Masahiro Kasatani

J-GLOBAL         Last updated: Oct 27, 2019 at 14:34
Masahiro Kasatani
National Institute of Technology,Toyama College
General Education

Published Papers

Masahiro Kasatani
New Trends in Quantum Integrable Systems   157-171   2011   [Refereed]
M. Kasatani, V. Pasquier
Communications in Mathematical Physics   276 397-435   Dec 2007   [Refereed]
We obtain a family of polynomials defined by vanishing conditions and associated to tangles. We study more specifically the case where they are related to a O(n) loop model. We conjecture that their specializations at z i = 1 are positive in n. At...
Masahiro Kasatani, Yoshihiro Takeyama
Funkcialaj Ekvacioj   50 491-509   Jan 2007   [Refereed]
We construct special solutions of the quantum Knizhnik-Zamolodchikov equation on the tensor product of the vector representation of the quantum algebra of type An-1. They are constructed from non-symmetric Macdonald polynomials through the action ...
Coincident root loci and Jack and Macdonald polynomials for special values of the parameters
Kasatani M., Miwa T., Sergeev A. N., Veselov A. P.
Masahiro Kasatani
Compositio Mathematica   141 1589-1601   Nov 2005   [Refereed]
A characterization of the space of symmetric Laurent polynomials of type (BC)n, which vanish on a certain set of submanifolds, is given by using the Koornwinder-Macdonald polynomials. A similar characterization was given previously for symmetric p...

Conference Activities & Talks

Proofs without Words --- a D.I.Y. approach to power sums
Masahiro Kasatani
Meeting of number theory, ring theory, Hopf algebra theory and related topics   23 Feb 2019