Introduction to the Representation Theory of Compact and Locally Compact Groups: REPRESENTATIONS OF LOCALLY COMPACT GROUPS
Introduction to the Representation Theory of Compact and Locally Compact Groups: REPRESENTATIONS OF LOCALLY COMPACT GROUPS
复制标题
紧致群和局部紧群的表示论简介：局部紧群的表示
DOI：
10.1017/cbo9780511661891
复制
发表时间：
1983
影响因子：
2.4
通讯作者：
A. Robert
中科院分区：
文献类型：
--
作者：
A. Robert
第一部分.紧群的表示：1.紧群和Haar测度2.代表性，一般结构3。几何应用4.紧群的一维表示5.正则表达式的分解6.卷积，Plancherel公式和傅立叶逆7。字符和群代数8.诱导表示和Frobenius-Weil互惠性9.塔纳卡二元性10.第二部分旋转组的表示。局部紧群的表示：11。有限维表示数很少的群12.局部紧群和齐次空间上的不变测度13. 14.第14章. G和L1（G）的表示15.舒尔引理：无界版本16。17.第17章我的世界S12（R）18的离散系列。S12（R）19的主要系列。分解沿着交换子群20. 21.第一次约会接近一个抽象的Plancherel公式尾声。
Part I. Representations of compact groups: 1. Compact groups and Haar measures 2. Representations, general constructions 3. A geometrical application 4. Finite-dimensional representations of compact groups 5. Decomposition of the regular representation 6. Convolution, Plancherel formula & Fourier inversion 7. Characters and group algebras 8. Induced representations and Frobenius-Weil reciprocity 9. Tannaka duality 10. Representations of the rotation group Part II. Representations of Locally Compact Groups: 11. Groups with few finite-dimensional representations 12. Invariant measures on locally compact groups and homogeneous spaces 13. Continuity properties of representations 14. Representations of G and of L1(G) 15. Schur's lemma: unbounded version 16. Discrete series of locally compact groups 17. The discrete series of S12(R) 18. The principal series of S12(R) 19. Decomposition along a commutative subgroup 20. Type I groups 21. Getting near an abstract Plancherel formula Epilogue.