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Lie Algebras of Finite and Affine Type
Roger William Carter
出版Cambridge University Press, 2005-10-27
主題Mathematics / Algebra / GeneralMathematics / Algebra / LinearMathematics / Finite MathematicsScience / Physics / General
ISBN05218513869780521851381
URLhttp://books.google.com.hk/books?id=gv2Xf8VVi2MC&hl=&source=gbs_api
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註釋Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject, including both the Cartan-Killing-Weyl theory of finite dimensional simple algebras and the more modern theory of Kac-Moody algebras. Proofs are given in detail and the only prerequisite is a sound knowledge of linear algebra. The Appendix provides a summary of the basic properties of each Lie algebra of finite and affine type.