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Article Dans Une Revue Letters in Mathematical Physics Année : 2012

Braidings of Tensor Spaces

Résumé

Let $V$ be a braided vector space, that is, a vector space together with a solution $\hat{R}\in {\text{End}}(V\otimes V)$ of the Yang--Baxter equation. Denote $T(V):=\bigoplus_k V^{\otimes k}$. We associate to $\hat{R}$ a solution $T(\hat{R})\in {\text{End}}(T(V)\otimes T(V))$ of the Yang--Baxter equation on the tensor space $T(V)$. The correspondence $\hat{R}\rightsquigarrow T(\hat{R})$ is functorial with respect to $V$.

Dates et versions

hal-00473356 , version 1 (15-04-2010)

Identifiants

Citer

T. Grapperon, O. V. Ogievetsky. Braidings of Tensor Spaces. Letters in Mathematical Physics, 2012, 100 (1), pp.17-28. ⟨10.1007/s11005-011-0533-6⟩. ⟨hal-00473356⟩
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