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Record Nr. |
UNINA9910480939803321 |
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Autore |
Niemann Peter <1965-> |
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Titolo |
Some generalized Kac-Moody algebras with known root multiplicities / / Peter Niemann |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2002 |
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ISBN |
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Descrizione fisica |
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1 online resource (137 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 746 |
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Disciplina |
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Soggetti |
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Kac-Moody algebras |
Root systems (Algebra) |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 157, number 746 (second of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Introduction""; ""Chapter 1. Generalized Kac-Moody Algebras""; ""1.1. Definition and Fundamental Properties""; ""1.2. The Denominator Formula""; ""1.3. Vertex Algebras""; ""1.4. The Fake Monster Lie Algebra""; ""1.5. The Twisted Denominator Formula""; ""1.6. Construction of the GKMs""; ""1.7. Root Multiplicities""; ""Chapter 2. Modular Forms""; ""2.1. Review of Modular Group and Modular Forms""; ""2.2. Some Modular Forms Related to Eta""; ""Chapter 3. Lattices and their Theta-Functions""; ""3.1. Review of Results about Lattices""; ""3.2. The Character of Theta"" |
""Chapter 4. The Proof of Theorem 1.7""""4.1. The Theta-Function of L*""; ""4.2. Sums of Quadratic Residues""; ""4.3. The Short Vectors of L*""; ""4.4. The Conclusion of the Proof""; ""Chapter 5. The Real Simple Roots""; ""5.1. The Set of Real Simple Roots""; ""5.2. Holes and Dynkin Diagrams""; ""5.3. The Volume Formula""; ""5.4. The Automorphism Groups""; ""Chapter 6. Hyperbolic Lie Algebras""; ""6.1. Wan's classification""; ""6.2. Finite, Affine, and Hyperbolic Subalgebras""; ""6.3. Conclusions""; ""Appendix A""; ""N=23""; ""N=11""; ""N=7""; ""N=5""; ""N=3""; ""N=2""; ""Appendix B"" |
""Bibliography""""Notation"" |
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