本文主要研究内容
作者（2019）在《Gelfand–Kirillov Dimension and Reducibility of Scalar Generalized Verma Modules》一文中研究指出：The Gelfand–Kirillov dimension is an invariant which can measure the size of infinitedimensional algebraic structures. In this article, we show that it can also measure the reducibility of scalar generalized Verma modules. In particular, we use it to determine the reducibility of scalar generalized Verma modules associated with maximal parabolic subalgebras in the Hermitian symmetric case.
Abstract
The Gelfand–Kirillov dimension is an invariant which can measure the size of infinitedimensional algebraic structures. In this article, we show that it can also measure the reducibility of scalar generalized Verma modules. In particular, we use it to determine the reducibility of scalar generalized Verma modules associated with maximal parabolic subalgebras in the Hermitian symmetric case.
论文参考文献
[1].OPERATORS IN ■ ARE M-HYPONORMAL[J]. 范明. Science Bulletin.1985(10)[2].RESEARCH ANNOUNCEMENTS Minimally Immersed Hypersurfaces in Spheres With Constant Scalar Curvature[J]. 成庆明,孙华飞. 数学进展.1989(04)[3].QUANTUM COSMOLOGY WITH SCALAR-SPINOR INTERACTION FIELD[J]. 沈有根. Science in China,Ser.A.1989(07)[4].ON THE EXTENSION OF A THEOREM OF W. DICKMEIS et al.[J]. 周颂平. Chinese Science Bulletin.1989(14)[5].New orthonormal and complete representation for complex scalar fields[J]. FAN Hongyi and FAN YueDepartment of Material Science and Engineering, University of Science and Technology of China , Hefei 230026, China. Chinese Science Bulletin.1999(08)[6].Hermitian Generalization of the Rarita-Schwinger Operators[J]. Alberto DAMIANO,David EELBODE. Acta Mathematica Sinica(English Series).2010(02)[7].Exact solution of the one-dimensional Klein-Gordon equation with scalar and vector linear potentials in the presence of a minimal length[J]. Y Chargui,L Chetouani,A Trabelsi. Chinese Physics B.2010(02)[8].Hermitian Yang–Mills Metrics on Higgs Bundles over Asymptotically Cylindrical K?hler Manifolds[J]. Pan ZHANG. Acta Mathematica Sinica.2019(07)[9].On Compact Hermitian Manifolds with Flat Gauduchon Connections[J]. Bo YANG,Fang Yang ZHENG. Acta Mathematica Sinica.2018(08)[10].Nonpositively Curved Almost Hermitian Metrics on Product of Compact Almost Complex Manifolds[J]. Chengjie YU. Acta Mathematica Sinica.2015(01)
论文详细介绍
论文作者分别是来自Acta Mathematica Sinica的，发表于刊物Acta Mathematica Sinica2019年11期论文，是一篇关于,Acta Mathematica Sinica2019年11期论文的文章。本文可供学术参考使用，各位学者可以免费参考阅读下载，文章观点不代表本站观点，资料来自Acta Mathematica Sinica2019年11期论文网站，若本站收录的文献无意侵犯了您的著作版权，请联系我们删除。
标签：Acta Mathematica Sinica2019年11期论文;
：Gelfand–Kirillov Dimension and Reducibility of Scalar Generalized Verma Modules论文
下载Doc文档