Перегляд за автором "Kuniba, A."

Результати 1-4 з 4

A Common Structure in PBW Bases of the Nilpotent Subalgebra of Uq(g) and Quantized Algebra of Functions

Kuniba, A.; Okado, M.; Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)

For a finite-dimensional simple Lie algebra g, let U⁺q(g) be the positive part of the quantized universal enveloping algebra, and Aq(g) be the quantized algebra of functions. We show that the transition matrix of the PBW ...
Bethe Ansatz, Inverse Scattering Transform and Tropical Riemann Theta Function in a Periodic Soliton Cellular Automaton for An⁽¹⁾

Kuniba, A.; Takagi, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)

We study an integrable vertex model with a periodic boundary condition associated with Uq(An⁽¹⁾ at the crystallizing point q=0. It is an (n+1)-state cellular automaton describing the factorized scattering of solitons. The ...
Integrable Structure of Multispecies Zero Range Process

Kuniba, A.; Okado, M.; Watanabe, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)

We present a brief review on integrability of multispecies zero range process in one dimension introduced recently. The topics range over stochastic R matrices of quantum affine algebra Uq(An⁽¹⁾), matrix product construction ...
T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras

Kuniba, A.; Nakanishi, T.; Suzuki, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)

The T-systems and Y-systems are classes of algebraic relations originally associated with quantum affine algebras and Yangians. Recently the T-systems were generalized to quantum affinizations of a wide class of quantum ...

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Перегляд за автором "Kuniba, A."

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