38 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Kyushu UniversityJP4 papers
- The University of TokyoJP3 papers
- Tokyo Institute of TechnologyJP3 papers
- Tokyo University of ScienceJP3 papers
- Hitotsubashi UniversityJP2 papers
- Hokkaido UniversityJP2 papers
- Keio UniversityJP2 papers
- University of Northern ColoradoUS2 papers
- Agency for Science, Technology and ResearchSG1 paper
- Aichi Institute of TechnologyJP1 paper
- Delft University of TechnologyNL1 paper
- High Energy Accelerator Research OrganizationJP1 paper
7 papers · 1 filter
Multiple commutation relations of the quantum affine algebra , nested Bethe vector and the Gelfand-Tsetlin basis
Allan John Gerrard, Kohei Motegi, Kazumitsu Sakai
We study a certain type of multiple commutation relations of the quantum affine algebra . We show that all the coefficients in the multiple commutat…
Elliptic Stable Envelopes and Finite-dimensional Representations of Elliptic Quantum Group
Hitoshi Konno
We construct a finite dimensional representation of the face type, i.e dynamical, elliptic quantum group associated with on the Gelfand-Tsetlin basis of the tensor product o…
Elliptic Weight Functions and Elliptic q-KZ Equation
Hitoshi Konno
By using representation theory of the elliptic quantum group U_{q,p}(sl_N^), we present a systematic method of deriving the weight functions. The resultant sl_N type elliptic weigh…
Dual wavefunction of the symplectic ice
Kohei Motegi
The wavefunction of the free-fermion six-vertex model was found to give a natural realization of the Tokuyama combinatorial formula for the Schur polynomials by Bump-Brubaker-Fried…
Combinatorial properties of symmetric polynomials from integrable vertex models in finite lattice
Kohei Motegi
We introduce and study several combinatorial properties of a class of symmetric polynomials from the point of view of integrable vertex models in finite lattice. We introduce the $…
Dual wavefunction of the Felderhof model
Kohei Motegi
We study the Felderhof free-fermion six-vertex model, whose wavefunction recently turned out to possess rich combinatorial structure of the Schur polynomials. We investigate the du…
Elliptic Quantum Groups U_{q,p}(gl_N) and E_{q,p}(gl_N)
Hitoshi Konno
We reformurate a central extension of Felder's elliptic quantum group in the FRST formulation as a topological algebra E_{q,p}(gl_N) over the ring of formal power series in p. We t…