Generalized lie theory in mathematics, physics and beyond
The goal of this book is to extend the understanding of the fundamental role of generalizations of Lie theory and related non-commutative and non-associative structures in mathematics and physics. This volume is devoted to the interplay between several rapidly expanding research fields in contempora...
Guardado en:
| Autor principal: | |
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| Otros Autores: | , , , |
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2009.
Cham : Springer Nature |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Generalized Lie Theory in Mathematics, Physics and Beyond, edited by Sergei Silvestrov, Eugen Paal, Viktor Abramov, Alexander Stolin., Berlin, Heidelberg, Springer, 2009, 978-3-540-85331-2 • Generalized Lie Theory in Mathematics, Physics and Beyond, Texte imprimé, 9783540854043 • Generalized Lie Theory in Mathematics, Physics and Beyond, Texte imprimé, 9783642099045 |
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| 020 | |a 9783540853329 | ||
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| 084 | |a 17-06. 2000 | ||
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| 084 | |a 81-06. 2000 | ||
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| 084 | |a 17Bxx. 2000 | ||
| 084 | |a 81Rxx. 2000 | ||
| 100 | 1 | |a Silvestrov, Sergei D., |d 19..- | |
| 245 | 1 | 0 | |a Generalized lie theory in mathematics, physics and beyond |c edited by Sergei Silvestrov, Eugen Paal, Viktor Abramov, [et al.]. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c 2009. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Non-Associative and Non-Commutative Structures for Physics -- Moufang Transformations and Noether Currents -- Weakly Nonassociative Algebras, Riccati and KP Hierarchies -- Applications of Transvectants -- Automorphisms of Finite Orthoalgebras, Exceptional Root Systems and Quantum Mechanics -- A Rewriting Approach to Graph Invariants -- Non-Commutative Deformations, Quantization, Homological Methods, and Representations -- Graded q-Differential Algebra Approach to q-Connection -- On Generalized N-Complexes Coming from Twisted Derivations -- Remarks on Quantizations, Words and R-Matrices -- Connections on Modules over Singularities of Finite and Tame CM Representation Type -- Computing Noncommutative Global Deformations Of D-Modules -- Comparing Small Orthogonal Classes -- Groups and Actions -- How to Compose Lagrangian? -- Semidirect Products of Generalized Quaternion Groups by a Cyclic Group -- A Characterization Of A Class Of 2-Groups By Their Endomorphism Semigroups -- Adjoint Representations and Movements -- Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional Differential Calculus -- Quasi-Lie, Super-Lie, Hom-Hopf and Super-Hopf Structures and Extensions, Deformations and Generalizations of Infinite-Dimensional Lie Algebras -- Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras -- Bosonisation and Parastatistics -- Deformations of the Witt, Virasoro, and Current Algebra -- Conformal Algebras in the Context of Linear Algebraic Groups -- Lie Color and Hom-Lie Algebras of Witt Type and Their Central Extensions -- A Note on Quasi-Lie and Hom-Lie Structures of ?-Derivations of C=[Z 1 +-1 , ,Z n +-1 ] -- Commutative Subalgebras in Noncommutative Algebras -- Algebraic Dependence of Commuting Elements in Algebras -- Crossed Product-Like and Pre-Crystalline Graded Rings.-Decomposition of the Enveloping Algebra so(5). | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The goal of this book is to extend the understanding of the fundamental role of generalizations of Lie theory and related non-commutative and non-associative structures in mathematics and physics. This volume is devoted to the interplay between several rapidly expanding research fields in contemporary mathematics and physics concerned with generalizations of the main structures of Lie theory aimed at quantization and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry and applications in physics and beyond. The book will be a useful source of inspiration for a broad spectrum of researchers and for research students, and includes contributions from several large research communities in modern mathematics and physics. This volume consists of 5 parts comprising 25 chapters, which were contributed by 32 researchers from 12 different countries. All contributions in the volume have been refereed. | ||
| 700 | 1 | |a Silvestrov, Sergei D. |4 pbd | |
| 700 | 1 | |a Paal, Eugen. |4 pbd | |
| 700 | 1 | |a Abramov, Viktor. |4 pbd | |
| 700 | 1 | |a Stolin, Alexander. |4 pbd | |
| 760 | 0 | |t Mathematics and Statistics | |
| 776 | 0 | |0 144693372 |t Generalized Lie Theory in Mathematics, Physics and Beyond |f edited by Sergei Silvestrov, Eugen Paal, Viktor Abramov, Alexander Stolin. |c Berlin, Heidelberg |n Springer |d 2009 |z 978-3-540-85331-2 | |
| 776 | 0 | |t Generalized Lie Theory in Mathematics, Physics and Beyond |b Texte imprimé |z 9783540854043 | |
| 776 | 0 | |t Generalized Lie Theory in Mathematics, Physics and Beyond |b Texte imprimé |z 9783642099045 | |
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