Preliminaries on lie groups

Veronique Fischer, Michael Ruzhansky

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this chapter we provide the reader with basic preliminary facts about Lie groups that we will be using in the sequel. At the same time, it gives us a chance to fix the notation for the rest of the monograph. The topics presented here are all wellknown and we decided to give a brief account without proofs referring the reader for more details to excellent sources where this material is treated from different points of view; for example, the monographs by Chevalley [Che99], Fegan [Feg91], Nomizu [Nom56], Pontryagin [Pon66], to mention only a few.

Original languageEnglish
Title of host publicationQuantization on Nilpotent Lie Groups
PublisherBirkhäuser
Pages15-56
Number of pages42
ISBN (Print)9783319295572
DOIs
Publication statusPublished - Mar 2016

Publication series

NameProgress in Mathematics
Volume314

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis
  • Geometry and Topology

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    Fischer, V., & Ruzhansky, M. (2016). Preliminaries on lie groups. In Quantization on Nilpotent Lie Groups (pp. 15-56). (Progress in Mathematics; Vol. 314). Birkhäuser. https://doi.org/10.1007/978-3-319-29558-9_1