Published Papers
[15] Y.Kanakubo, `Monomial realizations and LS paths of fundamental representations for rank 2 Kac-Moody algebras', Journal of Algebra, Volume 672, pp.31--49. (2025) (arXiv)
[14] Y.Kanakubo, G.Koshevoy, T.Nakashima, `An algorithm for Berenstein-Kazhdan decoration functions and trails for classical Lie algebras', International Mathematics Research Notices, Volume 4, pp.3223--3277. (2024) (arXiv)
[13] Y.Kanakubo, `Polyhedral realizations for B(∞) and extended Young diagrams, Young walls of type A^{(1)}_{n-1}, C^{(1)}_{n-1},
A^{(2)}_{2n-2}, D^{(2)}_{n}', Algebras and Representation Theory, Volume 26, No.5, pp.2181--2233. (2023) (arXiv)
[12] Y.Kanakubo, `Polyhedral realizations for crystal bases of integrable highest weight modules and combinatorial objects of type
A^{(1)}_{n-1}, C^{(1)}_{n-1}, A^{(2)}_{2n-2}, D^{(2)}_{n}', Letters in Mathematical Physics, Volume 113 : 60, no.3, pp.1--50. (2023) (arXiv)
[11] Y.Kanakubo, T.Nakashima, `Half Potential on Geometric Crystals and Connectedness of Cellular Crystals',
Transformation Groups, Volume 28, no.1, pp.327--373. (2023) (arXiv)
[10] Y.Kanakubo, G.Koshevoy, T.Nakashima, `An algorithm for Berenstein-Kazhdan decoration functions and trails for minuscule representations',
Journal of Algebra, Volume 608, pp.106--142. (2022) (arXiv)
[9] Y.Kanakubo, T.Nakashima, `Adapted Sequences and Polyhedral Realizations of Crystal Bases for highest weight modules',
Journal of Algebra, Volume 574, pp.327--374. (2021) (arXiv)
[8] Y.Kanakubo, T.Nakashima, `Adapted sequence for polyhedral realization of crystal bases',
Communications in Algebra, Volume 48, no.11, pp.4732--4766. (2020) (arXiv)
[7] Y.Kanakubo, T.Nakashima, `Geometric crystals and Cluster ensembles in Kac-Moody setting',
Journal of Geometry and Physics, Volume 149, no.103576, pp.1--23. (2020) (arXiv)
[6] Y.Kanakubo, T.Nakashima, `Cluster algebras of finite type via Coxeter elements and Demazure Crystals of type A',
Journal of Algebra, Volume 538, pp.149--206. (2019) (arXiv)
[5] Y.Kanakubo, `Cluster algebras of finite type via Coxeter elements and Demazure Crystals of type B,C,D',
Journal of Geometry and Physics, Volume 137, pp.40--75. (2019) (arXiv)
[4] Y.Kanakubo, T.Nakashima, `Cluster Variables on Double Bruhat Cells $G^{u,e}$ of Classical Groups and Monomial Realizations of Demazure Crystals', International Mathematics Research Notices, Volume 2018, no.12, pp.3621--3670. (2018) (arXiv)
[3] Y.Kanakubo, T.Nakashima, `Explicit forms of cluster variables on double Bruhat cells $G^{u,e}$ of type C',
Tokyo Journal of Mathematics, Volume 39, no.3, pp.643--678. (2017) (arXiv)
[2] Y.Kanakubo, `Explicit forms of cluster variables on double Bruhat cells $G^{u,e}$ of type B',
Communications in Algebra, Volume 45, no.9, pp.3825--3860. (2017) (arXiv)
[1] Y.Kanakubo, T.Nakashima, `Cluster variables on certain double Bruhat cells of type $(u,e)$ and monomial realizations of crystal bases of type A', Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Volume 11, no.33, pp.1--32. (2015) (arXiv)
Preprints
・Y.Kanakubo, G.Koshevoy, T.Nakashima, `Products of Kirillov-Reshetikhin modules and maximal green sequences', arXiv:2503.23833.
・Y.Kanakubo, `A conjecture on monomial realizations and polyhedral realizations for crystal bases', arXiv:2503.06417.
・Y.Kanakubo, `Polyhedral realizations for crystal bases and Young walls of classical affine types', arXiv:2403.01190.
MISC
・Y.Kanakubo, `Quantum groups and Combinatorics', Mathematical sciences, Vol.63, No.3, pp.43--49. (March, 2025)
Talks (After 2020)
・Y.Kanakubo, “Inequalities defining polyhedral realizations and monomial realizations of crystal bases”,
Combinatorics and Arithmetic for Physics: special days,
Institut des Hautes Études Scientifiques, France, Online talk. (22 November, 2024) (Slide)
・Y.Kanakubo, “Polyhedral realizations and Young walls of classical affine types”, "Crystal Bases and Then..." - Conference in honor of Toshiki Nakashima's 60th birthday, Karuizawa Kenshuu-sho, Nagano. (12 July, 2024)
・Y.Kanakubo, “An algorithm for Berenstein-Kazhdan decoration functions on classical groups”, Cologne Algebra and Representation Theory Seminar, University of Cologne, Germany. (12 December, 2023)
・Y.Kanakubo, “Polyhedral realizations for crystal bases and extended Young diagrams of affine type $A^{(1)}_{n-1}$”,
MPI-Oberseminar, Max Planck Institute for Mathematics, Germany. (23 November, 2023)
・Y.Kanakubo, “Inequalities defining polyhedral realizations of affine types and extended Young diagrams”,
Combinatorics and Arithmetic for Physics: special days, Tenth Anniversary Edition,
Institut des Hautes Études Scientifiques, France. (17 November, 2023) (YOUTUBE) (Slide)
・Y.Kanakubo, “Polyhedral realizations and extended Young diagrams of several classical affine types“,
Mathematics Colloquium, Sophia University. (21 July, 2023)
・Y.Kanakubo, “An algorithm for Berenstein-Kazhdan decoration functions on classical groups“,
Tokyo Tech Representation Theory Seminar, Tokyo Institute of Technology. (14 July, 2023)
・Y.Kanakubo, “Polyhedral realizations and extended Young diagrams of several classical affine types“,
Physical Algebra and Combinatorics Seminar, Online talk. (24 March, 2023)
・Y.Kanakubo, “An algorithm for Berenstein-Kazhdan decoration functions on classical groups“,
Algebraic Lie Theory and Representation Theory (ALTReT) 2022, Online talk. (26 May, 2022)
・Y.Kanakubo, G.Koshevoy, T.Nakashima, “An algorithm for Berenstein-Kazhdan decoration functions for minuscule representations“,
MSJ Spring Meeting 2022 at Saitama University, Online talk. (30 March, 2022)
・Y.Kanakubo, “Polyhedral realizations and extended Young diagrams, Young walls of several classical affine types“,
RIMS Workshop 「Combinatorial Representation Theory and Connections with Related Fields」, Online talk. (20 October, 2021)