Book contents
- Frontmatter
- Contents
- Introduction
- 1 Revision of basic structures
- 2 Duality between geometry and algebra
- 3 The quantum general linear group
- 4 Modules and tensor products
- 5 Cauchy modules
- 6 Algebras
- 7 Coalgebras and bialgebras
- 8 Dual coalgebras of algebras
- 9 Hopf algebras
- 10 Representations of quantum groups
- 11 Tensor categories
- 12 Internal homs and duals
- 13 Tensor functors and Yang–Baxter operators
- 14 A tortile Yang–Baxter operator for each finite–dimensional vector space
- 15 Monoids in tensor categories
- 16 Tannaka duality
- 17 Adjoining an antipode to a bialgebra
- 18 The quantum general linear group again
- 19 Solutions to Exercises
- References
- Index
8 - Dual coalgebras of algebras
Published online by Cambridge University Press: 15 December 2009
Book contents
- Frontmatter
- Contents
- Introduction
- 1 Revision of basic structures
- 2 Duality between geometry and algebra
- 3 The quantum general linear group
- 4 Modules and tensor products
- 5 Cauchy modules
- 6 Algebras
- 7 Coalgebras and bialgebras
- 8 Dual coalgebras of algebras
- 9 Hopf algebras
- 10 Representations of quantum groups
- 11 Tensor categories
- 12 Internal homs and duals
- 13 Tensor functors and Yang–Baxter operators
- 14 A tortile Yang–Baxter operator for each finite–dimensional vector space
- 15 Monoids in tensor categories
- 16 Tannaka duality
- 17 Adjoining an antipode to a bialgebra
- 18 The quantum general linear group again
- 19 Solutions to Exercises
- References
- Index
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- Quantum GroupsA Path to Current Algebra, pp. 47 - 50Publisher: Cambridge University PressPrint publication year: 2007