Self-inverse Yang-Baxter operators from (co)algebra structures. (English) Zbl 0944.16033
The author associates a solution \(R\colon V\otimes V\to V\otimes V\) of the braid equation to any (co)algebra structure on the vector space \(V\). The relation between two (co)algebra structures producing the same solution \(R\) is determined. An internal characterization for solutions associated to (co)algebra structures is given. We note that the construction of the solution \(R\) arising from an algebra structure has been given by P. Nuss [K-Theory 12, No. 1, 23-74 (1997; Zbl 0884.18015)].
Reviewer: Sorin Dascalescu (Bucureşti)
MSC:
| 16W30 | Hopf algebras (associative rings and algebras) (MSC2000) |
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
| 16W35 | Ring-theoretic aspects of quantum groups (MSC2000) |
Citations:
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