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1. |
Record Nr. |
UNINA9910480756603321 |
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Autore |
Brundan Jonathan <1970-> |
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Titolo |
Representations of shifted Yangians and finite W-algebras / / Jonathan Brundan, Alexander Kleshchev |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2008] |
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©2008 |
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ISBN |
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Descrizione fisica |
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1 online resource (122 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 918 |
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Disciplina |
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Soggetti |
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Representations of quantum groups |
Lie superalgebras |
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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"November 2008, volume 196, number 918 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 105-107). |
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Nota di contenuto |
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""Contents""; ""Chapter 1. Introduction""; ""Acknowledgements""; ""Chapter 2. Shifted Yangians""; ""2.1. Generators and relations""; ""2.2. PBW theorem""; ""2.3. Some automorphisms""; ""2.4. Parabolic generators""; ""2.5. Hopf algebra structure""; ""2.6. The center of Y[sub(n)](Ï?)""; ""Chapter 3. Finite W-algebras""; ""3.1. Pyramids""; ""3.2. Finite W-algebras""; ""3.3. Invariants""; ""3.4. Finite W-algebras are quotients of shifted Yangians""; ""3.5. More automorphisms""; ""3.6. Miura transform""; ""3.7. Vanishing of higher T[sup(r)][sub(i,j)]'s""; ""3.8. Harish-Chandra homomorphisms"" |
""Chapter 4. Dual canonical bases""""4.1. Tableaux""; ""4.2. Dual canonical bases""; ""4.3. Crystals""; ""4.4. Consequences of the Kazhdan-Lusztig conjecture""; ""Chapter 5. Highest weight theory""; ""5.1. Admissible modules""; ""5.2. Gelfand-Tsetlin characters""; ""5.3. Highest weight modules""; ""5.4. Classification of admissible irreducible representations""; ""5.5. Composition multiplicities""; ""Chapter 6. Verma modules""; ""6.1. Parametrization of highest weights""; ""6.2. Characters of Verma modules""; ""6.3. The linkage principle""; ""6.4. The center of W(Ï€)"" |
""6.5. Proof of Theorem 6.2""""Chapter 7. Standard modules""; ""7.1. Two rows""; ""7.2. Classification of finite dimensional irreducible |
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representations""; ""7.3. Tensor products""; ""7.4. Characters of standard modules""; ""7.5. Grothendieck groups""; ""Chapter 8. Character formulae""; ""8.1. Skryabin's theorem""; ""8.2. Tensor identities""; ""8.3. Translation functors""; ""8.4. Translation commutes with duality""; ""8.5. Whittaker functor""; ""Notation""; ""Bibliography"" |
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2. |
Record Nr. |
UNINA9910337639703321 |
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Autore |
Werbińska-Wojciechowska Sylwia |
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Titolo |
Technical System Maintenance : Delay-Time-Based Modelling / / by Sylwia Werbińska-Wojciechowska |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
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ISBN |
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Edizione |
[1st ed. 2019.] |
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Descrizione fisica |
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1 online resource (361 pages) |
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Collana |
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Springer Series in Reliability Engineering, , 1614-7839 |
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Disciplina |
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Soggetti |
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Quality control |
Reliability |
Industrial safety |
Mathematical models |
Mathematical optimization |
Quality Control, Reliability, Safety and Risk |
Mathematical Modeling and Industrial Mathematics |
Continuous Optimization |
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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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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Introduction -- Preventive Maintenance Models for Technical Systems -- Inspection Models for Technical Systems -- Delay-Time Maintenance Models for Technical Systems -- Delay-Time Models for Multi-unit Technical Systems Working in Various Reliability Structures -- Delay-Time Models Implementation Issues -- Conclusions and Future Research. |
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Sommario/riassunto |
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This book provides a detailed introduction to maintenance policies and the current and future research in these fields, highlighting |
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mathematical formulation and optimization techniques. It comprehensively describes the state of art in maintenance modelling and optimization for single- and multi-unit technical systems, and also investigates the problem of the estimation process of delay-time parameters and how this affects system performance. The book discusses delay-time modelling for multi-unit technical systems in various reliability structures, examining the optimum maintenance policies both analytically and practically, focusing on a delay-time modelling technique that has been employed by researchers in the field of maintenance engineering to model inspection intervals. It organizes the existing work into several fields, based mainly on the classification of single- and multi-unit models and assesses the applicability of the reviewed works and maintenance models. Lastly, it identifies potential future research directions and suggests research agendas. This book is a valuable resource for maintenance engineers, reliability specialists, and researchers, as it demonstrates the latest developments in maintenance, inspection and delay-time-based maintenance modelling issues. It is also of interest to graduate and senior undergraduate students, as it introduces current theory and practice in maintenance modelling issues, especially in the field of delay-time modelling. |
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