侯自新
多年从事李群、李代数及齐性空间微分几何等方面的研究与教学工作。
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- 姓名:侯自新
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学术头衔:
博士生导师
- 职称:-
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学科领域:
数理逻辑与数学基础
- 研究兴趣:多年从事李群、李代数及齐性空间微分几何等方面的研究与教学工作。
侯自新,男,1941年出生于中国天津市。1967年南开大学数学系研究生毕业,南开大学数学教授。1995年起任南开大学校长。侯自新教授曾任南开大学数学系主任、校长助理、副校长、研究生院院长、中国数学学会副理事长。现兼任中国高等院校数学研究与高等人才培养中心主任、中国老教授协会副会长、天津市学位委员会副主任。他是九届、十届全国人民代表大会代表,天津市十四届人民代表大会常务委员会委员。侯自新教授多年从事李群、李代数及齐性空间微分几何等方面的研究与教学工作。研究解决了一些长期未能解决的数学问题,如:明确给出了实半单李代数的Weyl群的结构,完满地解决了这个长期未能解决的课题;对半单齐性流形上凯勒结构及仿凯勒结构问题,李群的表示理论等方面也做出重要贡献。已在《中国科学》、《Journal of Algebra》等国内外重要数学刊物上发表论文三十余篇。被美国及德国的“数学评论”聘为评论员。国家自然科学基金重点项目“李群及其表示理论”的项目负责人。已先后培养博士研究生、硕士研究生二十余人。侯自新教授于1990年、1998年先后获得国家教委(教育部)科技进步三等奖,2000年获天津市教学成果二等奖。2004年获加拿大蒙特利尔大学名誉博士学位。
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侯自新, 侯自新①, 梁科①, 白承铭②
科学通报,1999,44(1):32~36,-0001,():
-1年11月30日
Vogan利用θ2不变抛物子代数的上同调诱导方法给出了(g,K)模的无穷小等价分类。θ2不变抛物子代数在Ad K下的共轭分类在Vogan的分类法中起着重要作用,利用严志达先生的实半单李代数分类方法,由Dynkin图给出了θ2不变抛物子代数的Ad K共轭分类。
(, g,, K), 模,, θ2不变抛物子代数
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【期刊论文】UNITARY REPRESENTATIONS OF CLASSICAL LIE GROUPS OF EQUAL RANK WITH NONZERO DIRAC COHOMOLOGY
侯自新, Hou Zixin, Liang Ke, and Zhu Fuhai
PACIFIC JOURNAL OF MATHEMATICS Vol. 214, No.2, 2004,-0001,():
-1年11月30日
In this paper, we consider unitary representations of classical groups of equal rank (rankG=rankK) except type CI with regular lambda-lowest K-type and get the necessary and sufficient condition such that those unitary representations considered have nonzero Dirac cohomology.
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【期刊论文】The Ideal of Relations of a Ring of Highest Weight Vectors*
侯自新, Shaoqiang Deng, Zixin Hou
Algebra Colloquium 8:3(2001)275-284,-0001,():
-1年11月30日
We use the slice method and some computer algebra programs to determine the ideal of relations of the ring of highest weight vectors of the action of Om and GL3 on the algebra of complex polynomials on Cm'3 with m≥6.
rational representations,, slice method,, rings of highest weight vectors
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【期刊论文】THE GROUP OF ISOMETRIES OF A FINSLER SPACE
侯自新, Shaoqiang Deng, and Zixin Hou
PACIFIC JOURNAL OF MATHEMATICS Vol. 207, No.1, 2002,-0001,():
-1年11月30日
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【期刊论文】STABILITY OF CERTAIN RINGS OF HIGHEST WEIGHT VECTORS***
侯自新, DENG SHAOQIANG*, HOU ZIXIN**
Chin. Ann. of Math. 22B:1 (2001), 57-62.,-0001,():
-1年11月30日
The authors prove the stability of the rings of highest weight vectors of the action of On
Rational representations,, Maximal unipotent subgroups,, Rings of highest
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【期刊论文】On sheets of orbit covers for classical semisimple Lie groups
侯自新, LIANG Ke, HOU Zixin, & LU Linyuan
,-0001,():
-1年11月30日
Correspondence should be addressed to Liang Ke David Vogan gave programmatic conjectures about the Dixmier's map and he made two conjectures that induction may be independent of the choice of parabolic group used and the sheets of orbit data are conjugated or disjointed[1]. In our previous paper, we gave a geometric version of the parabolic induction of the geometric orbit datum (i.e. orbit covers), and proved Vogan's rst conjecture for geometric orbit datum: the parabolic induction of the geometric orbit datum is independent of the choice of parabolic group. In this paper, we will prove the other Vogan's conjecture, that is, the sheets are conjugated or disjointed for classical semisimple complex groups.
Lie group,, representation of Lie group,, Dixmier', s map,, geometric orbit data.,
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【期刊论文】Invariant Randers metrics on homogeneous Riemannian manifolds*
侯自新, Shaoqiang Deng, and Zixin Hou
J. Phys. A: Math. Gen. 37(2004)4353-4360,-0001,():
-1年11月30日
This paper studies Randers metrics on homogeneous Riemannian manifolds.It turns out that we can give a complete description of the invariant Randers metrics on a homogeneous Riemannian manifold as well as the geodesics, the flag curvatures. This result provides a convenient method to construct globally defined Berwald space which is neither Riemannian nor locally Minkowskian and gives another explanation of the example of Bao et al
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【期刊论文】Geometric orbit datum and orbit covers
侯自新, LIANG Ke, & HOU Zixin
SCIENCE IN CHINA (Series A), 2001, 44 (11): 1413~1419,-0001,():
-1年11月30日
Correspondence should be addressed to Liang Ke Vogan conjectured that the parabolic induction of orbit data is independent of the choice of the parabolic subgroup. In this paper we first give the parabolic induction of orbit covers, whose relationship with geometric orbit datum is also induced. Hence we show a geometric interpretation of orbit data and finally prove the conjugation for geometric orbit datum using geometric method.
Lie group,, orbit data,, Dixrnier correspondence.,
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【期刊论文】Dipolarizations in semisimple Lie algebras and homogeneous parakaihler manifolds
侯自新, Zixin Hou, Shaoqiang Deng, Soji Kaneyuki*, and Kyo Nishiyamat
Journal of Lie Theory Volume 9(1999)215-232,-0001,():
-1年11月30日
A dipolarization in a Lie algebra θ is two polarizations θ±in at a common linear form on θ satisfying θ=θ±+9-. We study dipolarizations in semisimple Lie algebras, especially, the relation between dipolarizations and gradations. As an application, we give a relation between semisimple homogeneous parakahler manifolds and hyperbolic sernisimple orbits. For real semisimple, we determine the characteristic elements, from which dipolarizations can be constructed.
Semisimple Lie algebra,, graded Lie algebra,, parabolic subalgebra,, dipolarization,, parakahler manifold.,
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【期刊论文】Dipolarizations in Compact Lie Algebras and Homogeneous Parakihler Manifolds
侯自新, Zixin HOU, Shaoqiang DENG, and Soji KANEYUKI
TOKYO J. MATH. VOL. 20, NO.2, 1997,-0001,():
-1年11月30日
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