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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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2. |
Record Nr. |
UNINA9910784743403321 |
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Titolo |
Redefining Judaism in an Age of Emancipation : Comparative Perspectives on Samuel Holdheim (1806-1860) / / edited by Christian Wiese |
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Pubbl/distr/stampa |
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Leiden; ; Boston : , : BRILL, , 2006 |
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ISBN |
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1-281-40012-2 |
9786611400125 |
90-474-1039-4 |
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Descrizione fisica |
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1 online resource (461 p.) |
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Collana |
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Studies in Jewish History and Culture ; ; 13 |
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Disciplina |
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Soggetti |
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Emancipation of Jews - Germany - History 19th Century |
Reform Judaism - Germany - History - 19th century |
Reform Judaism |
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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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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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pt. I. Reformer, scholar, political thinker -- pt. II. Holdheim in the context of the reform controversies -- pt. III. Radical reform in comparative perspective. |
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Sommario/riassunto |
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Based on a comparative and interdisciplinary approach, this volume for the first time interprets the biography and philosophy of the German Jewish thinker Samuel Holdheim (1806-1860), shedding new light on a neglected phenomenon of nineteenth century Jewish intellectual history - the radical Reform Movement that started in Germany and culminated in the American Jewish Reform ideology. Leading scholars of modern Jewish history and thought from Germany, France, Belgium and the United States present a thorough reading of Holdheim's influential writings in the broader context of the debates within German Jewry about the modernization of Jewish identity in an age of political emancipation and cultural integration, including such controversial issues as the authority of the rabbinical tradition or the re-interpretation of the ceremonial laws. |
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