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Lie Algebras of Finite and Affine Type.
~
Kirwan, F.
Lie Algebras of Finite and Affine Type.
紀錄類型:
書目-電子資源 : 單行本
正題名/作者:
Lie Algebras of Finite and Affine Type./
作者:
Carter, Roger.
其他作者:
Bollobas, B.
出版者:
Cambridge :Cambridge University Press, : 2005.,
面頁冊數:
652 p.
電子資源:
Click here to view book
ISBN:
9780511614910 (electronic bk.)
Lie Algebras of Finite and Affine Type.
Carter, Roger.
Lie Algebras of Finite and Affine Type.
[electronic resource]. - Cambridge :Cambridge University Press,2005. - 652 p.
Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; 1 Basic concepts; 2 Representations of soluble and nilpotent Lie algebras; 3 Cartan subalgebras; 4 The Cartan decomposition; 5 The root system and the Weyl group; 6 The Cartan matrix and the Dynkin diagram; 7 The existence and uniqueness theorems; 8 The simple Lie algebras; 9 Some universal constructions; 10 Irreducible modules for semisimple Lie algebras; 11 Further properties of the universal enveloping algebra; 12 Character and dimension formulae; 13 Fundamental modules for simple Lie algebras
Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject. Proofs are given in detail and the only prerequisite is a sound knowledge of linear algebra. A detailed Appendix is included.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511614910 (electronic bk.)Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QA252.3 . / C37 2005
Dewey Class. No.: 512.482
Lie Algebras of Finite and Affine Type.
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Lie Algebras of Finite and Affine Type.
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652 p.
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Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; 1 Basic concepts; 2 Representations of soluble and nilpotent Lie algebras; 3 Cartan subalgebras; 4 The Cartan decomposition; 5 The root system and the Weyl group; 6 The Cartan matrix and the Dynkin diagram; 7 The existence and uniqueness theorems; 8 The simple Lie algebras; 9 Some universal constructions; 10 Irreducible modules for semisimple Lie algebras; 11 Further properties of the universal enveloping algebra; 12 Character and dimension formulae; 13 Fundamental modules for simple Lie algebras
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14 Generalised Cartan matrices and Kac–Moody algebras15 The classification of generalised Cartan matrices; 16 The invariant form, Weyl group, and root system; 17 Kac–Moody algebras of affine type; 18 Realisations of affine Kac–Moody algebras; 19 Some representations of symmetrisable Kac–Moody algebras; 20 Representations of affine Kac–Moody algebras; 21 Borcherds Lie algebras; Appendix; Notation; Bibliography; Bibliography; Index
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Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject. Proofs are given in detail and the only prerequisite is a sound knowledge of linear algebra. A detailed Appendix is included.
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Available via World Wide Web.
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Katok, A.
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Kirwan, F.
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Sarnak, P.
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Click here to view book
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http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511614910
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