@book{CTT100406664,
  author = {堀田良之 and 渡辺敬一 and 庄司俊明 and 三町勝久},
  title = {代数学百科 I「群論の進化」},
  publisher = {朝倉書店},
  year = 2004,
}

@article{CTT100408367,
  author = {K. Mimachi and T.Takamuki},
  title = {A generalization of the Beta integral arising from the Knizhnik-Zamolodchikov equation for the vector representations of types B<sub>n, C</sub>n and D_n},
  journal = {Kyushu J. Math.},
  year = 2005,
}

@article{CTT100408369,
  author = {K. Mimachi},
  title = {Homological representations of the Iwahori-Hecke algebra associated with a Selberg type integral},
  journal = {International Mathematics Research Notices},
  year = 2005,
}

@article{CTT100408366,
  author = {K. Mimachi and M.Yoshida},
  title = {Intersection numbers of twisted cycles associated with the Selberg integral and an application to the conformal field theory},
  journal = {Commun. Math. Phys},
  year = 2004,
}

@article{CTT100406663,
  author = {K. Mimachi and K.Ohara and M.Yoshida},
  title = {Intersection numbers for loaded cycles associated with Selberg integrals},
  journal = {Tohoku Math. J .},
  year = 2004,
}

@article{CTT100406658,
  author = {K. Mimachi and M.Yoshida},
  title = {The reciplocity relation of the Selberg function},
  journal = {J. Computational and Applied Math.},
  year = 2003,
}

@article{CTT100408359,
  author = {K. Mimachi and M.Yoshida},
  title = {Intersection numbers of twisted cycles and the correlation functions of the conformal field theory},
  journal = {Commun. Math. Phys.},
  year = 2003,
}

@article{CTT100408364,
  author = {K. Mimachi and H. Ochiai and M.Yoshida},
  title = {Intersection theory for loaded cycles IV -- resonant cases},
  journal = {Math. Nachr.},
  year = 2003,
}

@article{CTT100538223,
  author = {Katsuhisa Mimachi},
  title = {A duality of the Macdonald-Koornwinder polynomials and its application to the integral representations},
  journal = {Duke Math. J.},
  year = 2001,
}

@article{CTT100538222,
  author = {Katsuhisa Mimachi},
  title = {Askey-Wilson polynomials by means of a $q$-Selberg type integral},
  journal = {Adv. in Math.},
  year = 1999,
}

@article{CTT100538221,
  author = {Katsuhisa Mimachi},
  title = {Integral representations of the Wilson polynomials and the continuous dual Hahn polynomials},
  journal = {Adv. in Appl. Math.},
  year = 1999,
}

@article{CTT100538220,
  author = {Katsuhisa Mimachi},
  title = {A multidimensional generalization of the Barnes integral and the continuous Hahn polynomial},
  journal = {J. Math. Anal. and Appl.},
  year = 1999,
}

@article{CTT100538219,
  author = {Katsuhisa Mimachi},
  title = {Barnes type integral and the Meixner-Pollaczek polynomials},
  journal = {Lett. Math. Phys.},
  year = 1999,
}

@article{CTT100538218,
  author = {Katsuhisa Mimachi},
  title = {Eigenfunctions of Macdonald's $q$-difference operator for the root system of type $C_n\;$},
  journal = {J. Funct. Anal.},
  year = 1999,
}

@article{CTT100538214,
  author = {Katsuhisa Mimachi},
  title = {A reproducing kernel for nonsymmetric Macdonald polynomials},
  journal = {Duke Math. J.},
  year = 1998,
}

@article{CTT100538215,
  author = {Katsuhisa Mimachi},
  title = {The little $q$-Jacobi polynomial associated with a $q$-Selberg integral},
  journal = {Funkt. Ekvac.},
  year = 1998,
}

@article{CTT100538216,
  author = {Katsuhisa Mimachi},
  title = {A new derivation of the inner product formula for the Macdonald symmetric polynomials},
  journal = {Composit. Math.},
  year = 1998,
}

@article{CTT100538217,
  author = {Katsuhisa Mimachi},
  title = {A solution of the quantum Knizhnik Zamolodchikov equation of type $C_n\;$},
  journal = {Commun. Math. Phys.},
  year = 1998,
}

@article{CTT100538213,
  author = {Katsuhisa Mimachi},
  title = {An integral representation of eigenfunctions for Macdonald's $q$-difference operators},
  journal = {Tohoku Math. J.},
  year = 1997,
}

@article{CTT100463453,
  author = {Katsuhisa Mimachi},
  title = {A solution to quantum Knizhnik-Zamolodchikov equations and its application to eigenvalue problems of Macdonald type},
  journal = {Duke Math. J.},
  year = 1996,
}

@article{CTT100538212,
  author = {Katsuhisa Mimachi},
  title = {Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials},
  journal = {Commun. Math. Phys.},
  year = 1995,
}

@article{CTT100538211,
  author = {Katsuhisa Mimachi},
  title = {A hypergeometric integral attached to the configuration of the mirrors of the reflection group $S<sub>{n+2}$ acting on  $P</sub>n$},
  journal = {Kyushu J. Math.},
  year = 1995,
}

@article{CTT100538210,
  author = {Katsuhisa Mimachi},
  title = {An integral representation of the solution of a fourth order Fuchsian differential equation of Okubo type},
  journal = {Funkt. Ekvac.},
  year = 1995,
}

@article{CTT100538207,
  author = {Katsuhisa Mimachi},
  title = {Holonomic $q$-difference system of the first order associated with a Jackson integral of Selberg type},
  journal = {Duke Math. J.},
  year = 1994,
}

@article{CTT100538208,
  author = {Katsuhisa Mimachi},
  title = {One-point functions for the XXZ model and Ramanujan's $<sub>1\Psi</sub>1$ sum},
  journal = {J. Phys. A: Math. Gen.},
  year = 1994,
}

@article{CTT100538209,
  author = {Katsuhisa Mimachi},
  title = {Macdonald's operator from the center of the quantized universal enveloping algebra $U_q(gl(N))$},
  journal = {International Mathematics Research Notices},
  year = 1994,
}

@article{CTT100538205,
  author = {Katsuhisa Mimachi},
  title = {Holonomic $q$-difference system associated with the basic hypergeometric series $<sub>{n+1}\varphi</sub>n\,$},
  journal = {Tohoku Math. J.},
  year = 1993,
}

@article{CTT100538204,
  author = {Katsuhisa Mimachi},
  title = {Finite dimensional representations of the quantum group $GL<sub>q(n;C)$ and the zonal spherical functions on $U</sub>q(n-1)/U_q(n)$},
  journal = {Japanese J. Math.},
  year = 1993,
}

@article{CTT100538206,
  author = {Katsuhisa Mimachi},
  title = {Reducibility and irreducibility of the Gauss-Manin system associated with a Selberg type integral},
  journal = {Nagoya Math. J.},
  year = 1993,
}

@article{CTT100538203,
  author = {Katsuhisa Mimachi},
  title = {A solution of Yang-Baxter equation as connection coefficients of a holonomic $q$-difference system},
  journal = {Duke Math. J.},
  year = 1992,
}

@article{CTT100538202,
  author = {Katsuhisa Mimachi},
  title = {Spherical functions on a family of quantum 3-spheres},
  journal = {Composit. Math.},
  year = 1992,
}

@article{CTT100463435,
  author = {Katsuhisa Mimachi},
  title = {Askey-Wilson polynomials as spherical functions on SU_q(2)},
  journal = {Lecture Notes in Math.},
  year = 1992,
}

@article{CTT100464650,
  author = {Katsuhisa Mimachi},
  title = {Representation of the quantum group $SU_q(2)$  and the little $q$-Jacobi polynomials},
  journal = {J. Funct. Anal.},
  year = 1991,
}

@article{CTT100538201,
  author = {Katsuhisa Mimachi},
  title = {Rogers' $q$-ultraspherical polynomials on a quantum 2-sphere},
  journal = {Duke Math. J.},
  year = 1991,
}

@article{CTT100538196,
  author = {Katsuhisa Mimachi},
  title = {Unitary representations of the quantum group $SU<sub>q(1,1)$: Structure of the dual Space of $U</sub>q(sl(2))$},
  journal = {Lett. Math.Phys.},
  year = 1990,
}

@article{CTT100538198,
  author = {Katsuhisa Mimachi},
  title = {Quantum 2-spheres and big $q$-Jacobi polynomials},
  journal = {Commun. Math. Phys.},
  year = 1990,
}

@article{CTT100538199,
  author = {Katsuhisa Mimachi},
  title = {Big $q$-Jacobi polynomials, $q$-Hahn polynomials and a family of quantum 3-spheres},
  journal = {Lett. Math. Phys.},
  year = 1990,
}

@article{CTT100538200,
  author = {Katsuhisa Mimachi},
  title = {Askey-Wilson polynomials and the quantum group $SU_q (2)$},
  journal = {Proc. Japan Acad.},
  year = 1990,
}

@article{CTT100464649,
  author = {T.Masuda and K. Mimachi and Y.Nakagami and M.Noumi and Y. Saburi and K.Ueno},
  title = {Matrix elements of unitary representations of the quantum group $SU_q(1,1)$ and the basic hypergeometric functions},
  journal = {Differential geometric methods in theoretical physics},
  year = 1990,
}

@article{CTT100538195,
  author = {Katsuhisa Mimachi},
  title = {Representation of quantum groups},
  journal = {Progress in Math},
  year = 1990,
}

@article{CTT100538197,
  author = {Katsuhisa Mimachi},
  title = {Unitary representations of the quantum group $SU_q(1,1)$:II-Matrix elements of Unitary representations and the basic hypergeometric functions},
  journal = {Lett. Math. Phys.},
  year = 1990,
}

@article{CTT100538194,
  author = {Katsuhisa Mimachi},
  title = {Zonal spherical functions on the quantum homogeneous space $SU<sub>q(n+1)/SU</sub>q(n)$},
  journal = {Proc. Japan Acad},
  year = 1989,
}

@article{CTT100538193,
  author = {Katsuhisa Mimachi},
  title = {Connection problem in holonomic $q$-difference system associated with a Jackson integral of Jordan-Pochhammer type},
  journal = {Nagoya Math. J},
  year = 1989,
}

@article{CTT100538192,
  author = {Katsuhisa Mimachi},
  title = {Representations of the quantum groups and a q-analogue of orthogonal polynomials},
  journal = {C.R. Acad. Sci. Paris},
  year = 1988,
}

@article{CTT100538191,
  author = {Katsuhisa Mimachi},
  title = {A proof of Ramanujan's identity by use of loop integrals},
  journal = {SIAM J. Math. Anal.},
  year = 1988,
}

@misc{CTT100595834,
  author = {Katsuhisa Mimachi},
  title = {Reducibility and irreducibility of the Gauss-Manin system associated with a Selberg type integral},
  year = 1993,
}



@phdthesis{CTT100595834,
  author = {Katsuhisa Mimachi},
  title = {Reducibility and irreducibility of the Gauss-Manin system associated with a Selberg type integral},
  school = {名古屋大学},
  year = 1993,
}