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Can I read Introduction to Lie Algebras: Finite and Infinite Dimension on EtoBox?
Introduction to Lie Algebras: Finite and Infinite Dimension by J. I. Hall is a nonfiction available to read on EtoBox.
What is Introduction to Lie Algebras: Finite and Infinite Dimension about?
Being both a beautiful theory and a valuable tool, Lie algebras form a very important area of mathematics. This modern introduction targets entry-level graduate students. It might also be of interest to those wanting to refresh their knowledge of the area and be introduced to newer material. Infinite dimensional algebras are treated extensively along with the finite dimensional ones. After some motivation, the text gives a detailed and concise treatment of the Killing–Cartan classification of finite dimensional semisimple algebras over algebraically closed fields of characteristic 0. Important constructions such as Chevalley bases follow. The second half of the book serves as a broad introduction to algebras of arbitrary dimension, including Kac–Moody (KM), loop, and affine KM algebras. Finite dimensional semisimple algebras are viewed as KM algebras of finite dimension, their representation and character theory developed in terms of integrable representations. The text also covers triangular decomposition (after Moody and Pianzola) and the BGG category O. A lengthy chapter discusses the Virasoro algebra and its representations. Several applications to physics are touched on via di
Who reads Introduction to Lie Algebras: Finite and Infinite Dimension?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- J. I. Hall
- Publisher
- American Mathematical Society
- Published
- 2024
- Language
- EN
- ISBN
- 9781470479169
- Category
- nonfiction
- Subjects
- Mathematics, Stem