Yoshihiro TAKEYAMA

Last updated: Aug 25, 2014 at 11:41
Yoshihiro TAKEYAMA
University of Tsukuba
Graduate School of Pure and Applied Sciences
Job title
Doctor (Science)


[Research field]
Mathematical Physics: Study on representation theory, difference equations, special functions and combinatorics arising from quantum integrable systems.

What's new

02/01 13:32

Academic & Professional Experience

Nov 2011
Associate Professor, University of Tsukuba, Faculty of Pure and Applied Sciences

Research Interests


Research Areas


Books etc

化学同人   Apr 2011   ISBN:4759813381


Yoshihiro Takeyama
   Jul 2014
We introduce a deformation of the affine Hecke algebra of type GL which
describes the commutation relations of the divided difference operators found
by Lascoux and Schutzenberger and the multiplication operators. Making use of
its representation ...
Yoshihiro Takeyama
   Sep 2012
We consider an eigenvalue problem for a discrete analogue of the Hamiltonian
of the non-ideal Bose gas with delta-potentials on a circle. It is a
two-parameter deformation of the discrete Hamiltonian for joint moments of the
partition function of ...
Jun-ichi Okuda,Yoshihiro Takeyama
   Feb 2004
We prove some relations for the Tex-multiple zeta values (TexMZV). They are
Tex-analogues of the cyclic sum formula, the Ohno relation and the Ohno-Zagier
relation for the multiple zeta values (MZV). We discuss the problem to
determine the dimensi...

Published Papers

Yoshihiro Takeyama
9    Oct 2013   [Refereed]
We introduce an algebra which describes the multiplication structure of a
family of q-series containing a q-analogue of multiple zeta values. The double
shuffle relations are formulated in our framework. They contain a q-analogue of
Hoffman's iden...
Yoshihiro Takeyama
Ramanujan J.   27(1) 15-28   Jan 2012   [Refereed]
We obtain a class of quadratic relations for a q-analogue of multiple zeta values (qMZV's). In the limit q->1, it turns into Kawashima's relation for multiple zeta values. As a corollary we find that qMZV's satisfy the linear relation contained in...
Yoshihiro Takeyama
Symmetries, integrable systems and representations, Springer Proc. Math. Stat.   40 561-573   2013   [Refereed]
We prove a new linear relation for a q-analogue of multiple zeta values. It
is a q-extension of the restricted sum formula obtained by Eie, Liaw and Ong
for multiple zeta values.
Yoshihiro Takeyama
Proc. Amer. Math. Soc.   137(9) 2997-3002   2009   [Refereed]
Yoshihiro Takeyama
Proceedings of the Infinite Analysis 09 -- New Trends in Quantum Integrable Systems   421-450   Nov 2010   [Refereed]
We give differential equations compatible with the rational qKZ equation with
boundary reflection. The total system contains the trigonometric degeneration
of the bispectral qKZ equation of type Tex which in the case
of type $G...


"Michio Jimbo and Tetsuji Miwa Awarded the Dannie Heineman Prize for Mathematical Physics"
Yoshihiro TAKEYAMA
Asian Pacific Math Newsletter, October 2013, Issue No. 4

Conference Activities & Talks

Yoshihiro TAKEYAMA
From Macdonald Processes to Hecke Algebras and Quantum Integrable Systems   28 May 2014   
A discrete analogue of periodic delta Bose gas and affine Hecke algebra
Yoshihiro TAKEYAMA
17 Mar 2014   
Yoshihiro TAKEYAMA
JSPS-NWO Seminar: Analysis, Geometry and Group Representations for Homogeneous Spaces   27 Aug 2013   
Yoshihiro TAKEYAMA
nfinite Analysis 11 - Frontier of Integrability -   Jul 2011   
Differential equations compatible with boundary rational qKZ equations
Yoshihiro TAKEYAMA
New trends in quantum integrable systems   Jul 2009