Reconstructing monoidal categories

Unitarizability of premodular categories

“…Unfortunately a classification for fusion categories of Lie types E N , F 4 or G 2 (in the spirit of the type A − D classifications, see [8,16]) does not exist, making such a strengthening problematic (at least from our approach). (2) It is desirable to have more conceptual explanation of Theorems 3.4, 3.6 and 3.8.…”

Integration over Compact Quantum Groups

“…where q > 0 is the usual deformation parameter, and where τ = ±1 is the twist, constructed by Kazhdan and Wenzl in [12]. In particular the value µ = −1 corresponds to the values q = 1 and τ = −1.…”

Frobenius algebras in tensor categories and bimodule extensions

“…A block system of algebra is called a monoidal algebra according to Kazhdan and Wenzl [4] (though they use this terminology in a more restricted meaning) if it is furnished with the operation of taking tensor products which satisfies the above conditions.…”