Toshiki Nakashima

发表

Admissible Pictures and Littlewood–Richardson Crystals

Toshiki Nakashima, M. Shimojo, 2009, 0908.2366.

Decomposition Theorem for Product of Fundamental Crystals in Monomial Realization

Toshiki Nakashima, Manal Alshuqayr, 2018, 1807.11081.

Cluster Variables on Certain Double Bruhat Cells of Type (u;e) and Monomial Realizations of Crystal Bases of Type A ?

Toshiki Nakashima, Yuki Kanakubo, 2014, 1409.8622.

RSK type correspondence of Pictures and Littlewood-Richardson Crystals

Toshiki Nakashima, M. Shimojo, 2010, 1005.5588.

Pictures and Littlewood-Richardson crystals

Toshiki Nakashima, M. Shimojo, 2009, 0904.1706.

Perfect crystals of quantum affine Lie algebras

T. Miwa, Seok-Jin Kang, M. Kashiwara, 1992 .

Polyhedral Realizations of Crystal Bases for Quantized Kac-Moody Algebras

A. Zelevinsky, Toshiki Nakashima, 1997, q-alg/9703045.

Crystal Graphs for Representations of the q-Analogue of Classical Lie Algebras

Masaki Kashiwara, Toshiki Nakashima, M. Kashiwara, 1994 .

Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras

Toshiki Nakashima, Toshiki Nakashima, 1993 .

Tropical R maps and Affine Geometric Crystals

M. Kashiwara, M. Okado, Toshiki Nakashima, 2008, 0808.2411.

Affine geometric crystals and limit of perfect crystals

M. Kashiwara, M. Okado, Toshiki Nakashima, 2005, math/0512657.

AFFINE CRYSTALS AND VERTEX MODELS

T. Miwa, Seok-Jin Kang, M. Kashiwara, 1992 .

Polyhedral Realizations of Crystal Bases and Braid-type Isomorphisms

Toshiki Nakashima, 1999, math/9906100.

Polyhedral Realizations of Crystal Bases for Integrable Highest Weight Modules

Toshiki Nakashima, 1998, math/9806085.

QUANTUM AFFINE SYMMETRY IN VERTEX MODELS

M. Jimbo, T. Miwa, T. Tokihiro, 1992, hep-th/9208066.

Evaluation representations of quantum affine algebras at roots of unity

Toshiki Nakashima, Y. Abe, 2006, math/0601049.

QuantumR-matrix and intertwiners for the Kashiwara algebra

Toshiki Nakashima, 1993, hep-th/9307130.

HALF POTENTIAL ON GEOMETRIC CRYSTALS AND CONNECTEDNESS OF CELLULAR CRYSTALS

Toshiki Nakashima, Yuki Kanakubo, 2019, Transformation Groups.

Adapted sequences and polyhedral realizations of crystal bases for highest weight modules

Toshiki Nakashima, Yuki Kanakubo, 2020, Journal of Algebra.

Adapted sequence for polyhedral realization of crystal bases

Toshiki Nakashima, Yuki Kanakubo, 2019, Communications in Algebra.

Decorated Geometric Crystals and Polyhedral Realizations of type D_n

Toshiki Nakashima, 2013, 1308.0981.

Decorations on Geometric Crystals and Monomial Realizations of Crystal Bases for Classical Groups

Toshiki Nakashima, 2013, 1301.7301.

Decorated Geometric Crystals, Polyhedral and Monomial Realizations of Crystal Bases

Toshiki Nakashima, 2012, 1203.2112.

Geometric crystals on unipotent groups and generalized Young tableaux

Toshiki Nakashima, 2004, math/0403234.

Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Type A

Toshiki Nakashima, A. Hoshino, 2004, math/0401087.

Geometric crystals on Schubert varieties

Toshiki Nakashima, 2003, math/0303087.

Polytopes for Crystallized Demazure Modules and Extremal Vectors

Toshiki Nakashima, 2000, math/0002015.

Categorified Crystal Structure on Localized Quantum Coordinate Rings

Toshiki Nakashima, 2022, 2208.08396.

Crystallized structure for level 0 part of modified quantum affine algebra Uq (sl2)

Toshiki Nakashima, 1995, Compositio Mathematica.

Affine geometric crystal ofAn(1)and limit of Kirillov–Reshetikhin perfect crystals

K. Misra, Toshiki Nakashima, 2016, Journal of Algebra.

A^{(1)}_{n}-Geometric Crystal Corresponding to Dynkin Index i=2 and Its Ultra-Discretization

K. Misra, Toshiki Nakashima, 2012, 1209.4565.

Geometric crystals on flag varieties and unipotent subgroups of classical groups

Toshiki Nakashima, M. Igarashi, 2010, 1003.0832.

Ultra-discretization of the D_4^3-Geometric Crystals to the G_2^1-Perfect Crystals

K. Misra, Toshiki Nakashima, M. Igarashi, 2010, 1003.1242.

Epsilon Systems on Geometric Crystals of type A n

Toshiki Nakashima, 2009, 0911.3562.

Affine Geometric Crystal of type $D_4^{(3)}$

Toshiki Nakashima, M. Igarashi, 2009, 0911.3556.

Ultra-discretization of the G^(1)_2-Geometric Crystals to the D^(3)_4-Perfect Crystals

Toshiki Nakashima, 2007, 0712.3894.

Affine Geometric Crystal of type $G^{(1)}_2$

Toshiki Nakashima, 2006, math/0612858.

An Algorithm for Berenstein–Kazhdan Decoration Functions and Trails for Classical Lie Algebras

G. Koshevoy, Toshiki Nakashima, Yuki Kanakubo, 2022, International Mathematics Research Notices.

An algorithm for Berenstein-Kazhdan decoration functions and trails for minuscule representations

Yuki Kanakubo, Gleb Koshevoy, Toshiki Nakashima, 2021, Journal of Algebra.

Algebraic analysis and around : in honor of professor Masaki Kashiwara's 60th birthday

Yoshihisa Saito, A. Matsuo, Toshiki Nakashima, 2009 .

HALF POTENTIAL ON GEOMETRIC CRYSTALS AND CONNECTEDNESS OF CELLULAR CRYSTALS

Toshiki Nakashima, Yuki Kanakubo, 2019, Transformation Groups.

Cluster algebras of finite type via Coxeter elements and Demazure crystals of type A

Toshiki Nakashima, Yuki Kanakubo, 2017, Journal of Algebra.

Cluster Variables on Double Bruhat Cells $G^{u,e}$ of Classical Groups and Monomial Realizations of Demazure Crystals

Toshiki Nakashima, Yuki Kanakubo, 2016, 1604.05956.

Q A ] 2 9 A pr 2 01 5 Explicit Forms of Cluster Variables on Double Bruhat Cells

Toshiki Nakashima, 2015 .

Geometric crystals and cluster ensembles in Kac–Moody setting

Toshiki Nakashima, Yuki Kanakubo, 2018, Journal of Geometry and Physics.