation and the Gaussian-type gluon…
Mass-dependence of pseudocritical temperature in mean field approximation
Zhan Bai, Lei Chang, Jingyi Chao +2
We restrict our computation in the mean field approximation which could lead to a clear critical behavior. We analyze the scaling behavior with different shape of interaction kerne…
Gelfand-Kirillov dimensions and associated varieties of highest weight modules
Zhanqiang Bai, Wei Xiao, Xun Xie
In this paper, we present a uniform formula of Lusztig's -functions on classical Weyl groups. Then we obtain an efficient algorithm for the Gelfand-Kirillov dimensions…
Associated varieties of minimal highest weight modules
Zhanqiang Bai, Jia-Jun Ma, Wei Xiao +1
Let be a complex simple Lie algebra. A simple -module is called minimal if the associated variety of its annihilator ideal coincides with the closure o…
Constraining the Hadron-Quark Phase Transition Chemical Potential via Astronomical Observation
Zhan Bai, Yu-xin Liu
We investigate the chemical potential and baryon number density of the hadron-quark phase transition in neutron star matter. The hadron matter is described with relativistic mean f…
Revisiting the Equation of State of Hybrid Stars in the Dyson-Schwinger Equation Approach to QCD
Zhan Bai, Huan Chen, Yu-xin Liu
We investigate the equation of state(EoS) and the effect of the hadron-quark phase transition of strong interaction matter in compact stars. The hadron matter is described with the…
Gelfand-Kirillov Dimensions of Highest Weight Harish-Chandra Modules for
Zhanqiang Bai, Xun Xie
Let be an irreducible Hermitian symmetric pair of non-compact type with , and let be an integral weight such that the simple highest weight module $ L(λ)…
Particle Motion in Generalized Dirac's Monopoles of dimension 2k+1
Zhanqiang Bai
By using Meng's idea in his generalization of the classical MICZ-Kepler problem, we obtained the equations of motion of a charged particle in the field of generalized Dirac monopol…
Gelfand-Kirillov Dimensions of the Z-graded Oscillator Representations of and
Zhanqiang Bai
In this paper, we compute the Gelfand-Kirillov dimensions for the infinite-dimensional explicit irreducible -modules and $\mathfrak{sp}(2n, \mathbb{C})…
Gelfand-Kirillov dimensions of the -graded oscillator representations of sl(n)
Zhanqiang Bai
We find an exact formula of Gelfand-Kirillov dimensions for the infinite-dimensional explicit irreducible sl(n, F)-modules that appeared in the Z^2-graded oscillator generalization…
On the Orbits of the Magnetized Kepler Problems in Dimension 2k+1
Zhanqiang Bai, Guowu Meng, Erxiao Wang
It is demonstrated that, for the recently introduced classical magnetized Kepler problems in dimension , the non-colliding orbits in the "external configuration space" $\math…
A characterization of the unitary highest weight modules by Euclidean Jordan algebras
Zhanqiang Bai
Let be the conformal algebra of a simple Euclidean Jordan algebra . We show that a (non-trivial) unitary highest weight -module has the smal…