Principal Structures and Methods of Representation Theory is popular PDF and ePub book, written by Dmitriĭ Petrovich Zhelobenko in 2024-09-30, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Principal Structures and Methods of Representation Theory can be Read Online from any device for your convenience.

Principal Structures and Methods of Representation Theory Book PDF Summary

The main topic of this book can be described as the theory of algebraic and topological structures admitting natural representations by operators in vector spaces. These structures include topological algebras, Lie algebras, topological groups, and Lie groups. The book is divided into three parts. Part I surveys general facts for beginners, including linear algebra and functional analysis. Part II considers associative algebras, Lie algebras, topological groups, and Lie groups,along with some aspects of ring theory and the theory of algebraic groups. The author provides a detailed account of classical results in related branches of mathematics, such as invariant integration and Lie's theory of connections between Lie groups and Lie algebras. Part III discusses semisimple Liealgebras and Lie groups, Banach algebras, and quantum groups. This is a useful text for a wide range of specialists, including graduate students and researchers working in mathematical physics and specialists interested in modern representation theory. It is suitable for independent study or supplementary reading. Also available from the AMS by this acclaimed author is Compact Lie Groups and Their Representations.

Detail Book of Principal Structures and Methods of Representation Theory PDF

Principal Structures and Methods of Representation Theory
  • Author : Dmitriĭ Petrovich Zhelobenko
  • Release : 30 September 2024
  • Publisher : American Mathematical Soc.
  • ISBN : 0821889672
  • Genre : Mathematics
  • Total Page : 456 pages
  • Language : English
  • PDF File Size : 19,7 Mb

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