We construct a functor from a certain category of quantum semigroups to a ลฝ ลฝ .. category of quantum groups, which, for example, assigns Fun Mat N to q ลฝ ลฝ .. ลฝ . Fun GL N . Combining with a generalization of the Faddeevแ q ReshetikhinแTakhtadzhyan construction, we obtain quantum groups with univers
Quantum groups and quantum determinants
โ Scribed by Takahiro Hayashi
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 874 KB
- Volume
- 152
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
## Abstract In this paper, we study a special class of compact quantum groups, namely, the profinite quantum groups.
Let G be any discrete group. Consider the algebra A of all complex functions with finite support on G with pointwise operations. The multiplication on G ลฝ .ลฝ . ลฝ . induces a comultiplication โฌ on A by โฌ f p, q sf pq whenever f g A and p, q g G. If G is finite, one can identify the algebra of complex
The construction of the Drinfeld double D H of a finite dimensional Hopf algebra H was one of the first examples of a quasitriangular Hopf algebra whose category of modules M M is braided. The braided category of YetterแDrinfeld Dลฝ H . modules Y Y D D H is the analogue for infinite dimensional Hopf