Katsuhisa Mimachi

Representations of the quantum group SUq(2) and the little q-Jacobi polynomials

Tetsuya Masuda, Katsuhisa Mimachi, Yoshiomi Nakagami et al. · Journal of Functional Analysis · 1991 · 125 citations

Spectral Theory, Quantum Groups, Representation Theory +10

Finite dimensional representations of the quantum group GL<sub>q</sub>(n; C) and the zonal spherical functions on U<sub>q</sub>(n-1)_??_U<sub>q</sub>(n)

Masatoshi Noumi, Hirofumi Yamada, Katsuhisa Mimachi · Japanese journal of mathematics · 1993 · 108 citations · Full text

Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials

Katsuhisa Mimachi, Yasuhiko Yamada · Communications in Mathematical Physics · 1995 · 101 citations

Schubert Calculus, Jack Symmetric Polynomials, Representation Theory +3

Unitary representations of the quantum group SU q (1,1): Structure of the dual space ofU q (sl(2))

Tetsuya Masuda, Katsuhisa Mimachi, Yoshiomi Nakagami et al. · Letters in Mathematical Physics · 1990 · 89 citations

Quantum Science, Lie Group, Quantum Groups +9

Quantum 2-spheres and bigq-Jacobi polynomials

Masatoshi Noumi, Katsuhisa Mimachi · Communications in Mathematical Physics · 1990 · 86 citations

Quantum Science, Engineering, Physics +5