Toshiki Nakashima

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Person:367013

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zbMath Open nakashima.toshikiMaRDI QIDQ367013

List of research outcomes

PublicationDate of PublicationType
Half potential on geometric crystals and connectedness of cellular crystals2023-03-14Paper
Categorified Crystal Structure on Localized Quantum Coordinate Rings2022-08-17Paper
An algorithm for Berenstein-Kazhdan decoration functions and trails for minuscule representations2022-08-04Paper
https://portal.mardi4nfdi.de/entity/Q50915642022-07-26Paper
An algorithm for Berenstein-Kazhdan decoration functions and trails for classical Lie algebras2022-07-16Paper
Adapted sequences and polyhedral realizations of crystal bases for highest weight modules2021-03-09Paper
Adapted sequence for polyhedral realization of crystal bases2020-09-03Paper
Decomposition theorem for product of fundamental crystals in monomial realization2020-08-03Paper
Geometric crystals and cluster ensembles in Kac-Moody setting2020-02-26Paper
Half Potential on Geometric Crystals and Connectedness of Cellular Crystals2019-10-14Paper
Cluster algebras of finite type via Coxeter elements and Demazure crystals of type A2019-09-11Paper
Cluster Variables on Double Bruhat Cells $G^{u,e}$ of Classical Groups and Monomial Realizations of Demazure Crystals2019-09-09Paper
Affine geometric crystal of \(A_n^{(1)}\) and limit of Kirillov-Reshetikhin perfect crystals2018-06-05Paper
Explicit forms of cluster variables on double Bruhat cells \(G^{u,e}\) of type C2017-06-08Paper
Decorated Geometric Crystals and Polyhedral Realizations of type D_n2016-01-27Paper
Cluster variables on certain double Bruhat cells of type \((u,e)\) and monomial realizations of crystal bases of type A2015-07-08Paper
Decorations on geometric crystals and monomial realizations of crystal bases for classical groups2014-08-12Paper
Decorated Geometric Crystals, Polyhedral and Monomial Realizations of Crystal Bases2014-06-24Paper
RSK type correspondence of pictures and Littlewood-Richardson crystals2013-09-25Paper
$A^{(1)}_{n}$ -Geometric Crystal Corresponding to Dynkin Index i=2 and Its Ultra-Discretization2013-07-31Paper
Ultra-discretization of the \(D_4^{(3)}\)-geometric crystal to the \(G_2^{(1)}\)-perfect crystals2012-05-02Paper
Pictures and Littlewood-Richardson crystals2012-04-03Paper
Admissible Pictures and Littlewood–Richardson Crystals2012-01-25Paper
Geometric crystals on flag varieties and unipotent subgroups of classical groups2011-10-11Paper
Ultra-Discretization of the affine G_2 Geometric Crystals to Perfect Crystals2011-07-13Paper
Affine Geometric Crystal of type $D_4^{(3)}$2011-05-31Paper
Tropical R maps and affine geometric crystals2011-01-21Paper
Epsilon systems on geometric crystals of type \(A_n\)2010-05-17Paper
https://portal.mardi4nfdi.de/entity/Q58527422010-01-27Paper
https://portal.mardi4nfdi.de/entity/Q36026452009-02-12Paper
Affine geometric crystals and limit of perfect crystals2008-06-27Paper
https://portal.mardi4nfdi.de/entity/Q54576032008-04-14Paper
Nilpotent representations of classical quantum groups at roots of unity2007-05-16Paper
Evaluation representations of quantum affine algebras at roots of unity2007-05-16Paper
https://portal.mardi4nfdi.de/entity/Q34163302007-01-19Paper
Geometric crystals on unipotent groups and generalized Young tableaux2005-12-06Paper
Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Type A2005-08-25Paper
Geometric crystals on Schubert varieties2005-06-13Paper
Irreducible modules of finite dimensional quantum algebras of type A at roots of unity2004-12-14Paper
On certain maximal cyclic modules for the quantized special linear algebra at a root of unity.2004-09-16Paper
Extremal projectors of \(q\)-boson algebras2004-01-19Paper
Polytopes for Crystallized Demazure Modules and Extremal Vectors2002-08-28Paper
https://portal.mardi4nfdi.de/entity/Q49457322000-06-07Paper
Polyhedral realizations of crystal bases for integrable highest weight modules2000-01-09Paper
AFFINE CRYSTALS AND VERTEX MODELS1999-07-12Paper
https://portal.mardi4nfdi.de/entity/Q43453571998-03-24Paper
Polyhedral realizations of crystal bases for quantized Kac-Moody algebras1997-11-04Paper
Crystallized Peter-Weyl type decomposition for level 0 part of modified quantum algebra \(\tilde U_ q(\widehat{\mathfrak{sl}_ 2})_ 0\)1997-10-15Paper
Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras1995-03-16Paper
Quantum \(R\)-matrix and intertwiners for the Kashiwara algebra1994-09-27Paper
Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras1994-09-25Paper
Perfect crystals of quantum affine Lie algebras1993-11-14Paper
https://portal.mardi4nfdi.de/entity/Q40221941993-01-17Paper
A basis of symmetric tensor representations for the quantum analogue of the Lie algebras \(B_ n, C_ n\) and \(D_ n\)1992-06-25Paper

Research outcomes over time


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