03818nam 22005535 450 99650354970331620230515101321.09783031238178(electronic bk.)978303123816110.1007/978-3-031-23817-8(MiAaPQ)EBC7165631(Au-PeEL)EBL7165631(CKB)25913865400041(DE-He213)978-3-031-23817-8(PPN)267817436(EXLCZ)992591386540004120221230d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierIntroduction to Quantum Groups[electronic resource] /by Teo Banica1st ed. 2022.Cham :Springer Nature Switzerland :Imprint: Springer,2022.1 online resource (428 pages)Print version: Banica, Teo Introduction to Quantum Groups Cham : Springer,c2023 9783031238161 Includes bibliographical references and index.Part I. Quantum groups -- Chapter 1. Quantum spaces -- Chapter 2. Quantum groups -- Chapter 3. Representation theory -- Chapter 4. Tannakian duality -- Part II. Quantum rotations -- Chapter 5. Free rotations -- Chapter 6. Unitary groups -- Chapter 7. Easiness, twisting -- Chapter 8. Probabilistic aspects -- Part III. Quantum permutations -- Chapter 9. Quantum permutations -- Chapter 10. Quantum reflections -- Chapter 11. Classification results -- Chapter 12. The standard cube -- Part IV. Advanced topics -- Chapter 13. Toral subgroups -- Chapter 14. Amenability, growth -- Chapter 15. Homogeneous spaces -- Chapter 16. Modelling questions -- Bibliography -- Index.This book introduces the reader to quantum groups, focusing on the simplest ones, namely the closed subgroups of the free unitary group. Although such quantum groups are quite easy to understand mathematically, interesting examples abound, including all classical Lie groups, their free versions, half-liberations, other intermediate liberations, anticommutation twists, the duals of finitely generated discrete groups, quantum permutation groups, quantum reflection groups, quantum symmetry groups of finite graphs, and more. The book is written in textbook style, with its contents roughly covering a one-year graduate course. Besides exercises, the author has included many remarks, comments and pieces of advice with the lone reader in mind. The prerequisites are basic algebra, analysis and probability, and a certain familiarity with complex analysis and measure theory. Organized in four parts, the book begins with the foundations of the theory, due to Woronowicz, comprising axioms, Haar measure, Peter–Weyl theory, Tannakian duality and basic Brauer theorems. The core of the book, its second and third parts, focus on the main examples, first in the continuous case, and then in the discrete case. The fourth and last part is an introduction to selected research topics, such as toral subgroups, homogeneous spaces and matrix models. Introduction to Quantum Groups offers a compelling introduction to quantum groups, from the simplest examples to research level topics.MathematicsOperator theoryMathematicsOperator TheoryGrups quànticsthubLlibres electrònicsthubMathematics.Operator theory.Mathematics.Operator Theory.Grups quàntics512.55Banica Teo1274070MiAaPQMiAaPQMiAaPQ996503549703316Introduction to Quantum Groups3002287UNISA02997nam 2200661I 450 991101932310332120241125180236.097804717220520-471-99814-10-471-72203-01-280-27331-397866102733170-470-31494-X0-471-72205-7(CKB)1000000000019053(EBL)224927(OCoLC)475932089(SSID)ssj0000261759(PQKBManifestationID)11216021(PQKBTitleCode)TC0000261759(PQKBWorkID)10257765(PQKB)10216169(MiAaPQ)EBC224927(PPN)15181967X(EXLCZ)99100000000001905320020128d2002 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierTransport phenomena and unit operations a combined approach /Richard G. GriskeyNew York :Wiley-Interscience,[2002].1 online resource (462 pages)Description based upon print version of record.9780471438199 0-471-48100-9 0-471-43819-7 Includes bibliographical references and index.TRANSPORT PHENOMENA AND UNIT OPERATIONS; CONTENTS; Preface; Chapter 1 Transport Processes and Transport Coefficients; Chapter 2 Fluid Flow Basic Equations; Chapter 3 Frictional Flow in Conduits; Chapter 4 Complex Flows; Chapter 5 Heat Transfer; Conduction; Chapter 6 Free and Forced Convective Heat Transfer; Chapter 7 Complex Heat Transfer; Chapter 8 Heat Exchangers; Chapter 9 Radiation Heat Transfer; Chapter 10 Mass Transfer; Molecular Diffusion; Chapter 11 Convective Mass Transfer Coefficients; Chapter 12 Equilibrium Staged Operations; Chapter 13 Additional Staged OperationsChapter 14 Mechanical SeparationsAppendix A; Appendix B; Appendix C; Appendix References; Index;The subject of transport phenomena has long been thoroughly and expertly addressed on the graduate and theoretical levels. Now Transport Phenomena and Unit Operations: A Combined Approach endeavors not only to introduce the fundamentals of the discipline to a broader, undergraduate-level audience but also to apply itself to the concerns of practicing engineers as they design, analyze, and construct industrial equipment.Transport theoryChemical engineeringTransport, Teoria dellemacTransport theory.Chemical engineering.Transport, Teoria del660.2842660/.2842Griskey Richard G.1931-21707MiAaPQMiAaPQMiAaPQBOOK9911019323103321Transport phenomena and unit operations4416154UNINA