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most citedA High-Resolution Compton Scattering Study of the Electron Momentum Density in Al

38 citations

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7 papers · 1 filter

math.QA2025

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…

math.QA2018★ 2 cited

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…

math.QA2017★ 9 cited

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…

math.QA2017★ 5 cited

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…

math.QA2016★ 7 cited

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 $…

math.QA2016★ 8 cited

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…

math.QA2016★ 3 cited

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…