Research keywords (2)：
Cluster algebras
, Representation theory of quantum groups
Research theme for competitive and other funds (3)：
2024 - 2026 Characterization of polyhedral realizations for crystal bases and applications for cluster theory
2020 - 2023 Combinatorial descriptions of crystal bases and applications to the cluster theory
2017 - 2019 Relations between cluster algebras and crystal bases, geometric crystals
Papers (14)：
Yuki Kanakubo, Gleb Koshevoy, Toshiki Nakashima. An Algorithm for Berenstein-Kazhdan Decoration Functions and Trails for Classical Lie Algebras. International Mathematics Research Notices. 2024. 2024. 4. 3223-3277
Yuki Kanakubo. Polyhedral Realizations for $B(\infty )$ and Extended Young Diagrams, Young Walls of Type $\mathrm {A}^{(1)}_{n-1}$, $\mathrm {C}^{(1)}_{n-1}$, $\mathrm {A}^{(2)}_{2n-2}$, $\mathrm {D}^{(2)}_{n}. Algebras and Representation Theory. 2023. 26. 5. 2181-2233
Yuki Kanakubo. Polyhedral realizations for crystal bases of integrable highest weight modules and combinatorial objects of type $\mathrm {A}^{(1)}_{n-1}$, $\mathrm {C}^{(1)}_{n-1}$, $\mathrm {A}^{(2)}_{2n-2}$, $\mathrm {D}^{(2)}_{n}. Letters in Mathematical Physics. 2023. 113. 60. 1-50
YUKI KANAKUBO, TOSHIKI NAKASHIMA. HALF POTENTIAL ON GEOMETRIC CRYSTALS AND CONNECTEDNESS OF CELLULAR CRYSTALS. Transformation Groups. 2023. 28. 1. 327-373
Yuki Kanakubo, Gleb Koshevoy, Toshiki Nakashima. An algorithm for Berenstein-Kazhdan decoration functions and trails for minuscule representations. Journal of Algebra. 2022. 608. 106-142
Yuki Kanakubo, Toshiki Nakashima. Explicit forms of polyhedral realizations of crystal bases associated with adapted sequences. Toyama Mathematical Journal. 2021. 42. 1-28
Kanakubo Yuki. Finite type cluster algebras and Demazure crystals (リー型の組合せ論). 数理解析研究所講究録. 2017. 2039. 126-138
Kanakubo Yuki. Cluster Variables on Double Bruhat Cells and Monomial Realizations of Crystal Bases (New Developments of Representation Theory and Harmonic Analysis). RIMS Kokyuroku. 2014. 1925. 47-55
Lectures and oral presentations (30)：
Inequalities defining polyhedral realizations and monomial realizations of crystal bases
(Combinatorics and Arithmetic for Physics : special days 2024)
Polyhedral realizations and Young walls of classical affine types
("Crystal Bases and Then..." - Conference in honor of Toshiki Nakashima's 60th birthday - 2024)
An algorithm for Berenstein-Kazhdan decoration functions on classical groups
(Cologne Algebra and Representation Theory Seminar 2023)
Polyhedral realizations for crystal bases and extended Young diagrams of affine type A^{(1)}_{n-1}
(MPI-Oberseminar 2023)
Inequalities defining polyhedral realizations of affine types and extended Young diagrams
(Combinatorics and Arithmetic for Physics: special days, Tenth Anniversary Edition 2023)
