| Document Type
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BL
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| Record Number
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1046143
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| Doc. No
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b800513
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| Main Entry
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Majid, Shahn.
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| Title & Author
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A quantum groups primer /\ Shahn Majid.
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| Publication Statement
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Cambridge ;New York :: Cambridge University Press,, 2002.
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| Series Statement
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London Mathematical Society lecture note series ;; 292
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| Page. NO
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1 online resource (x, 169 pages)
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| ISBN
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051154989X
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: 1107360757
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: 1107363209
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: 110736566X
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: 1139881426
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: 1299403484
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: 9780511549892
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: 9781107360754
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: 9781107363205
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: 9781107365667
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: 9781139881425
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: 9781299403482
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0521010411
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9780521010412
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| Bibliographies/Indexes
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Includes bibliographical references (page 166) and index.
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| Contents
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Coalgebras, bialgebras and Hopf algebras. Uq(b+) -- Dual pairing. SLq(2). Actions -- Coactions. Quantum plane A2q -- Automorphism quantum groups -- Quasitriangular structures -- Roots of Unity. uq(sl2) -- q-Binomials -- Quantum double. Dual-quasitriangular structures -- Braided categories -- (Co)module categories. Crossed modules -- q-Hecke algebras -- Rigid objects. Dual representations. Quantum dimension -- Knot invariants -- Hopf algebras in braided categories -- Braided differentiation -- Bosonisation. Inhomogeneous quantum groups -- Double bosonisation. Diagrammatic construction of uq(sl2) -- The braided group Uq(n- ). Construction of Uq(g) -- q-Serre relations -- R-matrix methods -- Group algebra, Hopf algebra factorisations. Bicrossproducts -- Lie bialgebras. Lie splittings. Iwasawa decomposition -- Poisson geometry. Noncommutative bundles. q-Sphere -- Connections. q-Monopole. Nonuniversal differentials.
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| Abstract
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Self-contained introduction to quantum groups as algebraic objects, suitable as a textbook for graduate courses.
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| Subject
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Quantum groups.
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Groupes quantiques.
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Álgebras de lie.
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Grupos quânticos.
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Quantengruppe
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Quantum groups.
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SCIENCE-- Waves Wave Mechanics.
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Groepen (wiskunde)
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Kwantumgroepen.
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| Dewey Classification
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530.14/3
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| LC Classification
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QC174.17.G7M26 2002eb
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| NLM classification
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31.21bcl
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