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Geometry Colloquium
Seminar information archive ～05/02｜Next seminar｜Future seminars 05/03～
| Date, time & place | Friday 10:00 - 11:30 126Room #126 (Graduate School of Math. Sci. Bldg.) |
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2015/12/04
10:00-11:30 Room #126 (Graduate School of Math. Sci. Bldg.)
Yoshihiro Takeyama (Graduate School of Pure and Applied Sciences, University of Tsukuba)
The q-Boson system and a deformation of the affine Hecke algebra (Japanese)
Yoshihiro Takeyama (Graduate School of Pure and Applied Sciences, University of Tsukuba)
The q-Boson system and a deformation of the affine Hecke algebra (Japanese)
[ Abstract ]
The q-Boson system due to Sasamoto and Wadati is a one-dimensional "integrable" stochastic particle model. Its Q-matrix is constructed in the framework of the quantum inverse scattering method and we obtain the eigenvectors by means of the algebraic Bethe ansatz method. Recently it is found that the q-Boson model can be derived also from a representation of a deformation of the affine Hecke algebra and its representation. In this formulation we get the eigenvectors of the transpose of the Q-matrix which were constructed by the technique called the coordinate Bethe ansatz. In this talk I review the above results and discuss the relationship between the two methods.
The q-Boson system due to Sasamoto and Wadati is a one-dimensional "integrable" stochastic particle model. Its Q-matrix is constructed in the framework of the quantum inverse scattering method and we obtain the eigenvectors by means of the algebraic Bethe ansatz method. Recently it is found that the q-Boson model can be derived also from a representation of a deformation of the affine Hecke algebra and its representation. In this formulation we get the eigenvectors of the transpose of the Q-matrix which were constructed by the technique called the coordinate Bethe ansatz. In this talk I review the above results and discuss the relationship between the two methods.
