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1

Crystals for Demazure Modules of Classical Affine Lie Algebras

Atsuo Kuniba, Kailash C. Misra, Masato Okado, Taichiro Takagi, Jun Uchiyama

Journal:

Journal of Algebra

Année:

1998

Langue:

english

Fichier:

PDF, 336 KB

english, 1998

2

The Bethe Equation at q = 0, the Möbius Inversion Formula, and Weight Multiplicities. II. The Xn Case

Atsuo Kuniba, Tomoki Nakanishi

Journal:

Journal of Algebra

Année:

2002

Langue:

english

Fichier:

PDF, 294 KB

english, 2002

3

Combinatorial R Matrices for a Family of Crystals: B(1)n, D(1)n, A(2)2n, and D(2)n + 1 Cases

Goro Hatayama, Atsuo Kuniba, Masato Okado, Taichiro Takagi

Journal:

Journal of Algebra

Année:

2002

Langue:

english

Fichier:

PDF, 379 KB

english, 2002

4

The Canonical Solutions of the Q-Systems¶ and the Kirillov–Reshetikhin Conjecture

Atsuo Kuniba, Tomoki Nakanishi, Zengo Tsuboi

Journal:

Communications in Mathematical Physics

Année:

2002

Langue:

english

Fichier:

PDF, 249 KB

english, 2002

5

Exact solution of solid-on-solid models for twisted affine Lie algebras A2n(2) and A2n−1(2)

Journal:

Nuclear Physics B

Année:

1991

Langue:

english

Fichier:

PDF, 1.52 MB

english, 1991

6

Crystal interpretation of Kerov–Kirillov–Reshetikhin bijection

Atsuo Kuniba, Masato Okado, Reiho Sakamoto, Taichiro Takagi, Yasuhiko Yamada

Journal:

Nuclear Physics B

Année:

2006

Langue:

english

Fichier:

PDF, 386 KB

english, 2006

7

Skew Young diagram method in spectral decomposition of integrable lattice models II: Higher levels

Anatol N. KirilloV, Atsuo Kuniba, Tomoki Nakanishi

Journal:

Nuclear Physics B

Année:

1998

Langue:

english

Fichier:

PDF, 1.05 MB

english, 1998

8

Virasoro Algebra, von Neumann Algebra and Critical Eight-Vertex SOS Models

Kuniba, Atsuo, Akutsu, Yasuhiro, Wadati, Miki

Journal:

Journal of the Physical Society of Japan

Année:

1986

Fichier:

PDF, 532 KB

1986

9

Pfaffian and determinant solutions to a discretized Toda equation for , and

Kuniba, Atsuo, Nakamura, Shuichi, Hirota, Ryogo

Journal:

Journal of Physics A: Mathematical and General Physics

Année:

1996

Langue:

english

Fichier:

PDF, 127 KB

english, 1996

10

Periodicities of T-systems and Y-systems, Dilogarithm Identities, and Cluster Algebras I: Type $B_r$

Inoue, Rei, Iyama, Osamu, Keller, Bernhard, Kuniba, Atsuo, Nakanishi, Tomoki

Journal:

Publications of the Research Institute for Mathematical Sciences

Année:

2013

Langue:

english

Fichier:

PDF, 606 KB

english, 2013

11

Advanced Studies in Pure Mathematics [Mathematical Society of Japan Integrable Models in Quantum Field Theory and Statistical Mechanics - RIMS, Kyoto University and Kyuzeso, Katata, Japan ()] Integrable Systems in Quantum Field Theory and Statistical Mechanics - Paths, Maya Diagrams and representations of $\widehat{\mathfrak{sl}}(r, \mathrm{C})$

Date, Etsuro, Jimbo, Michio, Kuniba, Atsuo, Miwa, Tetsuji, Okado, Masato

Année:

1989

Langue:

english

Fichier:

PDF, 2.79 MB

english, 1989

12

An exactly solvable 4-state IRF model

Atsuo Kuniba, Yasuhiro Akutsu, Miki Wadati

Journal:

Physics Letters A

Année:

1986

Langue:

english

Fichier:

PDF, 220 KB

english, 1986

13

An exactly solvable 5-state IRF model

Atsuo Kuniba, Yasuhiro Akutsu, Miki Wadati

Journal:

Physics Letters A

Année:

1986

Langue:

english

Fichier:

PDF, 261 KB

english, 1986

14

Exactly solvable G2(1) solid-on-solid models

Atsuo Kuniba, Junji Suzuki

Journal:

Physics Letters A

Année:

1991

Langue:

english

Fichier:

PDF, 447 KB

english, 1991

15

Local state probabilities for solvable restricted solid-on-solid models:An,Dn,Dn(1), andAn(1)

Atsuo Kuniba, Tetsu Yajima

Journal:

Journal of Statistical Physics

Année:

1988

Langue:

english

Fichier:

PDF, 1.94 MB

english, 1988

16

Analytic Bethe ansatz for fundamental representations of Yangians

Atsuo Kuniba, Junji Suzuki

Journal:

Communications in Mathematical Physics

Année:

1995

Langue:

english

Fichier:

PDF, 1.76 MB

english, 1995

17

Demazure Modules and Perfect Crystals

Atsuo Kuniba, Kailash C. Misra, Masato Okado, Jun Uchiyama

Journal:

Communications in Mathematical Physics

Année:

1998

Langue:

english

Fichier:

PDF, 192 KB

english, 1998

18

Combinatorial Bethe Ansatz and Ultradiscrete Riemann Theta Function with Rational Characteristics

Atsuo Kuniba, Reiho Sakamoto

Journal:

Letters in Mathematical Physics

Année:

2007

Langue:

english

Fichier:

PDF, 133 KB

english, 2007

19

Factorization of Combinatorial R Matrices and Associated Cellular Automata

Goro Hatayama, Atsuo Kuniba, Taichiro Takagi

Journal:

Journal of Statistical Physics

Année:

2001

Langue:

english

Fichier:

PDF, 174 KB

english, 2001

20

The Bethe Equation atq= 0, The Möbius Inversion Formula, and Weight Multiplicities: III. TheX

Atsuo Kuniba, Tomoki Nakanishi, Zengo Tsuboi

Journal:

Letters in Mathematical Physics

Année:

2002

Langue:

english

Fichier:

PDF, 140 KB

english, 2002

21

Ferro- and antiferro-magnetizations in RSOS models

Atsuo Kuniba, Tomoki Nakanishi, Junji Suzuki

Journal:

Nuclear Physics B

Année:

1991

Langue:

english

Fichier:

PDF, 2.72 MB

english, 1991

22

Tau functions in combinatorial Bethe ansatz

Atsuo Kuniba, Reiho Sakamoto, Yasuhiko Yamada

Journal:

Nuclear Physics B

Année:

2007

Langue:

english

Fichier:

PDF, 699 KB

english, 2007

23

Soliton cellular automata associated with crystal bases

Goro Hatayama, Atsuo Kuniba, Taichiro Takagi

Journal:

Nuclear Physics B

Année:

2000

Langue:

english

Fichier:

PDF, 239 KB

english, 2000

24

Characters of Demazure modules and solvable lattice models

Atsuo Kuniba, Kailash C. Misra, Masato Okado, Taichiro Takagi, Jun Uchiyama

Journal:

Nuclear Physics B

Année:

1998

Langue:

english

Fichier:

PDF, 826 KB

english, 1998

25

Continued fraction TBA and functional relations in XXZ model at root of unity

Atsuo Kuniba, Kazumitsu Sakai, Junji Suzuki

Journal:

Nuclear Physics B

Année:

1998

Langue:

english

Fichier:

PDF, 1.18 MB

english, 1998

26

Character formulae of sl̂n-modules and inhomogeneous paths

Goro Hatayama, Anatol N. Kirillov, Atsuo Kuniba, Masato Okado, Taichiro Takagi, Yasuhiko Yamada

Journal:

Nuclear Physics B

Année:

1998

Langue:

english

Fichier:

PDF, 1.68 MB

english, 1998

27

Tetrahedron equation and quantum R matrices for infinite-dimensional modules of $U_q(A^{(1)}_1)$ and $U_q (A^{(2)}_2)$

Kuniba, Atsuo, Okado, Masato

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2013

Langue:

english

Fichier:

PDF, 213 KB

english, 2013

28

Tetrahedron Equation and QuantumRMatrices for Spin Representations of({B^{(1)}_n}),({D^{(1)}_n})and({D^{(2)}_{n+1}})

Kuniba, Atsuo, Sergeev, Sergey

Journal:

Communications in Mathematical Physics

Année:

2013

Langue:

english

Fichier:

PDF, 501 KB

english, 2013

29

Box-Ball System with Reflecting End

Kuniba, Atsuo, Okado, Masato, Yamada, Yasuhiko

Journal:

Journal of Nonlinear Mathematical Physics

Année:

2005

Langue:

english

Fichier:

PDF, 326 KB

english, 2005

30

Paths, Demazure crystals, and symmetric functions

Kuniba, Atsuo, Misra, Kailash C., Okado, Masato, Takagi, Taichiro, Uchiyama, Jun

Journal:

Journal of Mathematical Physics

Année:

2000

Langue:

english

Fichier:

PDF, 337 KB

english, 2000

31

FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS I: FUNCTIONAL RELATIONS AND REPRESENTATION THEORY

KUNIBA, ATSUO, NAKANISHI, TOMOKI, SUZUKI, JUNJI

Journal:

International Journal of Modern Physics A

Année:

1994

Langue:

english

Fichier:

PDF, 1.88 MB

english, 1994

32

CHARACTERS IN CONFORMAL FIELD THEORIES FROM THERMODYNAMIC BETHE ANSATZ

KUNIBA, ATSUO, NAKANISHI, TOMOKI, SUZUKI, JUNJI

Journal:

Modern Physics Letters A

Année:

1993

Langue:

english

Fichier:

PDF, 410 KB

english, 1993

33

FUNCTIONAL RELATIONS IN SOLVABLE LATTICE MODELS II: APPLICATIONS

KUNIBA, ATSUO, NAKANISHI, TOMOKI, SUZUKI, JUNJI

Journal:

International Journal of Modern Physics A

Année:

1994

Langue:

english

Fichier:

PDF, 1.63 MB

english, 1994

34

COMBINATORIAL BETHE ANSATZ AND GENERALIZED PERIODIC BOX-BALL SYSTEM

KUNIBA, ATSUO, SAKAMOTO, REIHO

Journal:

Reviews in Mathematical Physics

Année:

2008

Langue:

english

Fichier:

PDF, 459 KB

english, 2008

35

Cluster algebras in mathematical physics

Francesco, Philippe Di, Gekhtman, Michael, Kuniba, Atsuo, Yamazaki, Masahito

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2014

Langue:

english

Fichier:

PDF, 62 KB

english, 2014

36

Tetrahedron Equation and QuantumRMatrices forq-oscillator Representations of\({U_q(A^{(2)}_{2n})}\),\({U_q(C^{(1)}_{n})}\)and\({U_q(D^{(2)}_{n+1})}\)

Kuniba, Atsuo, Okado, Masato

Journal:

Communications in Mathematical Physics

Année:

2015

Langue:

english

Fichier:

PDF, 396 KB

english, 2015

37

Tetrahedron Equation and QuantumRMatrices for Modular Double of\({{\varvec{{U_q(D^{(2)}_{n+1})}}, \varvec{{U_q (A ^{(2)}_{2n})}}}}\)and\(\varvec{{U_q(C^{(1)}_{n})}}\)

Kuniba, Atsuo, Okado, Masato, Sergeev, Sergey

Journal:

Letters in Mathematical Physics

Année:

2015

Langue:

english

Fichier:

PDF, 324 KB

english, 2015

38

Factorization, reduction and embedding in integrable cellular automata

Kuniba, Atsuo, Takagi, Taichiro, Takenouchi, Akira

Journal:

Journal of Physics A: Mathematical and General Physics

Année:

2004

Langue:

english

Fichier:

PDF, 235 KB

english, 2004

39

The Bethe ansatz in a periodic box–ball system and the ultradiscrete Riemann theta function

Kuniba, Atsuo, Sakamoto, Reiho

Journal:

Journal of Statistical Mechanics Theory and Experiment

Année:

2006

Langue:

english

Fichier:

PDF, 1.47 MB

english, 2006

40

Fermionic partition functions for a periodic soliton cellular automaton

Kuniba, Atsuo, Takagi, Taichiro

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2011

Langue:

english

Fichier:

PDF, 340 KB

english, 2011

41

Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry

Inoue, Rei, Kuniba, Atsuo, Takagi, Taichiro

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2012

Langue:

english

Fichier:

PDF, 2.39 MB

english, 2012

42

Tetrahedron and 3D reflection equations from quantized algebra of functions

Kuniba, Atsuo, Okado, Masato

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2012

Langue:

english

Fichier:

PDF, 398 KB

english, 2012

43

Special issue on cluster algebras in mathematical physics

Francesco, Philippe Di, Gekhtman, Michael, Kuniba, Atsuo, Yamazaki, Masahito

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2013

Langue:

english

Fichier:

PDF, 41 KB

english, 2013

44

A polynomial formula for the solution of 3D reflection equation

Kuniba, Atsuo, Maruyama, Shouya

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2015

Langue:

english

Fichier:

PDF, 352 KB

english, 2015

45

Special issue on cluster algebras in mathematical physics

Francesco, Philippe Di, Gekhtman, Michael, Kuniba, Atsuo, Yamazaki, Masahito

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2014

Langue:

english

Fichier:

PDF, 166 KB

english, 2014

46

Special issue on cluster algebras in mathematical physics

Francesco, Philippe Di, Gekhtman, Michael, Kuniba, Atsuo, Yamazaki, Masahito

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2014

Langue:

english

Fichier:

PDF, 72 KB

english, 2014

47

Simple algorithm for factorized dynamics of the $\frak{g}_n$-automaton

Hatayama, Goro, Kuniba, Atsuo, Takagi, Taichiro

Journal:

Journal of Physics A: Mathematical and General Physics

Année:

2001

Langue:

english

Fichier:

PDF, 141 KB

english, 2001

48

T -systems and Y -systems in integrable systems

Kuniba, Atsuo, Nakanishi, Tomoki, Suzuki, Junji

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2011

Langue:

english

Fichier:

PDF, 2.35 MB

english, 2011

49

Solutions of a discretized Toda field equation for from analytic Bethe ansatz

Tsuboi, Zengo, Kuniba, Atsuo

Journal:

Journal of Physics A: Mathematical and General Physics

Année:

1996

Langue:

english

Fichier:

PDF, 149 KB

english, 1996

50

Bethe ansatz at q = 0 and periodic box–ball systems

Kuniba, Atsuo, Takenouchi, Akira

Journal:

Journal of Physics A: Mathematical and General Physics

Année:

2006

Langue:

english

Fichier:

PDF, 248 KB

english, 2006