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Some generalized Kac-Moody algebras with known root multiplicities / / Peter Niemann
| Some generalized Kac-Moody algebras with known root multiplicities / / Peter Niemann |
| Autore | Niemann Peter <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2002 |
| Descrizione fisica | 1 online resource (137 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kac-Moody algebras
Root systems (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0339-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" |
| Record Nr. | UNINA-9910480939803321 |
Niemann Peter <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Some generalized Kac-Moody algebras with known root multiplicities / / Peter Niemann
| Some generalized Kac-Moody algebras with known root multiplicities / / Peter Niemann |
| Autore | Niemann Peter <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2002 |
| Descrizione fisica | 1 online resource (137 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kac-Moody algebras
Root systems (Algebra) |
| ISBN | 1-4704-0339-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" |
| Record Nr. | UNINA-9910788846103321 |
|
Niemann Peter <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Some generalized Kac-Moody algebras with known root multiplicities / / Peter Niemann
| Some generalized Kac-Moody algebras with known root multiplicities / / Peter Niemann |
| Autore | Niemann Peter <1965-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2002 |
| Descrizione fisica | 1 online resource (137 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kac-Moody algebras
Root systems (Algebra) |
| ISBN | 1-4704-0339-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" |
| Record Nr. | UNINA-9910818970603321 |
|
Niemann Peter <1965->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||