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Nakayashiki, Atsushi

Author ID: nakayashiki.atsushi Recent zbMATH articles by "Nakayashiki, Atsushi"
Published as: Nakayashiki, Atsushi; Nakayashiki, A.
Documents Indexed: 47 Publications since 1991, including 1 Additional arXiv Preprint
Co-Authors: 24 Co-Authors with 23 Joint Publications
512 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 725 times in 468 Documents Cited by Year
Affine crystals and vertex models. Zbl 0925.17005
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
167
1992
Perfect crystals of quantum affine Lie algebras. Zbl 0774.17017
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
119
1992
Diagonalization of the \(XXZ\) Hamiltonian by vertex operators. Zbl 0769.17020
Davies, Brian; Foda, Omar; Jimbo, Michio; Miwa, Tetsuji; Nakayashiki, Atsushi
111
1993
Kostka polynomials and energy functions in solvable lattice models. Zbl 0915.17016
Nakayashiki, Atsushi; Yamada, Yasuhiko
68
1997
On algebraic expressions of sigma functions for (\(n, s\)) curves. Zbl 1214.14028
Nakayashiki, Atsushi
37
2010
Difference equations for the correlation functions of the eight-vertex model. Zbl 0773.60090
Jimbo, Michio; Miwa, Tetsuji; Nakayashiki, Atsushi
33
1993
Sigma function as a tau function. Zbl 1197.14049
Nakayashiki, Atsushi
15
2010
Vertex operators in solvable lattice models. Zbl 0818.39004
Foda, Omar; Jimbo, Michio; Miwa, Tetsuji; Miki, Kei; Nakayashiki, Atsushi
14
1994
Cohomologies of affine hyperelliptic Jacobi varieties and integrable systems. Zbl 0987.14021
Nakayashiki, A.; Smirnov, F. A.
14
2001
Crystallizing the spinon basis. Zbl 0870.17021
Nakayashiki, Atsushi; Yamada, Yasuhiko
13
1996
On the Thomae formula for \(\mathbb{Z}_N\) curves. Zbl 0921.14016
Nakayashiki, Atsushi
12
1997
Structure of Baker-Akhiezer modules of principally polarized abelian varieties, commuting partial differential operators and associated integrable systems. Zbl 0732.14008
Nakayashiki, Atsushi
11
1991
On reducible degeneration of hyperelliptic curves and soliton solutions. Zbl 1414.37031
Nakayashiki, Atsushi
9
2019
Commuting partial differential operators and vector bundles over abelian varieties. Zbl 0809.14016
Nakayashiki, Atsushi
8
1994
Degeneration of trigonal curves and solutions of the KP-hierarchy. Zbl 1398.37081
Nakayashiki, Atsushi
8
2018
Tau function approach to theta functions. Zbl 1404.32028
Nakayashiki, Atsushi
8
2016
On the cohomology of theta divisors of hyperelliptic Jacobians. Zbl 1026.14006
Nakayashiki, Atsushi
7
2002
On solutions of the KZ and qKZ equations at level zero. Zbl 0941.35089
Nakayashiki, A.; Pakuliak, S.; Tarasov, V.
6
1999
Crystalline spinon basis for RSOS models. Zbl 1044.82538
Nakayashiki, Atsushi; Yamada, Yasuhiko
6
1996
Euler characteristics of theta divisors of Jacobians for spectral curves. Zbl 1064.14027
Nakayashiki, Atsushi; Smirnov, Fedor A.
6
2002
Sato Grassmannian and degenerate sigma function. Zbl 1435.14047
Bernatska, Julia; Enolski, Victor; Nakayashiki, Atsushi
6
2020
On addition formulae for sigma functions of telescopic curves. Zbl 1273.14072
Ayano, Takanori; Nakayashiki, Atsushi
5
2013
Vertex models and crystals. Zbl 0776.17008
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
5
1992
On hyperelliptic abelian functions of genus 3. Zbl 1215.14032
Nakayashiki, Atsushi
4
2011
On form factors of the \(SU(2)\) invariant Thirring model. Zbl 1018.81038
Nakayashiki, Atsushi; Takeyama, Yoshihiro
4
2002
Differential structure of abelian functions. Zbl 1165.14034
Cho, Koji; Nakayashiki, Atsushi
4
2008
Some integral formulas for the solutions of the \(\text{sl}_2\) dKZ equation with level \({-4}\). Zbl 0985.82504
Nakayashiki, Atsushi
3
1994
One step degeneration of trigonal curves and mixing of solitons and quasi-periodic solutions of the KP equation. Zbl 1485.37066
Nakayashiki, Atsushi
3
2020
Integral and theta formulae for solutions of \(sl_N\) Knizhnik-Zamolodchikov equation at level zero. Zbl 0959.32028
Nakayashiki, Atsushi
2
1998
Trace construction of a basis for the solution space of \(\text{sl}_ N\) qKZ equation. Zbl 1160.81409
Nakayashiki, Atsushi
2
2000
The chiral space of local operators in SU(2)-invariant Thirring model. Zbl 1068.81056
Nakayashiki, Atsushi
2
2004
Derivatives of Schur, tau and sigma functions on Abel-Jacobi images. Zbl 1307.05223
Nakayashiki, Atsushi; Yori, Keijiro
2
2013
Quasi-particle structure in solvable vertex models. Zbl 0871.17028
Nakayashiki, Atsushi
2
1996
Free field approach to solutions of the quantum Knizhnik-Zamolodchikov equations. Zbl 1192.81205
Kuroki, Kazunori; Nakayashiki, Atsushi
2
2008
On the expansion coefficients of KP tau function. Zbl 1397.37076
Nakayashiki, Atsushi; Okada, Soichi; Shigyo, Yoko
2
2017
The space of local fields as a module over the ring of local integrals of motion. Zbl 1067.81073
Nakayashiki, Atsushi
1
2004
Residues of \(q\)-hypergeometric integrals and characters of affine Lie algebras. Zbl 1078.32010
Nakayashiki, Atsushi
1
2003
Tau functions of \((n, 1)\) curves and soliton solutions on nonzero constant backgrounds. Zbl 1480.37078
Nakayashiki, Atsushi
1
2021
Baker-Akhiezer modules on the intersections of shifted theta divisors. Zbl 1225.14034
Cho, Koji; Mironov, Andrey E.; Nakayashiki, Atsushi
1
2011
Discretization of Baker-Akhiezer modules and commuting difference operators in several discrete variables. Zbl 1351.12001
Mironov, Andrey; Nakayashiki, Atsushi
1
2013
Tau functions of \((n, 1)\) curves and soliton solutions on nonzero constant backgrounds. Zbl 1480.37078
Nakayashiki, Atsushi
1
2021
Sato Grassmannian and degenerate sigma function. Zbl 1435.14047
Bernatska, Julia; Enolski, Victor; Nakayashiki, Atsushi
6
2020
One step degeneration of trigonal curves and mixing of solitons and quasi-periodic solutions of the KP equation. Zbl 1485.37066
Nakayashiki, Atsushi
3
2020
On reducible degeneration of hyperelliptic curves and soliton solutions. Zbl 1414.37031
Nakayashiki, Atsushi
9
2019
Degeneration of trigonal curves and solutions of the KP-hierarchy. Zbl 1398.37081
Nakayashiki, Atsushi
8
2018
On the expansion coefficients of KP tau function. Zbl 1397.37076
Nakayashiki, Atsushi; Okada, Soichi; Shigyo, Yoko
2
2017
Tau function approach to theta functions. Zbl 1404.32028
Nakayashiki, Atsushi
8
2016
On addition formulae for sigma functions of telescopic curves. Zbl 1273.14072
Ayano, Takanori; Nakayashiki, Atsushi
5
2013
Derivatives of Schur, tau and sigma functions on Abel-Jacobi images. Zbl 1307.05223
Nakayashiki, Atsushi; Yori, Keijiro
2
2013
Discretization of Baker-Akhiezer modules and commuting difference operators in several discrete variables. Zbl 1351.12001
Mironov, Andrey; Nakayashiki, Atsushi
1
2013
On hyperelliptic abelian functions of genus 3. Zbl 1215.14032
Nakayashiki, Atsushi
4
2011
Baker-Akhiezer modules on the intersections of shifted theta divisors. Zbl 1225.14034
Cho, Koji; Mironov, Andrey E.; Nakayashiki, Atsushi
1
2011
On algebraic expressions of sigma functions for (\(n, s\)) curves. Zbl 1214.14028
Nakayashiki, Atsushi
37
2010
Sigma function as a tau function. Zbl 1197.14049
Nakayashiki, Atsushi
15
2010
Differential structure of abelian functions. Zbl 1165.14034
Cho, Koji; Nakayashiki, Atsushi
4
2008
Free field approach to solutions of the quantum Knizhnik-Zamolodchikov equations. Zbl 1192.81205
Kuroki, Kazunori; Nakayashiki, Atsushi
2
2008
The chiral space of local operators in SU(2)-invariant Thirring model. Zbl 1068.81056
Nakayashiki, Atsushi
2
2004
The space of local fields as a module over the ring of local integrals of motion. Zbl 1067.81073
Nakayashiki, Atsushi
1
2004
Residues of \(q\)-hypergeometric integrals and characters of affine Lie algebras. Zbl 1078.32010
Nakayashiki, Atsushi
1
2003
On the cohomology of theta divisors of hyperelliptic Jacobians. Zbl 1026.14006
Nakayashiki, Atsushi
7
2002
Euler characteristics of theta divisors of Jacobians for spectral curves. Zbl 1064.14027
Nakayashiki, Atsushi; Smirnov, Fedor A.
6
2002
On form factors of the \(SU(2)\) invariant Thirring model. Zbl 1018.81038
Nakayashiki, Atsushi; Takeyama, Yoshihiro
4
2002
Cohomologies of affine hyperelliptic Jacobi varieties and integrable systems. Zbl 0987.14021
Nakayashiki, A.; Smirnov, F. A.
14
2001
Trace construction of a basis for the solution space of \(\text{sl}_ N\) qKZ equation. Zbl 1160.81409
Nakayashiki, Atsushi
2
2000
On solutions of the KZ and qKZ equations at level zero. Zbl 0941.35089
Nakayashiki, A.; Pakuliak, S.; Tarasov, V.
6
1999
Integral and theta formulae for solutions of \(sl_N\) Knizhnik-Zamolodchikov equation at level zero. Zbl 0959.32028
Nakayashiki, Atsushi
2
1998
Kostka polynomials and energy functions in solvable lattice models. Zbl 0915.17016
Nakayashiki, Atsushi; Yamada, Yasuhiko
68
1997
On the Thomae formula for \(\mathbb{Z}_N\) curves. Zbl 0921.14016
Nakayashiki, Atsushi
12
1997
Crystallizing the spinon basis. Zbl 0870.17021
Nakayashiki, Atsushi; Yamada, Yasuhiko
13
1996
Crystalline spinon basis for RSOS models. Zbl 1044.82538
Nakayashiki, Atsushi; Yamada, Yasuhiko
6
1996
Quasi-particle structure in solvable vertex models. Zbl 0871.17028
Nakayashiki, Atsushi
2
1996
Vertex operators in solvable lattice models. Zbl 0818.39004
Foda, Omar; Jimbo, Michio; Miwa, Tetsuji; Miki, Kei; Nakayashiki, Atsushi
14
1994
Commuting partial differential operators and vector bundles over abelian varieties. Zbl 0809.14016
Nakayashiki, Atsushi
8
1994
Some integral formulas for the solutions of the \(\text{sl}_2\) dKZ equation with level \({-4}\). Zbl 0985.82504
Nakayashiki, Atsushi
3
1994
Diagonalization of the \(XXZ\) Hamiltonian by vertex operators. Zbl 0769.17020
Davies, Brian; Foda, Omar; Jimbo, Michio; Miwa, Tetsuji; Nakayashiki, Atsushi
111
1993
Difference equations for the correlation functions of the eight-vertex model. Zbl 0773.60090
Jimbo, Michio; Miwa, Tetsuji; Nakayashiki, Atsushi
33
1993
Affine crystals and vertex models. Zbl 0925.17005
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
167
1992
Perfect crystals of quantum affine Lie algebras. Zbl 0774.17017
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
119
1992
Vertex models and crystals. Zbl 0776.17008
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
5
1992
Structure of Baker-Akhiezer modules of principally polarized abelian varieties, commuting partial differential operators and associated integrable systems. Zbl 0732.14008
Nakayashiki, Atsushi
11
1991
all top 5

Cited by 431 Authors

32 Okado, Masato
20 Misra, Kailash C.
20 Scrimshaw, Travis
19 Kuniba, Atsuo
18 Nakayashiki, Atsushi
18 Schilling, Anne
16 Kang, Seok-Jin
15 Kashiwara, Masaki
14 Miwa, Tetsuji
13 Shin, Dong-Uy
12 Kim, Jeong-Ah
12 Kojima, Takeo
12 Yang, Wenli
12 Zhang, Yaozhong
11 Previato, Emma
11 Takagi, Taichiro
10 Jimbo, Michio
10 Nakashima, Toshiki
8 Bukhshtaber, Viktor Matveevich
8 Matsutani, Shigeki
8 Park, Euiyong
7 Inoue, Rei
7 Kim, Myungho
7 Kwon, Jae-Hoon
7 Lecouvey, Cédric
7 Shimozono, Mark
6 Ayano, Takanori
6 Dousse, Jehanne
6 Foda, Omar
6 Jing, Naihuan
6 Lee, Hyeonmi
6 Oh, Se-jin
6 Sakamoto, Reiho
6 Weston, Robert A.
6 Yamada, Yasuhiko
5 Lenart, Cristian
5 Pugaĭ, Yaroslav Petrovich
5 Salisbury, Ben
4 Bernatska, Julia
4 Eilbeck, John Chris
4 Enolskiĭ, Viktor Zelikovich
4 Frieden, Gabriel
4 Gade, R. M.
4 Hatayama, Goro
4 Hou, Boyu
4 Kedem, Rinat
4 Komeda, Jiryo
4 Konan, Isaac
4 Konno, Hitoshi
4 Kopeliovich, Yaacov
4 Lam, Thomas F.
4 Lashkevich, Mikhaĭl Yur’evich
4 Lukyanov, Sergei L.
4 Ônishi, Yoshihiro
4 Pakuliak, Stanislav Z.
4 Pylyavskyy, Pavlo
4 Shiraishi, Jun’ichi
3 Awata, Hidetoshi
3 Baseilhac, Pascal
3 Baxter, Rodney J.
3 Berkovich, Alexander
3 Bougourzi, A. Hamid
3 Bouwknegt, Peter G.
3 Brazhnikov, Vadim A.
3 Bunkova, Elena Yur’evna
3 England, Matthew
3 Frenkel, Edward V.
3 Hao, Kun
3 Khoroshkin, Sergey M.
3 Kozlowski, Karol Kajetan
3 Lebedev, Dmitrii R.
3 Maillet, Jean-Michel
3 Mathieu, Pierre
3 Odake, Satoru
3 Primc, Mirko
3 Quano, Yas-Hiro
3 Shi, Kangjie
3 Sthanumoorthy, Neelacanta
3 Tarasov, Vitaly Olegovich
3 Uchiyama, Jun
3 Uma Maheswari, A.
3 Vazirani, Monica J.
3 Warnaar, S. Ole
3 Wilson, Evan A.
3 Zemel, Shaul
3 Zheglov, Alexander B.
2 Aas, Erik
2 Abenda, Simonetta
2 Agostini, Daniele
2 Athorne, Chris
2 Bourgine, Jean-Emile
2 Çelik, Türkü Özlüm
2 Chen, Xi
2 Chmutov, Michael
2 Cho, Koji
2 Danilov, Vladimir I.
2 Ding, Jintai
2 Fan, Heng
2 Feĭgin, Boris L’vovich
2 Feng, Jun
...and 331 more Authors
all top 5

Cited in 94 Serials

59 Nuclear Physics. B
39 Journal of Algebra
30 Communications in Mathematical Physics
26 Journal of Mathematical Physics
19 Letters in Mathematical Physics
17 Advances in Mathematics
13 Communications in Algebra
13 Journal of Algebraic Combinatorics
12 Journal of High Energy Physics
11 Algebras and Representation Theory
10 Journal of Combinatorial Theory. Series A
10 Publications of the Research Institute for Mathematical Sciences, Kyoto University
9 Séminaire Lotharingien de Combinatoire
8 Theoretical and Mathematical Physics
8 Journal of Geometry and Physics
8 Transactions of the American Mathematical Society
8 Journal of Statistical Mechanics: Theory and Experiment
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 International Journal of Modern Physics A
7 Journal of Statistical Physics
7 Physics Letters. A
7 Duke Mathematical Journal
7 Journal of Physics A: Mathematical and Theoretical
5 Functional Analysis and its Applications
5 Selecta Mathematica. New Series
5 Annales Henri Poincaré
4 The Electronic Journal of Combinatorics
4 Representation Theory
3 Reviews in Mathematical Physics
3 Journal of Pure and Applied Algebra
3 Proceedings of the American Mathematical Society
3 Transactions of the Moscow Mathematical Society
3 International Journal of Mathematics
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Physics Letters. B
2 Chaos, Solitons and Fractals
2 Compositio Mathematica
2 Journal of the Mathematical Society of Japan
2 Mathematische Annalen
2 Mathematische Zeitschrift
2 European Journal of Combinatorics
2 Transformation Groups
2 Journal of Nonlinear Mathematical Physics
2 Central European Journal of Mathematics
2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
2 Algebraic Combinatorics
1 International Journal of Modern Physics B
1 Discrete Mathematics
1 International Journal of Theoretical Physics
1 Nonlinearity
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Arithmetica
1 Annales de l’Institut Fourier
1 Glasgow Mathematical Journal
1 Inventiones Mathematicae
1 Manuscripta Mathematica
1 Nagoya Mathematical Journal
1 Osaka Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Siberian Mathematical Journal
1 Physica D
1 Journal of Symbolic Computation
1 Journal of the American Mathematical Society
1 Annals of Physics
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Algebra Colloquium
1 St. Petersburg Mathematical Journal
1 Sbornik: Mathematics
1 Vietnam Journal of Mathematics
1 Mathematical Physics, Analysis and Geometry
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 LMS Journal of Computation and Mathematics
1 Regular and Chaotic Dynamics
1 Journal of the European Mathematical Society (JEMS)
1 Czechoslovak Journal of Physics
1 The ANZIAM Journal
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Computational Methods and Function Theory
1 Journal of Algebra and its Applications
1 Oberwolfach Reports
1 International Journal of Number Theory
1 Chebyshevskiĭ Sbornik
1 Proceedings of the Steklov Institute of Mathematics
1 Mathematics in Computer Science
1 Complex Analysis and Operator Theory
1 Frontiers of Mathematics in China
1 Ars Mathematica Contemporanea
1 Advances in Mathematical Physics
1 Numerical Algebra, Control and Optimization
1 Forum of Mathematics, Pi
1 Research in the Mathematical Sciences
all top 5

Cited in 38 Fields

262 Nonassociative rings and algebras (17-XX)
181 Quantum theory (81-XX)
124 Statistical mechanics, structure of matter (82-XX)
110 Combinatorics (05-XX)
83 Algebraic geometry (14-XX)
53 Dynamical systems and ergodic theory (37-XX)
26 Partial differential equations (35-XX)
24 Associative rings and algebras (16-XX)
21 Special functions (33-XX)
18 Number theory (11-XX)
17 Group theory and generalizations (20-XX)
12 Topological groups, Lie groups (22-XX)
11 Several complex variables and analytic spaces (32-XX)
8 Functions of a complex variable (30-XX)
8 Operator theory (47-XX)
7 Commutative algebra (13-XX)
7 Difference and functional equations (39-XX)
6 Global analysis, analysis on manifolds (58-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Category theory; homological algebra (18-XX)
4 Probability theory and stochastic processes (60-XX)
4 Computer science (68-XX)
3 Relativity and gravitational theory (83-XX)
2 History and biography (01-XX)
2 Ordinary differential equations (34-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Functional analysis (46-XX)
2 Mechanics of particles and systems (70-XX)
1 General and overarching topics; collections (00-XX)
1 Field theory and polynomials (12-XX)
1 \(K\)-theory (19-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Differential geometry (53-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Numerical analysis (65-XX)

Citations by Year