Yoshihiro TAKEYAMA

Last updated: Sep 28, 2015 at 10:41
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.

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 2015
We construct a stochastic particle system which is a multi-species version of
the q-Boson system due to Sasamoto and Wadati. Its transition rate matrix is
obtained from a representation of a deformation of the affine Hecke algebra of
type GL.
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
J. Phys. A   47    Oct 2014   [Refereed]
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
Funkcial. Ekvac.   57(1) 107-118   Apr 2014   [Refereed]
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 ...
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.

Conference Activities & Talks

Yoshihiro TAKEYAMA
21 Aug 2015   
A deformation of affine Hecke algebra and integrable stochastic particle system
Yoshihiro TAKEYAMA
24 Mar 2015   
Yoshihiro TAKEYAMA
Aspects of Integrability in Mathematics and Physics   10 Mar 2015   
Yoshihiro TAKEYAMA
From Macdonald Processes to Hecke Algebras and Quantum Integrable Systems   28 May 2014   


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

Research Grants & Projects

Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(若手研究(B))
Project Year: 2008 - 2010    Investigator(s): Yoshiriro TAKEYAMA
We studied the rational quantum Knizhnik-Zamolodchikov (rational qKZ) equation, which is a difference equation playing an important role in the theory of massive integrable quantum field theories. We obtained special solutions and constructed a sy...