Lie Groups, Lie Algebras, and Representations - Springer
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups …
Lie Groups, Lie Algebras, and Representations - 豆瓣读书
2003年8月7日 · The first covers Lie groups and Lie algebras and the relationship between them, along with basic representation theory. The second part covers the theory of semisimple Lie …
Lie Groups, Lie Algebras, and Their Representations
Book Title: Lie Groups, Lie Algebras, and Their Representations. Authors: V. S. Varadarajan. Series Title: Graduate Texts in Mathematics. DOI: https://doi.org/10.1007/978-1-4612-1126-6. …
Lie Groups, Lie Algebras, and Representations: An Elementary ...
2015年5月22日 · This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of …
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introduces numerous examples of matrix Lie groups and examines their topological properties. After discussing the matrix exponential in Chapter 2, I turn to Lie algebras in Chapter 3, …
[PDF] Lie Groups, Lie Algebras, and Representations: An Elementary ...
2004年8月27日 · The current work shows how an analysis using geometric algebra provides a picture complementary to that of the classic matrix Lie algebra approach, while retaining …
Abstract. This paper studies the relationship between representations of a Lie group and representations of its Lie algebra. We will make the correspon-dence in two steps: First we …
Lie Groups and Lie Algebras I | Mathematics | MIT OpenCourseWare
This course is the first half of the year-long introductory graduate sequence 18.745/18.755 on Lie groups and Lie algebras. Topics include foundations of the theory of Lie groups and Lie …
A. Kirillov - An introduction to Lie groups and Lie algebras J-P. Serre - Complex semisimple Lie algebra W. Fulton, J. Harris - Representation theory Kirillov is the closest to what we will …
We'll then discuss a very important class of Lie algebras, called semisimple Lie algebras, and we'll examine the repre-sentation theory of two of the most basic Lie algebras: sl2 and sl3. Using …