Graduate　Studies　in　Mathematicsシリーズの最新刊　発売中

AMSの　Graduate　Studies　in　Mathematicsシリーズの最新刊　発売中です。

Introduction to Lie Algebras
(Graduate Studies in Mathematics Vol. 248)

●著者：Hall, J. I.
●出版社：American Mathematical Society
●ISBN：978-1-4704-7499-7
●刊行：2025/01
●hardcover/514P

リー代数は美しい理論であると同時に貴重なツールでもあり、数学の非常に重要な分野を形成しています。この現代的な入門書は、初級レベルの大学院生を対象としています。

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 differential equations, Lie groups, superalgebras, and vertex operator algebras.

Each chapter concludes with a problem section and a section on context and history. There is an extensive bibliography, and appendices present some algebraic results used in the book.

特価の設定はございません。

大学生協洋書オンラインストア上でログイン前に表示されている価格はデフォルトの価格で
実際の店舗での販売価格と異なる場合がございます。組合員価格はログインしてご確認いただくか、大学生協各店舗へお問い合わせください。

ご注文はこちらからどうぞ↓

https://yosho.univcoop.jp/BookShop/Book/Detail?icd=1039516525&isbn=978-1-4704-7499-7


PAGE TOP