A quantum groups primer / Shahn Majid.
Material type:
TextSeries: London Mathematical Society lecture note series ; 292.Publication details: Cambridge ; New York : Cambridge University Press, 2002.Description: 1 online resource (x, 169 pages)Content type: - text
- computer
- online resource
- 9781107360754
- 1107360757
- 9780511549892
- 051154989X
- 9781107365667
- 110736566X
- 1139881426
- 9781139881425
- 1299403484
- 9781299403482
- 1107363209
- 9781107363205
- 530.14/3 22
- QC174.17.G7 M26 2002eb
- 31.21
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Electronic-Books
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OPJGU Sonepat- Campus | E-Books EBSCO | Available |
Includes bibliographical references (page 166) and index.
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.
Print version record.
Self-contained introduction to quantum groups as algebraic objects, suitable as a textbook for graduate courses.
English.
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