Book contents
- Frontmatter
- Contents
- Preface
- 1 Coalgebras, bialgebras and Hopf algebras. Uq(b+)
- 2 Dual pairing. SLq(2). Actions
- 3 Coactions. Quantum plane A2q
- 4 Automorphism quantum groups
- 5 Quasitriangular structures
- 6 Roots of unity. uq(sl2)
- 7 q-Binomials
- 8 Quantum double. Dual-quasitriangular structures
- 9 Braided categories
- 10 (Co)module categories. Crossed modules
- 11 q-Hecke algebras
- 12 Rigid objects. Dual representations. Quantum dimension
- 13 Knot invariants
- 14 Hopf algebras in braided categories. Coaddition on A2q
- 15 Braided differentiation
- 16 Bosonisation. Inhomogeneous quantum groups
- 17 Double bosonisation. Diagrammatic construction of uq(sl2)
- 18 The braided group uq(n+). Construction of uq(g)
- 19 q-Serre relations
- 20 R-matrix methods
- 21 Group, algebra, Hopf algebra factorisations. Bicrossproducts
- 22 Lie bialgebras. Lie splittings. Iwasawa decomposition
- 23 Poisson geometry. Noncommutative bundles. q-Sphere
- 24 Connections. q-Monopole. Nonuniversal differentials
- Problems
- Bibliography
- Index
21 - Group, algebra, Hopf algebra factorisations. Bicrossproducts
Published online by Cambridge University Press: 18 January 2010
Book contents
- Frontmatter
- Contents
- Preface
- 1 Coalgebras, bialgebras and Hopf algebras. Uq(b+)
- 2 Dual pairing. SLq(2). Actions
- 3 Coactions. Quantum plane A2q
- 4 Automorphism quantum groups
- 5 Quasitriangular structures
- 6 Roots of unity. uq(sl2)
- 7 q-Binomials
- 8 Quantum double. Dual-quasitriangular structures
- 9 Braided categories
- 10 (Co)module categories. Crossed modules
- 11 q-Hecke algebras
- 12 Rigid objects. Dual representations. Quantum dimension
- 13 Knot invariants
- 14 Hopf algebras in braided categories. Coaddition on A2q
- 15 Braided differentiation
- 16 Bosonisation. Inhomogeneous quantum groups
- 17 Double bosonisation. Diagrammatic construction of uq(sl2)
- 18 The braided group uq(n+). Construction of uq(g)
- 19 q-Serre relations
- 20 R-matrix methods
- 21 Group, algebra, Hopf algebra factorisations. Bicrossproducts
- 22 Lie bialgebras. Lie splittings. Iwasawa decomposition
- 23 Poisson geometry. Noncommutative bundles. q-Sphere
- 24 Connections. q-Monopole. Nonuniversal differentials
- Problems
- Bibliography
- Index
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- A Quantum Groups Primer , pp. 132 - 138Publisher: Cambridge University PressPrint publication year: 2002