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EBOOKCENTRAL_on1287136982 |
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20240329122006.0 |
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211204s2022 xx o ||| 0 eng d |
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|a EBLCP
|b eng
|c EBLCP
|d SFB
|d OCLCQ
|d OCLCL
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|c (S
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|a 9781119880899
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|a 1119880890
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|a (OCoLC)1287136982
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|a 512
|q OCoLC
|2 23/eng/20231120
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|a UAMI
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| 100 |
1 |
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|a Makhlouf, Abdenacer.
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| 245 |
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|a Algebra and Applications 2
|h [electronic resource] :
|b Combinatorial Algebra and Hopf Algebras.
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| 260 |
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|a Newark :
|b John Wiley & Sons, Incorporated,
|c 2022.
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| 300 |
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|a 1 online resource (336 p.)
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| 500 |
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|a Description based upon print version of record.
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|a Cover -- Half-Title Page -- Title Page -- Copyright Page -- Contents -- Preface -- 1. Algebraic Background for Numerical Methods, Control Theory and Renormalization -- 1.1. Introduction -- 1.2. Hopf algebras: general properties -- 1.2.1. Algebras -- 1.2.2. Coalgebras -- 1.2.3. Convolution product -- 1.2.4. Bialgebras and Hopf algebras -- 1.2.5. Some simple examples of Hopf algebras -- 1.2.6. Some basic properties of Hopf algebras -- 1.3. Connected Hopf algebras -- 1.3.1. Connected graded bialgebras -- 1.3.2. An example: the Hopf algebra of decorated rooted trees
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|a 1.3.3. Connected filtered bialgebras -- 1.3.4. The convolution product -- 1.3.5. Characters -- 1.3.6. Group schemes and the Cartier-Milnor-Moore-Quillen theorem -- 1.3.7. Renormalization in connected filtered Hopf algebras -- 1.4. Pre-Lie algebras -- 1.4.1. Definition and general properties -- 1.4.2. The group of formal flows -- 1.4.3. The pre-Lie Poincaré-Birkhoff-Witt theorem -- 1.5. Algebraic operads -- 1.5.1. Manipulating algebraic operations -- 1.5.2. The operad of multi-linear operations -- 1.5.3. A definition for linear operads -- 1.5.4. A few examples of operads
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|a 1.6. Pre-Lie algebras (continued) -- 1.6.1. Pre-Lie algebras and augmented operads -- 1.6.2. A pedestrian approach to free pre-Lie algebra -- 1.6.3. Right-sided commutative Hopf algebras and the Loday-Ronco theorem -- 1.6.4. Pre-Lie algebras of vector fields -- 1.6.5. B-series, composition and substitution -- 1.7. Other related algebraic structures -- 1.7.1. NAP algebras -- 1.7.2. Novikov algebras -- 1.7.3. Assosymmetric algebras -- 1.7.4. Dendriform algebras -- 1.7.5. Post-Lie algebras -- 1.8. References -- 2. From Iterated Integrals and Chronological Calculus to Hopf and Rota-Baxter Algebras
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|a 2.1. Introduction -- 2.2. Generalized iterated integrals -- 2.2.1. Permutations and simplices -- 2.2.2. Descents, NCSF and the BCH formula -- 2.2.3. Rooted trees and nonlinear differential equations -- 2.2.4. Flows and Hopf algebraic structures -- 2.3. Advances in chronological calculus -- 2.3.1. Chronological calculus and half-shuffles -- 2.3.2. Chronological calculus and pre-Lie products -- 2.3.3. Time-ordered products and enveloping algebras -- 2.3.4. Formal flows and Hopf algebraic structures -- 2.4. Rota-Baxter algebras -- 2.4.1. Origin -- 2.4.2. Definition and examples
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| 500 |
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|a 3.2.5. Duality.
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 758 |
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|i has work:
|a ALGEBRA AND APPLICATIONS 2 (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCXVykV8r3rVvT7gRqWQYmq
|4 https://id.oclc.org/worldcat/ontology/hasWork
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| 776 |
0 |
8 |
|i Print version:
|a Makhlouf, Abdenacer
|t Algebra and Applications 2
|d Newark : John Wiley & Sons, Incorporated,c2022
|z 9781789450187
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| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=6817980
|z Texto completo
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| 880 |
8 |
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|6 505-00/(S
|a 2.4.3. Related algebraic structures -- 2.4.4. Atkinson's factorization and Bogoliubov's recursion -- 2.4.5. Spitzer's identity: commutative case -- 2.4.6. Free commutative Rota-Baxter algebras -- 2.4.7. Spitzer's identity: noncommutative case -- 2.4.8. Free Rota-Baxter algebras -- 2.5. References -- 3. Noncommutative Symmetric Functions, Lie Series and Descent Algebras -- 3.1. Introduction -- 3.2. Classical symmetric functions -- 3.2.1. Symmetric polynomials -- 3.2.2. The Hopf algebra of symmetric functions -- 3.2.3. The λ-ring notation -- 3.2.4. Symmetric functions and formal power series
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| 938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL6817980
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| 994 |
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|a 92
|b IZTAP
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