nLab Masatoshi Noumi

Selected works

Selected works

  • Anatol N. Kirillov, Masatoshi Noumi, Affine Hecke algebras and raising operators for Macdonald polynomials, Duke Math. J. 93 (1998), no. 1, 1–39, MR99j:05189a, doi

On a version of Robinson–Schensted–Knuth correspondence,

  • Masatoshi Noumi, Yasuhiko Yamada, Tropical Robinson–Schensted–Knuth correspondence and birational Weyl group actions, in: Representation Theory of Algebraic Groups and Quantum Groups, in: Adv. Stud. Pure Math. 40, Math. Soc. Japan, Tokyo, 2004, pp. 371–442

On an early version of quantum analogue of Borel–Weil theorem in type AA

  • Masatoshi Noumi, Hirofumi Yamada, K. Mimachi, Finite-dimensional representations of the quantum group GL q(n;)GL_q(n;\mathbb{C}) and the zonal spherical functions on U q(n1)\U q(n)U_q(n-1)\backslash U_q(n), Japan. J. Math. (N.S.) 19(1), 31–80 (1993) doi

On Askey–Wilson polynomials

  • Masatoshi Noumi, J.V. Stokman: Askey-Wilson polynomials: an affine Hecke algebra approach, in Laredo Lectures on Orthogonal Polynomials and Special Functions (R.Alvarez-Nodarse, F.Marcellan and W.Van Assche, Eds), pp. 111–144, Nova Science Publishers, 2004. math.QA/0001033
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