@article{CTT100918031, author = {Cristian Lenart and Satoshi Naito and Daisuke Sagaki}, title = {A general Chevalley formula for semi-infinite flag manifolds and quantum K-theory}, journal = {Selecta Mathematica (New Sries)}, year = 2024, } @article{CTT100918028, author = {Takeshi Ikeda and Shinsuke Iwao and Satoshi Naito}, title = {Closed k-Schur Katalan functions as K-homology Schubert representatives of the affine Grassmannian}, journal = {Transactions of the American Mathematical Society, Series B}, year = 2024, } @article{CTT100918024, author = {Takafumi Kouno and Cristian Lenart and Satoshi Naito and Daisuke Sagaki}, title = {Quantum K-theory Chevalley formulas in the parabolic case}, journal = {Journal of Algebra}, year = 2024, } @article{CTT100918023, author = {Takafumi Kouno and Cristian Lenart and Satoshi Naito}, title = {New structure on the quantum alcove model with applications to representation theory and Schubert calculus}, journal = {Journal of Combinatorial Algebra}, year = 2023, } @article{CTT100918025, author = {Takafumi Kouno and Satoshi Naito and Daniel Orr}, title = {Identities of inverse Chevalley type for the graded characters of level-zero Demazure submodules over quantum affine algebras of type C}, journal = {Algebras and Representation Theory}, year = 2023, } @article{CTT100892463, author = {Cristian Lenart and Satoshi Naito and Daniel Orr and Daisuke Sagaki}, title = {Inverse K-Chevalley formulas for semi-infinite flag manifolds, II: Arbitrary weights in ADE type}, journal = {Advances in Mathematics}, year = 2023, } @article{CTT100892461, author = {Takafumi Kouno and Satoshi Naito and Daisuke Sagaki}, title = {Chevalley formula for anti-dominant minuscule fundamental weights in the equivariant K-group of partial flag manifolds}, journal = {J. Combin. Theory Ser. A}, year = 2022, } @article{CTT100833274, author = {Satoshi Naito and Daisuke Sagaki}, title = {Level-zero van der Kallen modules and specialization of nonsymmetric Macdonald polynomials at t = infinity}, journal = {Transformation Groups}, year = 2021, } @article{CTT100856443, author = {Satoshi Naito and Takafumi Kouno and Daniel Orr and Daisuke Sagaki}, title = {Inverse K-Chevalley formulas for semi-infinite flag manifolds, I: minuscule weights in ADE type}, journal = {Forum of Mathematics, Sigma}, year = 2021, } @article{CTT100855790, author = {Satoshi Naito and Daniel Orr and Daisuke Sagaki}, title = {Chevalley formula for anti-dominant weights in the equivariant K-theory of semi-infinite flag manifolds}, journal = {Adv. Math.}, year = 2021, } @article{CTT100833273, author = {Syu Kato and Satoshi Naito and Daisuke Sagaki}, title = {Equivariant K-theory of semi-infinite flag manifolds and the Pieri-Chevalley formula}, journal = {Duke Mathematical Journal}, year = 2020, } @article{CTT100814838, author = {Satoshi Naito and Fumihiko Nomoto and Daisuke Sagaki}, title = {Tensor product decomposition theorem for quantum Lakshmibai-Seshadri paths and standard monomial theory for semi-infinite Lakshmibai-Seshadri paths}, journal = {J. Combin. Theory Ser. A}, year = 2020, } @article{CTT100809715, author = {Satoshi Naito and Fumihiko Nomoto and Daisuke Sagaki}, title = {Representation-theoretic interpretation of Cherednik-Orr's Recursion Formula for the specialization of nonsymmetric Macdonald polynomials at t = infinity}, journal = {Transformation Groups}, year = 2019, } @article{CTT100748166, author = {Satoshi Naito and Fumihiko Nomoto and Daisuke Sagaki}, title = {Specialization of nonsymmetric Macdonald polynomials at t = infinity and Demazure submodules of level-zero extremal weight modules}, journal = {Transactions of the American Mathematical Society}, year = 2018, } @article{CTT100784794, author = {Anne Schilling and Mark Shimozono and Daisuke Sagaki and Anne Schilling and Mark Shimozono and Daisuke Sagaki and Cristian Lenart and Anne Schilling and Mark Shimozono and Daisuke Sagaki and Anne Schilling and Mark Shimozono and Daisuke Sagaki and Cristian Lenart and Satoshi Naito and Anne Schilling and Mark Shimozono and Daisuke Sagaki}, title = {A uniform model for Kirillov-Reshetikhin crystals III: nonsymmetric Macdonald polynomials at t = 0 and Demazure characters}, journal = {Transform. Groups}, year = 2017, } @article{CTT100714358, author = {Cristian Lenart and Satoshi Naito and Anne Schilling and Mark Shimozono and Daisuke Sagaki}, title = {A unifor model for Kirillov-Reshetikhin crystals II: Alcove model, Path model, and P = X}, journal = {International Mathematics Research Notices}, year = 2017, } @article{CTT100748164, author = {Satoshi Naito and Hideya Watanabe}, title = {A combinatorial formula expressing periodic R-polynomials}, journal = {Journal of Combinatorial Theory Series A}, year = 2017, } @article{CTT100714364, author = {Naoki Fujita and Satoshi Naito}, title = {Newton-Okounkov convex bodies of Schubert varieties and polyhedral realizations of crystal bases}, journal = {Math. Z.}, year = 2017, } @article{CTT100714360, author = {Satoshi Naito and Daisuke Sagaki}, title = {Demazure submodules of level-zero extremal weight modules and specializations of Macdonald polynomials}, journal = {Math. Z.}, year = 2016, } @article{CTT100748163, author = {Motohiro Ishii and Satoshi Naito and Daisuke Sagaki}, title = {Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras}, journal = {Advances in Mathematics}, year = 2016, } @article{CTT100714367, author = {Cristian Lenart and Satoshi Naito and Anne Schilling and Mark Shimozono and Daisuke Sagaki}, title = {Quantum Lakshmibai-Seshadri paths and root operators}, journal = {Advanced Studies in Pure Mathematics}, year = 2016, } @article{CTT100714340, author = {Cristian Lenart and Satoshi Naito and Anne Schilling and Mark Shimozono and Daisuke Sagaki}, title = {Explicit description of the degree function in terms of quantum Lakshmibai-Seshadri paths}, journal = {Toyama Mathematical Jounal}, year = 2015, } @article{CTT100714332, author = {Cristian Lenart and Satoshi Naito and Anne Schilling and Mark Shimozono and Daisuke Sagaki}, title = {A uniform model for Kirillov-Reshetikhin crystals I: Lifting the parabolic quantum Bruhat graph}, journal = {International Mathematics Research Notices}, year = 2014, } @article{CTT100801192, author = {Satoshi Naito and Daisuke Sagaki and Yosihisa Saito}, title = {Toward Berenstein-zelevinsky data in affine type A, part III: Proof of the connectedness}, journal = {Springer Proceedings in Mathematics and Statistics}, year = 2013, } @article{CTT100802385, author = {Satoshi Naito and Daisuke Sagaki and Yoshihisa Saito}, title = {Toward Berenstein-Zelevinsky data in affine type A, Part II: Explicit description}, journal = {ALGEBRAIC GROUPS AND QUANTUM GROUPS}, year = 2012, } @article{CTT100802372, author = {Sagaki, Daisuke and Saito, Yoshihisa and Daisuke Sagaki and Yoshihisa Saito and Satoshi Naito and Daisuke Sagaki and Yoshihisa Saito}, title = {Toward Berenstein-Zelevinsky data in affine type A, Part I: Construction of the affine analogs}, journal = {ALGEBRAIC GROUPS AND QUANTUM GROUPS}, year = 2012, } @article{CTT100801766, author = {Satoshi Naito and Sagaki, D.}, title = {Tensor product multiplicities for crystal bases of extremal weight modules over quantum infinite rank affine algebras of types B ∞, C ∞, and D ∞}, journal = {Transactions of the American Mathematical Society}, year = 2012, } @inproceedings{CTT100918041, author = {Satoshi Naito}, title = {A presentation of the torus-equivariant quantum K-theory ring of flag manifolds of type A}, booktitle = {}, year = 2024, } @inproceedings{CTT100814841, author = {Satoshi Naito}, title = {Description of the Chevalley formula for the torus-equivariant quantum K-group of partial flag manifolds of (co-) minuscule type in terms of the parabolic quantum Bruhat graph}, booktitle = {}, year = 2019, } @inproceedings{CTT100814839, author = {Satoshi Naito}, title = {A description of the Z[P]-module structure of the K-theory of the finite-dimensional flag manifold in terms of a generalization of LS paths}, booktitle = {}, year = 2019, } @inproceedings{CTT100784796, author = {Satoshi Naito}, title = {Chevalley formula in the equivariant K-theory of semi-infinite flag manifolds}, booktitle = {}, year = 2018, } @inproceedings{CTT100784797, author = {Satoshi Naito}, title = {Pieri-Chevalley formula in the equivariant K-theory of semi-infinite flag manifolds}, booktitle = {}, year = 2018, } @inproceedings{CTT100784798, author = {Satoshi Naito}, title = {Pieri-Chevalley formula in the equivariant K-theory of semi-infinite flag manifolds}, booktitle = {}, year = 2018, } @inproceedings{CTT100784799, author = {内藤聡}, title = {量子アフィン代数の表現論}, booktitle = {}, year = 2018, } @inproceedings{CTT100784800, author = {Satoshi Naito}, title = {Level-zero van der Kallen modules and specialization of nonsymmetric Macdonald polynomials at infinity}, booktitle = {}, year = 2018, } @inproceedings{CTT100784801, author = {Satoshi Naito}, title = {Level-zero van der Kallen modules and specialization of nonsymmetric Macdonald polynomials at infinity}, booktitle = {}, year = 2017, } @inproceedings{CTT100748170, author = {Satoshi Naito}, title = {Standard Monomial Theory for Semi-infinite LS Paths and Semi-infinite Flag Manifolds}, booktitle = {}, year = 2017, } @inproceedings{CTT100802366, author = {Lenart, Cristian and Satoshi Naito and Sagaki, Daisuke and Schilling, Anne and Shimozono, Mark}, title = {AFFINE CRYSTALS, MACDONALD POLYNOMIALS AND COMBINATORIAL MODELS EXTENDED ABSTRACT}, booktitle = {REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES}, year = 2017, } @inproceedings{CTT100748169, author = {Satoshi Naito}, title = {Pieri-Chevalley type formula for equivariant K-theory of semi-infinite flag manifolds}, booktitle = {}, year = 2016, } @inproceedings{CTT100714387, author = {Satoshi Naito}, title = {Standard monomial theory for semi-infinite LS paths with geometric application}, booktitle = {}, year = 2016, } @inproceedings{CTT100714386, author = {内藤聡}, title = {アフィン量子群上の extremal ウエイト加群の Demazure 部分加群の指標公式と、非対称 Macdonald 多項式の特殊化}, booktitle = {}, year = 2016, } @inproceedings{CTT100714377, author = {Satoshi Naito}, title = {Symmetric Macdonald polynomials and pseudo-quantum Lakshmibai-Seshadri paths}, booktitle = {}, year = 2016, } @inproceedings{CTT100714376, author = {内藤聡}, title = {対称 Macdonald 多項式の t = 0 における特殊化と、アフィン量子群の有限次元表現}, booktitle = {}, year = 2015, } @inproceedings{CTT100714378, author = {Satoshi Naito}, title = {Specializations of symmetric Macdonald polynomials and pseudoQLS paths}, booktitle = {}, year = 2015, } @inproceedings{CTT100714380, author = {Satoshi Naito}, title = {Comparison of the two specializations of nonsymmetric Macdonald polynomials: at zero and at infinity}, booktitle = {}, year = 2015, } @inproceedings{CTT100801767, author = {Lenart, C. and Satoshi Naito and Sagaki, D. and Schilling, A. and Shimozono, M.}, title = {A uniform model for kirillov-reshetikhin crystals}, booktitle = {Discrete Mathematics and Theoretical Computer Science}, year = 2013, }