Zhanqiang Bai

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All published works

Action	Title	Year	Authors
+	On the cells and associated varieties of highest weight Harish-Chandra modules	2025	Zhanqiang Bai Yixin Bao Liang Zhao Xun Xie
+	A characterization of socular highest weight modules and Richardson orbits of classical types	2024	Zhanqiang Bai Shaoyi Zhang
+ PDF Chat	Associated varieties of minimal highest weight modules	2024	Zhanqiang Bai Jia-Jun Ma Wei Xiao Xun Xie
+ PDF Chat	A characterization of unitarity of some highest weight Harish-Chandra modules	2024	Zhanqiang Bai Markus Hunziker
+ PDF Chat	On the annihilator variety of a highest weight Harish-Chandra module	2024	Zhanqiang Bai Jing Jiang
+	Irreducible Representations of GLn(ℂ) of Minimal Gelfand–Kirillov Dimension	2024	Zhanqiang Bai Yang Yang Chen Dong Wen Liu Bin Yong Sun
+	Gelfand–Kirillov Dimension and Reducibility of Scalar Generalized Verma Modules for Classical Lie Algebras	2024	Zhanqiang Bai Jing Jiang
+ PDF Chat	On the associated variety of a highest weight Harish-Chandra module	2024	Zhanqiang Bai Markus Hunziker Xun Xie Roger Zierau
+	An explicit characterization of socular simple modules of $\mathfrak{sl}(n,\mathbb{C})$	2023	Zhanqiang Bai Wei Xiao Xun Xie
+	Quantum PT-Phase Diagram in a Non-Hermitian Photonic Structure	2023	Xinchen Zhang Yun Ma Qi Liu Yali Jia Qi Zhang Zhanqiang Bai Junxiang Zhang Qihuang Gong Ying Gu
+	A combinatorial characterization of the annihilator varieties of highest weight modules for classical Lie algebras	2023	Zhanqiang Bai Jiajun Ma Yutong Wang
+	A characterization of socular highest weight modules and Richardson orbits of classical types	2023	Zhanqiang Bai Shaoyi Zhang
+	On the reducibility of scalar generalized Verma modules associated to two-step nilpotent parabolic subalgebras	2023	Zhanqiang Bai Zhaojun Wang
+	Irreducible representations of $\textrm{GL}_n(\mathbb{C})$ of minimal Gelfand-Kirillov dimension	2023	Zhanqiang Bai Yang‐Yang Chen Dongwen Liu Binyong Sun
+ PDF Chat	Gelfand–Kirillov Dimensions and Associated Varieties of Highest Weight Modules	2022	Zhanqiang Bai Wei Xiao Xun Xie
+	A classification of Kazhdan-Lusztig right cells containing smooth elements	2022	Zhanqiang Bai Zheng-an Chen
+	Gelfand-Kirillov dimensions and Reducibility of scalar type generalized Verma modules for classical Lie algebras	2022	Zhanqiang Bai Jing Jiang
+	Reducibility of generalized Verma modules for Hermitian symmetric pairs	2020	Zhanqiang Bai Wei Xiao
+	Gelfand-Kirillov dimensions of simple highest weight modules for types BCD	2020	Zhanqiang Bai Xun Xie
+	Gelfand-Kirillov dimensions and associated varieties of highest weight modules	2020	Zhanqiang Bai Wei Xiao Xun Xie
+	Gelfand-Kirillov Dimension and Reducibility of Scalar Generalized Verma Modules	2019	Zhanqiang Bai Wei Xiao
+	A characterization of some highest weight modules for type A with irreducible associated varieties	2019	Zhanqiang Bai Yixin Bao Xun Xie
+	A classification of minimal highest weight modules	2019	Zhanqiang Bai Wei Xiao Xun Xie
+	Gelfand–Kirillov Dimensions of Highest Weight Harish-Chandra Modules for $\boldsymbol{{SU}(p,q)}$	2017	Zhanqiang Bai Xun Xie
+	Gelfand-Kirillov dimensions of the <i>ℤ</i>-graded oscillator representations of <i>𝔬</i>(<i>n</i>,<i>ℂ</i>) and <i>𝔰𝔭</i>(2<i>n</i>,<i>ℂ</i>)	2017	Zhanqiang Bai
+	Gelfand-Kirillov Dimensions of Highest Weight Harish-Chandra Modules for $SU(p,q)$	2017	Zhanqiang Bai Xun Xie
+ PDF Chat	Particle motion in generalized Dirac’s monopoles of dimension 2<i>k</i> + 1	2016	Zhanqiang Bai
+	Gelfand-Kirillov dimensions of the ℤ2-graded oscillator representations of $$\mathfrak{s}\mathfrak{l}$$ (n)	2015	Zhanqiang Bai
+	The Gelfand-Kirillov dimension of a unitary highest weight module	2015	Zhanqiang Bai Markus Hunziker
+	Gelfand-Kirillov Dimensions of the Z-graded Oscillator Representations of $\mathfrak{o}(n,\mathbb{C})$ and $\mathfrak{sp}(2n,\mathbb{C})$	2015	Zhanqiang Bai
+	Gelfand-Kirillov dimensions of the $Z^2$-graded oscillator representations of sl(n)	2015	Zhanqiang Bai
+	On the orbits of magnetized Kepler problems in dimension <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mn>2</mml:mn><mml:mi>k</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>	2013	Zhanqiang Bai Guowu Meng Erxiao Wang
+ PDF Chat	A characterization of the unitary highest weight modules by Euclidean Jordan algebras	2013	Zhanqiang Bai
+	A characterization of the unitary highest weight modules with minimal Gelfand-Kirillov dimension for tube type Hermitian symmetric pairs	2012	Zhanqiang Bai
+	A characterization of the unitary highest weight modules with minimal Gelfand-Kirillov dimension	2012	Zhanqiang Bai
+	A characterization of the unitary highest weight modules by Euclidean Jordan algebras	2012	Zhanqiang Bai

Common Coauthors

Coauthor	Papers Together
Xun Xie	10
Wei Xiao	6
Markus Hunziker	2
Jing Jiang	2
Yixin Bao	2
Erxiao Wang	1
Liang Zhao	1
Jiajun Ma	1
Yali Jia	1
Qihuang Gong	1
Shaoyi Zhang	1
Qi Zhang	1
Zhaojun Wang	1
Wei Xiao	1
Junxiang Zhang	1
Yutong Wang	1
Qi Liu	1
Yun Ma	1
Yang‐Yang Chen	1
Binyong Sun	1
Xun Xie	1
Jing Jiang	1
Shaoyi Zhang	1
Ying Gu	1
Liang Zhao	1
Jia-Jun Ma	1
Yang Yang Chen	1
Bin Yong Sun	1
Markus Hunziker	1
Roger Zierau	1
Xinchen Zhang	1
Dongwen Liu	1
Zheng-an Chen	1
Guowu Meng	1
Dong Wen Liu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Gelfand-Kirillov dimension for Harish-Chandra modules	1978	David A. Vogan	16
+	The Gelfand-Kirillov dimension of a unitary highest weight module	2015	Zhanqiang Bai Markus Hunziker	11
+	Associated Varieties and Unipotent Representations	1991	David A. Vogan	10
+	Gelfand-Kirillov Dimension for the Annihilators of Simple Quotients of Verma Modules	1978	Anjali Joseph	10
+	A Classification of Unitary Highest Weight Modules	1983	Thomas J. Enright Roger Howe Nolan R. Wallach	9
+ PDF Chat	Hilbert series, Howe duality and branching for classical groups	2004	Thomas J. Enright Jeb F. Willenbring	7
+	The Annihilators of Irreducible Harish-Chandra Modules for SU(p,q) and Other Type A n-1 Groups	1993	Devra Garfinkle	6
+	Hermitian symmetric spaces and their unitary highest weight modules	1983	Hans Plesner Jakobsen	6
+	On the variety of a highest weight module	1984	Anthony Joseph	6
+	�ber die Gelfand-Kirillov-Dimension	1976	Walter Borho Hanspeter Kraft	6
+	Gelfand-Kirillov Dimensions of Highest Weight Harish-Chandra Modules for $SU(p,q)$	2017	Zhanqiang Bai Xun Xie	6
+	Differential operators on homogeneous spaces. III	1985	Walter Borho Jean-Luc Brylinski	6
+	Gelfand–Kirillov Dimensions of Highest Weight Harish-Chandra Modules for $\boldsymbol{{SU}(p,q)}$	2017	Zhanqiang Bai Xun Xie	6
+	Representations of Coxeter groups and Hecke algebras	1979	David Kazhdan G. Lusztig	6
+ PDF Chat	CHARACTERISTIC CYCLES OF HIGHEST WEIGHT HARISH-CHANDRA MODULES FOR Sp(2n,R)	2017	L. Barchini Roger Zierau	5
+	Primitive ideals and orbital integrals in complex classical groups	1982	Dan Barbasch David A. Vogan	5
+ PDF Chat	Annihilators and associated varieties of unitary highest weight modules	1992	Anthony Joseph	5
+ PDF Chat	Characteristic Varieties of Highest Weight Modules and Primitive Quotients	2018	Toshiyuki Tanisaki	5
+	A triangularity result for associated varieties of highest weight modules	2000	William M. McGovern	5
+	ℤ<sup>2</sup>-Graded Oscillator Representations of<i>sl</i>(<i>n</i>)	2013	Cuiling Luo Xiaoping Xu	4
+ PDF Chat	MICZ-Kepler problems in all dimensions	2007	Guowu Meng	4
+	Singular unitary representations	1981	David A. Vogan	4
+ PDF Chat	Dimension of a minimal nilpotent orbit	1999	Weiqiang Wang	4
+ PDF Chat	Dirac and Yang monopoles revisited	2007	Guowu Meng	4
+ PDF Chat	Euclidean Jordan algebras, hidden actions, and J-Kepler problems	2011	Guowu Meng	4
+	An intrinsic analysis of unitarizable highest weight modules	1990	Thomas J. Enright Anthony Joseph	4
+ PDF Chat	Classification of irreducible weight modules	2000	Olivier Mathieu	4
+	Representations of Semisimple Lie Algebras in the BGG Category O	2008	James E. Humphreys	4
+	Modules with bounded weight multiplicities for simple Lie algebras	1997	Georgia Benkart D. J. Britten Frank Lemire	4
+	Robinson-Schensted Correspondence and Left Cells	2018	Susumu Ariki	3
+ PDF Chat	The homomorphisms between scalar generalized Verma modules associated to maximal parabolic subalgebras	2005	Hisayosi Matumoto	3
+	On the reducibility of scalar generalized Verma modules associated to maximal parabolic subalgebras	2019	Haian He Toshihisa Kubo Roger Zierau	3
+	Resolutions and Hilbert series of determinantal varieties and unitary highest weight modules	2003	Thomas J. Enright Markus Hunziker	3
+	Bernstein degree and associated cycles of Harish-Chandra modules – Hermitian symmetric case	2018	Kyo Nishiyama Hiroyuki Ochiai Kenji Taniguchi	3
+	Growth of Algebras and Gelfand-Kirillov Dimension	1999	Günter Krause T. H. Lenagan	3
+	Gelfand-Kirillov Dimension and Reducibility of Scalar Generalized Verma Modules	2019	Zhanqiang Bai Wei Xiao	3
+	Lowest weight modules of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Sp</mml:mi><mml:mrow><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>˜</mml:mo></mml:mover></mml:math> of minimal Gelfand–Kirillov dimension	2007	Binyong Sun	3
+	On the classification of primitive ideals for complex classical Lie algebras, I	1990	Devra Garfinkle	3
+	Primitive ideals and orbital integrals in complex exceptional groups	1983	Dan Barbasch David A. Vogan	3
+	The Two-Sided Cells of the Affine Weyl Group of Type Ãn	1985	G. Lusztig	3
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason	3
+ PDF Chat	Cells in Affine Weyl Groups	2018	G. Lusztig	3
+	Poincaré series of holomorphic representations	1996	Eng-Chye Tan Chen-Bo Zhu	3
+	Lie Groups Beyond an Introduction	1996	Anthony W. Knapp	3
+	Resolutions and Hilbert series of the unitary highest weight modules of the exceptional groups	2004	Thomas J. Enright Markus Hunziker	3
+	Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren	1977	Jens Carsten Jantzen	3
+	The last possible place of unitarity for certain highest weight modules	1981	Hans Plesner Jakobsen	3
+	Leading weight vectors and homomorphisms between generalized Verma modules	2015	Wei Xiao	3
+	Exactly Soluble Nonrelativistic Model of Particles with Both Electric and Magnetic Charges	1968	Daniel Zwanziger	3
+	Goldie rank in the enveloping algebra of a semisimple Lie algebra, I	1980	Anjali Joseph	3