Lie groups

Lie groups

This textbook provides an essential introduction to Lie groups, presenting the theory from its fundamental principles. Lie groups are a special class of groups that are studied using differential and integral calculus methods. As a mathematical structure, a Lie group combines the algebraic group str...

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Bibliographic Details
Main Author: San Martin, Luiz Antonio Barrera
Format: Book
Language:English
Published: Cham: Springer, 2021.
Series:Latin american Mathematics series
Subjects:
Group Theory
Geometry algebraic
Algebra
Lie groups
Online Access:Texto completo

MARC

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505 |t Part I: Topological Groups 
505 |t Part II: Lie Groups and Algebras 
505 |t Part III: Lie Algebras and Simply Connected Groups 
505 |t Part IV: Transformation Groups 
505 |t Part V: Appendices 
520 |a This textbook provides an essential introduction to Lie groups, presenting the theory from its fundamental principles. Lie groups are a special class of groups that are studied using differential and integral calculus methods. As a mathematical structure, a Lie group combines the algebraic group structure and the differentiable variety structure. Studies of such groups began around 1870 as groups of symmetries of differential equations and the various geometries that had emerged. Since that time, there have been major advances in Lie theory, with ramifications for diverse areas of mathematics and its applications.Each chapter of the book begins with a general, straightforward introduction to the concepts covered; then the formal definitions are presented; and end-of-chapter exercises help to check and reinforce comprehension. Graduate and advanced undergraduate students alike will find in this book a solid yet approachable guide that will help them continue their studies with confidence. 
650 4 |a Group Theory 
650 4 |a Geometry algebraic 
650 4 |a Algebra 
650 4 |a Lie groups 
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