19 citations · 21 across the 4 of their papers we have counts for
4 papers
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…
A decomposition rule for certain tensor product representations of the symmetric groups
Takahiro Hayashi
In this paper, we give a combinatorial rule to calculate the decomposition of the tensor product (Kronecker product) of two irreducible complex representations of the symmetric gro…
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…
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…