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Infinite-dimensional Lie Algebras by Iain Gordon



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About this book :-
Kac–Moody is a special kind of algebra called algebras, which are important in both mathematics and physics. The book covers how these algebras work, how they can be used, and how they connect to things like number theory and symmetry. Iain Gordon is a mathematician who studies related topics, especially Cherednik algebras, and has taught courses on infinite-dimensional Lie algebras, but he hasn’t written a book with that title. This text cover The Central extensions, The Virasoro algebra, The Heisenberg algebra, Enveloping algebras, A little infinite-dimensional surprise, Hands-on loop and affine algebras, Simple Lie algebras, Kac-Moody Lie algebras, Classification of generalised Cartanmatrices, Dynkin diagrams, Forms, Weyl groups and roots, Root spaces, Affine Lie algebras and Kac-Moody Lie algebras, etc.

Book Detail :-
This book has following details information.
Title: Infinite-dimensional Lie Algebras by Iain Gordon by NA
Publisher: University of Edinburgh
Series: eBookDirectory
Year: 2009
Pages: 55
Type: PDF
Language: English
ISBN-10 #: N\A
ISBN-13 #: N\A
Country: Pakistan
License: N\A
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About Author :-
The author NA NA

Book Contents :-
conver the following topics.
1. Introduction 2. Central extensions 3. The Virasoro algebra 4. The Heisenberg algebra 5. Representations of the Virasoro algebra 6. Enveloping algebras 7. The universal highest-weight representations of Vir 8. Irreducibilty and unitarity of Virasoro representations 9. A little infinite-dimensional surprise 10. Hands-on loop and affine algebras 11. Simple Lie algebras 12. Kac-Moody Lie algebras 13. Classification of generalised Cartan matrices 14. Dynkin diagrams 15. Forms, Weyl groups and roots 16. Root spaces 17. Affine Lie algebras and Kac-Moody Lie algebras 18. The Weyl-Kac formula 19. W - K + A = M 20. KP hierarchy and Lie theory 21. The Kazhdan-Lusztig Conjecture

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