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19992023
most citedHidden Grassmann Structure in the XXZ Model II: Creation Operators

134 citations · 620 across the 41 of their papers we have counts for

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math-ph2016★ 3 cited

On the eigenfunctions for the multi-species q-Boson system

Yoshihiro Takeyama

In a previous paper a multi-species version of the q-Boson stochastic particle system is introduced and the eigenfunctions of its backward generator are constructed by using a repr…

math-ph2015★ 14 cited

Algebraic construction of multi-species q-Boson system

Yoshihiro Takeyama

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 represent…

math-ph2014★ 21 cited

A deformation of affine Hecke algebra and integrable stochastic particle system

Yoshihiro Takeyama

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…

math-ph2012★ 3 cited

A discrete analogue of periodic delta Bose gas and affine Hecke algebra

Yoshihiro Takeyama

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 d…

math-ph2003★ 19 cited

Counting minimal form factors of the restricted sine-Gordon model

M. Jimbo, T. Miwa, Y. Takeyama

We revisit the issue of counting all local fields of the restricted sine-Gordon model, in the case corresponding to a perturbation of minimal unitary conformal field theory. The pr…

math-ph2002

Form factors of SU(N) invariant Thirring model

Yoshihiro Takeyama

We obtain a new integral formula for solutions of the rational quantum Knizhnik-Zamolodchikov equation associated with Lie algebra sl_{N} at level zero. Our formula contains the in…