Representations of Lie Groups

Amor Hasi?

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Representations of Lie Groups

机译：谎言群体的代表

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In this paper, the most important liner groups are classified. Those that we often have the opportunity to meet when studying linear groups as well as their application in left groups. In addition to the introductory part, we have general linear groups, special linear groups, octagonal groups, symplicit groups, cyclic groups, dihedral groups: generators and relations. The paper is summarized with brief deficits, examples and evidence as well as several problems. When you ask why this paper, I will just say that it is one of the ways I contribute to the community and try to be a part of this little world of science.

机译：在本文中，最重要的衬里组分类。那些我们经常有机会在学习线性群体时会面以及在左侧群体中的应用程序时。除了介绍部分外，我们还有一般的线性群体，特殊的线性群体，八方组，股东，循环组，Dihedral组：发电机和关系。本文总结了短暂的缺陷，例子和证据以及几个问题。当你问为什么这篇论文时，我只会说这是我对社区做出贡献的方式之一，并试图成为这个科学的小世界的一部分。

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《Advances in Linear Algebra & Matrix Theory》 |2021年第4期|共18页
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Amor Hasi?;
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AlgebrasGroupsLie GroupsLie Algebra;

机译：代数群谎称群体谎言代数;

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1. Introduction to Lie Algebras and Their Representations [J] . Amor Hasić 线性代数与矩阵理论研究进展（英文） . 2021,第003期
2. Representations of Lie Groups [J] . Amor Hasić 线性代数与矩阵理论研究进展（英文） . 2021,第004期
3. The Projective Cover of the Trivial Representation for a Finite Group of Lie Type in Defining Characteristic [J] . Shigeo Koshitani, Jürgen Müller 代数集刊（英文版） . 2017,第003期
4. The Projective Cover of the Trivial Representation for a Finite Group of Lie Type in Defining Characteristic [J] . Shigeo Koshitani1, Jürgen Müller2 代数集刊：英文版 . 2017,第003期
5. Linking Lie groupoid representations and representations of infinite-dimensional Lie groups [J] . Amiri Habib, Schmeding Alexander Annals of global analysis and geometry . 2019,第4期

机译：链接Lie Galoid表示和无限维谎群的表示
6. Representations of omega-Lie algebras and tailed derivations of Lie algebras [J] . Zhang Runxuan International journal of algebra and computation . 2021,第2期

机译：ω-lie代数的表示和谎言代数的尾派
7. Lie Hyperalgebras and Smooth Vectors of Representations of Lie Hypergroups [J] . Toomanian Megerdich, Amini Massoud, Heydari Abbas Iranian Journal of Science and Technology . 2019,第3期

机译：李超代数和李超群表示的光滑向量
8. Principal series representations of infinite dimensional Lie groups, II: Construction of induced representations [C] . Joseph A. Wolf Tufts University Workshop on Geometric Analysis on Euclidean and Homogeneous Spaces;Tufts University., Workshop Geometric Analysis on Euclidean and Homogeneous Spaces . 2013

机译：无限尺寸小组的主要系列表示，II：诱导象征的构建
9. Representations of affine truncations of representation involutive-semirings of Lie algebras and root systems of higher type. [D] . Graves, Timothy Wesley. 2011

机译：Lie代数和高级类型的根系统的表示对合半拟仿射截断的表示。
10. Representations of Semisimple Lie Groups on a Banach Space [O] . Harish-Chandra 2019

机译：Banach空间上半简单李群的表示
11. GENERALIZED WHITTAKER MODELS AND $n$-HOMOLOGY FOR SOME SMALL IRREDUCIBLE REPRESENTATIONS OF SIMPLE LIE GROUPS (Representations of Lie Groups and Noncommutative Harmonic Analysis) [O] . Yamashita Hiroshi 2000

机译：简单李群的一些不可约表示的广义whattaker模型和$ n $-同源性（李群的表示和非交换谐波分析）
12. Extensions of Representations of Lie Groups and Lie AlgebraⅠ [R] . G. Hochschild, G. D. Mostow 1957

机译：李群和李代数表示的扩张Ⅰ

Representations of Lie Groups

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