Moore-Seiberg data

Moore–Seiberg data are structure constants for a modular tensor category, seen as a Frobenius algebra in the 2-category of Vect kVect_k-enriched abelian categories. More explicitely, Moore–Seiberg data for the modular tensor category 𝒞\mathcal{C} are the collections of kk-vector spaces

X 1,,X n=Hom 𝒞(1,X 1X n), \langle X_1,\dots,X_n\rangle=Hom_\mathcal{C}(\mathbf{1},X_1\otimes\cdots\otimes X_n),

where 1\mathbf{1} is the unit object of 𝒞\mathcal{C}.


Bojko Bakalov and Alexander Kirillov, Lectures on Tensor Categories and Modular Functors, University Lecture Series 21, AMS.

Gregory Moore and Nathan Seiberg, Classical and quantum conformal field theory, Comm. Math. Phys. 123 (1989), 177–254.

Last revised on June 8, 2010 at 17:22:18. See the history of this page for a list of all contributions to it.