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Record Nr. |
UNINA9910480527203321 |
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Autore |
Sommerhäuser Yorck <1966-> |
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Titolo |
Hopf algebras and congruence subgroups / / Yorck Sommerhäuser, Yongchang Zhu |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2012 |
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©2012 |
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ISBN |
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Descrizione fisica |
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1 online resource (134 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 219, Number 1028 |
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Disciplina |
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Soggetti |
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Hopf algebras |
Modular groups |
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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"September 2012 , Volume 219, Number 1028 (first of 5 numbers)." |
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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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""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. The Modular Group""; ""1.1. Generators and relations""; ""1.2. Congruence subgroups""; ""1.3. Orbits and congruence relations""; ""1.4. Presentations of the reduced modular group""; ""Chapter 2. Quasitriangular Hopf Algebras""; ""2.1. Quasitriangular Hopf algebras""; ""2.2. The Drinfel�d double construction""; ""2.3. Integrals of the Drinfel�d double""; ""2.4. Twisting""; ""Chapter 3. Factorizable Hopf Algebras""; ""3.1. Doubles of quasitriangular Hopf algebras""; ""3.2. Factorizable Hopf algebras"" |
""3.3. The coproduct of the evaluation form""""3.4. The double and the tensor product""; ""3.5. Integrals of factorizable Hopf algebras""; ""Chapter 4. The Action of the Modular Group""; ""4.1. The role of the integral""; ""4.2. The inverse of \ ""; ""4.3. Ribbon elements""; ""4.4. The linearity of the action""; ""4.5. Integrals, ribbon elements, and the double""; ""4.6. The modular group and the double""; ""Chapter 5. The Semisimple Case""; ""5.1. The character ring""; ""5.2. The Verlinde matrix""; ""5.3. Matrix identities""; ""5.4. A comparison""; ""5.5. The exponent"" |
""5.6. Radford�s example""""Chapter 6. The Case of the Drinfel�d Double""; ""6.1. The role of the evaluation form""; ""6.2. The new |
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maps""; ""6.3. The first relation""; ""6.4. The second approach to the action of the modular group""; ""6.5. Matrix representations of the new maps""; ""Chapter 7. Induced Modules""; ""7.1. Induction""; ""7.2. Induction and duality""; ""7.3. The relation with the center construction""; ""7.4. The relation of the coherence properties""; ""7.5. Adjoint functors""; ""7.6. More coherence properties""; ""Chapter 8. Equivariant Frobenius-Schur Indicators"" |
""8.1. Equivariant Frobenius-Schur indicators""""8.2. Indicators and duality""; ""8.3. The equivariance theorem""; ""8.4. The orbit theorem""; ""Chapter 9. Two Congruence Subgroup Theorems""; ""9.1. The action on the character ring""; ""9.2. Induction and multiplicities""; ""9.3. The congruence subgroup theorem for the Drinfel�d double""; ""9.4. The projective congruence subgroup theorem""; ""Chapter 10. The Action of the Galois Group""; ""10.1. The Galois group and the character ring""; ""10.2. The semilinear actions""; ""10.3. The action on the center"" |
""10.4. Representations of the Drinfel�d double""""10.5. The equivariance of the isomorphism""; ""Chapter 11. Galois Groups and Indicators""; ""11.1. A digression on Frobenius algebras""; ""11.2. The invariance of the induced trivial module""; ""11.3. The action and the indicators""; ""11.4. Diagonal matrices""; ""11.5. The Galois group and the modular group""; ""Chapter 12. Galois Groups and Congruence Subgroups""; ""12.1. The Hopf symbol""; ""12.2. Properties of the Hopf symbol""; ""12.3. The Hopf symbol and the Jacobi symbol""; ""12.4. The linear congruence subgroup theorem""; ""Notes"" |
""Bibliography"" |
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2. |
Record Nr. |
UNINA9910814011803321 |
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Titolo |
Skeletal trauma analysis : case studies in context / / edited by Nicholas V. Passalacqua, Christopher W. Rainwater ; contributors Bradley Adams [and thirty one others] |
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Pubbl/distr/stampa |
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Chichester, England : , : Wiley Blackwell, , 2015 |
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©2015 |
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ISBN |
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1-118-38419-9 |
1-118-38421-0 |
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Descrizione fisica |
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1 online resource (307 p.) |
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Disciplina |
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Soggetti |
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Forensic anthropology |
Forensic osteology |
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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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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters and index. |
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Nota di contenuto |
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Atypical gunshot and blunt force injuries : wounds along the biomechanical continuum / Brian F. Spatola -- Over-interpretation of bone injuries and implications for cause and manner of death / Joao Pinheiro, Eugenia Cunha, and Steven Symes -- Skeletal injuries in cases of child abuse : two case studies from the Harris County Institute of Forensic Sciences / Jason M. Wiersema and Jennifer C. Love -- Blunt force trauma patterns in the human skull and thorax : a case study from northern California / Eric J. Bartelink -- Patterns of skeletal trauma inflicted during the Spanish Civil War / Nicholas V. Passalacqua, Ciaran Brewster, Marina Martinez de Pinillos Gonzalez, and Jose Miguel Carretero Diaz -- Shot and beaten to death : suspected projectile and blunt force trauma in a case involving an extended period of postmortem water immersion / Hugo F.V. Cardoso, Katerina S. Puentes, and Luis F.N. Coelho -- Man's best friend : a case study of ballistics trauma and animal scavenging / Gina Hart -- Skeletal evidence of violent sexual assault in remains with excessive evidence of scavenging / Hugh E. Berryman and Tiffany B. Saul -- Neurocranial fractures / Jennifer C. Love -- Blunt force trauma associated with a fall from heights / MariaTeresa A. Tersigni-Tarrant -- Low-velocity impact |
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trauma : an illustrative selection of cases from the joint POW/MIA accounting command Central Identification Laboratory / Paul Emanovsky -- Blast trauma / Angi M. Christensen and Victoria A. Smith -- Case studies in skeletal blast trauma / Nikki A. Willits, Joseph T. Hefner, and MariaTeresa Tersigni-Tarrant -- Burned human remains in a double homicide : a forensic case in Cyprus / Popi Th. Chrysostomou -- The utility of spatial analysis in the recognition of normal and abnormal patterns in burned human remains / Christina L. Fojas, Luis L. Cabo, Nicholas V. Passalacqua, Christopher W. Rainwater, Katerina S. Puentes, and Steven A. Symes -- Three modes of dismemberment : disarticulation around the joints, transecting of bone via chopping, and transection of bone via sawing / Christopher W. Rainwater -- Kreischer Mansion homicide / Lauren Regucci and Bradley Adams -- Postmortem trauma and the "CSI effect" : is TV making smarter criminals? / Elizabeth A. Murray and Anthony E. Dwyer. |
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Sommario/riassunto |
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In the post-Daubert era, forensic science disciplines are increasingly informed by robust, statistically-sound experimental research. The educational value of the well-documented case study, however, remains as important as ever. Emphasizing known contextual information, this volume serves as a case-driven guide to skeletal trauma analysis through the unique perspective of each chapter's authors. Both forensic anthropologists and pathologists contribute skeletal trauma cases covering a range of topics including child abuse, blunt force trauma, descents from height, plane crashes, sharp force t |
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