Publications Influence

Share This Author

Remarks on Fermionic Formula

- G. Hatayama, A. Kuniba, M. Okado, T. Takagi, Yasuhiko Yamada
- Mathematics
- 3 December 1998

Fermionic formulae originate in the Bethe ansatz in solvable lattice models. They are specific expressions of some q-polynomials as sums of products of q-binomial coefficients. We consider the… Expand

Paths, crystals and fermionic formulae

- G. Hatayama, A. Kuniba, M. Okado, T. Takagi, Z. Tsuboi
- Mathematics
- 15 February 2001

We introduce a fermionic formula associated with any quantum affine algebra U q (X N (r) . Guided by the interplay between corner transfer matrix and the Bethe ansatz in solvable lattice models, we… Expand

T-systems and Y-systems in integrable systems

- A. Kuniba, T. Nakanishi, J. Suzuki
- Mathematics
- 7 October 2010

T- and Y-systems are ubiquitous structures in classical and quantum integrable systems. They are difference equations having a variety of aspects related to commuting transfer matrices in solvable… Expand

FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS II: APPLICATIONS

- A. Kuniba, T. Nakanishi, J. Suzuki
- Physics
- 12 October 1993

Reported are two applications of the functional relations (T system) among a commuting family of row-to-row transfer matrices proposed in the previous paper (Part I). For a general simple Lie algebra… Expand

The AM(1) automata related to crystals of symmetric tensors

- G. Hatayama, K. Hikami, Rei Inoue, A. Kuniba, T. Takagi, T. Tokihiro
- Mathematics
- 27 December 1999

A soliton cellular automaton associated with crystals of symmetric tensor representations of the quantum affine algebra Uq′(AM(1)) is introduced. It is a crystal theoretic formulation of the… Expand

Tetrahedron equation and generalized quantum groups

- A. Kuniba, M. Okado, S. Sergeev
- Mathematics
- 30 March 2015

We construct 2 n ?> -families of solutions of the Yang–Baxter equation from n-products of three-dimensional R and L operators satisfying the tetrahedron equation. They are identified with the quantum… Expand

Analytic Bethe ansatz for fundamental representations of Yangians

We study the analytic Bethe, ansatz in solvable vertex models associated with the YangianY(Xr) or its quantum affine analogueUq(Xr(1)) forXr=Br,Cr andDr. Eigenvalue formulas are proposed for the… Expand

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

- A. Kuniba, M. Okado, Yasuhiko Yamada
- Mathematics
- 26 February 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… Expand

...

1

2

3

4

5

...