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1. q-deformed integers derived from pairs of coprime integers and its applications, in "Low dimensional topology and number theory" (Springer Proc. Math. Stat. 456), edited by M. Morishita, H. Nakamura and J. Ueki, Springer, Singapore, 2025, 297—323.


2. (with T. Kogiso), A characterization of Conway-Coxeter friezes of zigzag type by rational links, Osaka J. Math. 59 (2022), 341—362.


3. Indecomposability of weak Hopf algebras, in: "Hopf algebras, tensor categories and related topics", edited by N. Andruskiewitsch, G. Liu, S. Montgomery and Y. Zhang, Contemp. Math. 771, Amer. Math. Soc., RI, 2021, 309—332.


4. (with T. Kogiso) A bridge between Conway-Coxeter friezes and rational tangles through the Kauffman bracket polynomials, J. Knot Theory Ramif. 28 (2019), 1950083, 40pp.


5. (with T. Kogiso) Kauffman bracket polynomials for Conway Coxeter Friezes, in: "Proceedings of the Meeting for Study of Number Theory, Hopf algebras and Related Topics" edited by H. Yamane, T. Kogiso, Y. Koga and I. Kimura, Yokohama Publ., 2019, 51—79.


6. Braided Morita equivalence for finite-dimensional semisimple and cosemisimple Hopf algebras, in: "Proceedings of the Meeting for Study of Number Theory, Hopf algebras and Related Topics" edited by H. Yamane, T. Kogiso, Y. Koga and I. Kimura, Yokohama Publ., 2019, 157—183.


7. (with K. Shimizu) Schrödinger representations from the viewpoint of monoidal categories, Algebras and Representation Theory 18 (2015), 1623—1647.


8. Triangular structures of Hopf algebras and tensor Morita equivalences, Revista de la Union Matematica Argentina 51 (2010), 193—210.


9.  Polynomial invariants for a semisimple and cosemisimple Hopf algebra of finite dimension, J. Pure Appl. Algebra 214 (2010), 701—728.


10. (with Y. Kawahigashi and N. Sato) (2+1)-dimensional topological quantum field theory from subfactors and Dehn surgery formula for 3-manifold invariant, Advans. in Math. 195 (2005), 165—204.


11. Various structures associated to the representation categories of eight-dimensional nonsemisimple Hopf algebras, Algebras and Representation Theory 7 (2004), 491—515; Erratum, Algebras and Representation Theory 12 (2009), 93—95.


12.  The coribbon structures of some finite dimensional braided Hopf algebras generated by 2×2-matrix coalgebras, Noncommutative geometry and quantum groups (Warsaw, 2001), 333—344, Banach Center Publ. 61, Polish Acad. Sci., Warsaw, 2003. 


13. (with N. Sato) Computations of Turaev-Viro-Ocneanu invariants of 3-manifolds from subfactors, J. Knot Theory Ramif. 12 (2003), 543—574.


14. (with N. Sato) (2+1)-dimensional topological quantum field theory with Verlinde basis and Turaev-Viro-Ocneanu invariants of 3-manifolds, Geometry and Topology Monographs 4 (2002), Invariants of knots and 3-manifolds (Kyoto 2001), 281—294.


15. (with K. Suzuki)  On Turaev-Viro-Ocneanu invariant of 3-manifolds derived from the E6-subfactor, Kyushu J. Math. 56 (2002), 59—81. 


16. Fusion algebras for orbifold models (a survey), in: "Topology, geometry and field theory", edited by K. Fukaya, M. Furuta, T. Kohno and D. Kotschick, World Scientific, 225—235, 1994.


17. On Dijkgraaf-Witten invariant for 3-manifolds, Osaka J. Math. 29 (1992), 675—696.

 

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