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math.QA2016
Weak Hopf algebras and the distribution of involutions in symmetric groups
Takahiro Hayashi
By computing Frobenius-Schur indicators of modules of certain weak Hopf algebras, we give a formula for the number of involutions in symmetric groups, which are contained in a give…
math.QA1999★ 19 cited
Face algebras and unitarity of SU(N)_L-TQFT
Takahiro Hayashi
Using face algebras (i.e. algebras of L-operators of IRF models), we construct modular tensor categories with positive definite inner product, whose fusion rules and S-matrices are…
math.QA1999★ 1 cited
Coribbon Hopf (face) algebras generated by lattice models
Takahiro Hayashi
By studying ``points of the underlying quantum groups''of coquasitriangular Hopf (face) algebras, we construct ribbon categories for each lattice models without spectral parameter…