Abstract
This is an informal introduction to the theory of quasitriangular Hopf algebras and its connections with physics. Basic properties and applications of Hopf algebras and Yang-Baxter equations are reviewed, with the quantum group U q (sl 2 ) as a frequent example. The development builds up to the representation theory of quasitriangular Hopf algebras. Much of the abstract representation theory is new, including a formula for the rank of a representation.
Keywords
Quasitriangular Hopf algebraHopf algebraQuantum groupRepresentation theory of Hopf algebrasRepresentation (politics)Rank (graph theory)Pure mathematicsRepresentation theoryPhysicsMathematicsAlgebra over a fieldAlgebra representationDivision algebraCombinatoricsLawPolitical science
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Publication Info
- Year
- 1990
- Type
- article
- Volume
- 05
- Issue
- 01
- Pages
- 1-91
- Citations
- 391
- Access
- Closed
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Cite This
Shahn Majid
(1990).
QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS.
International Journal of Modern Physics A
, 05
(01)
, 1-91.
https://doi.org/10.1142/s0217751x90000027
Identifiers
- DOI
- 10.1142/s0217751x90000027