Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke A general Chevalley formula for semi-infinite flag manifolds and quantum \(K\)-theory. (English) Zbl 1537.14070 Sel. Math., New Ser. 30, No. 3, Paper No. 39, 44 p. (2024). Reviewer: Mee Seong Im (Annapolis) MSC: 14M15 14N15 14N10 05E14 17B37 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kouno, Takafumi; Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke Quantum \(K\)-theory Chevalley formulas in the parabolic case. (English) Zbl 1534.14056 J. Algebra 645, 1-53 (2024). Reviewer: Mee Seong Im (Annapolis) MSC: 14N15 14M15 05E10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Lenart, Cristian; Naito, Satoshi; Orr, Daniel; Sagaki, Daisuke Inverse \(K\)-Chevalley formulas for semi-infinite flag manifolds. II: Arbitrary weights in ADE type. (English) Zbl 1530.20017 Adv. Math. 423, Article ID 109037, 63 p. (2023). MSC: 20C08 17B37 14M15 14N15 33D52 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maeno, Toshiaki; Naito, Satoshi; Sagaki, Daisuke A presentation of the torus-equivariant quantum \(K\)-theory ring of flag manifolds of type \(A\), Part II: quantum double Grothendieck polynomials. arXiv:2305.17685 Preprint, arXiv:2305.17685 [math.QA] (2023). MSC: 14N15 14N35 14M15 05E14 05E05 × Cite Format Result Cite Full Text: arXiv OA License
Maeno, Toshiaki; Naito, Satoshi; Sagaki, Daisuke A presentation of the torus-equivariant quantum \(K\)-theory ring of flag manifolds of type \(A\), Part I: the defining ideal. arXiv:2302.09485 Preprint, arXiv:2302.09485 [math.QA] (2023). MSC: 14M15 14N35 14N15 05E10 20C08 × Cite Format Result Cite Full Text: arXiv OA License
Kouno, Takafumi; Naito, Satoshi; Sagaki, Daisuke Chevalley formula for anti-dominant minuscule fundamental weights in the equivariant quantum \(K\)-group of partial flag manifolds. (English) Zbl 1505.17006 J. Comb. Theory, Ser. A 192, Article ID 105670, 42 p. (2022). MSC: 17B10 14M15 19L47 81R50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Naito, Satoshi; Sagaki, Daisuke Pieri-type multiplication formula for quantum Grothendieck polynomials. arXiv:2211.01578 Preprint, arXiv:2211.01578 [math.QA] (2022). MSC: 05E05 05E14 14M15 14N35 14N15 × Cite Format Result Cite Full Text: arXiv OA License
Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke A combinatorial Chevalley formula for semi-infinite flag manifolds and its applications. (English. French summary) Zbl 1505.05144 Sémin. Lothar. Comb. 85B, Article 22, 12 p. (2021). MSC: 05E10 05E14 14M15 14N15 81R50 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Kouno, Takafumi; Naito, Satoshi; Orr, Daniel; Sagaki, Daisuke Inverse \(K\)-Chevalley formulas for semi-infinite flag manifolds. I: Minuscule weights in ADE type. (English) Zbl 1527.20003 Forum Math. Sigma 9, Paper No. e51, 25 p. (2021). MSC: 20C08 17B37 14M15 19L47 33D52 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Naito, Satoshi; Orr, Daniel; Sagaki, Daisuke Chevalley formula for anti-dominant weights in the equivariant \(K\)-theory of semi-infinite flag manifolds. (English) Zbl 1515.17031 Adv. Math. 387, Article ID 107828, 59 p. (2021). Reviewer: Shintaro Yanagida (Nagoya) MSC: 17B37 14N15 14M15 33D52 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kouno, Takafumi; Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Kouno, with an Appendix by Takafumi; Lenart, Cristian; Naito, Satoshi; Sagaki, Daisuke; Xu, Weihong Quantum K-theory Chevalley formulas in the parabolic case. arXiv:2109.11596 Preprint, arXiv:2109.11596 [math.CO] (2021). MSC: 14N15 14M15 05E10 × Cite Format Result Cite Full Text: arXiv OA License
Kato, Syu; Naito, Satoshi; Sagaki, Daisuke Equivariant \(K\)-theory of semi-infinite flag manifolds and the Pieri-Chevalley formula. (English) Zbl 1475.17024 Duke Math. J. 169, No. 13, 2421-2500 (2020). Reviewer: Huafeng Zhang (Villeneuve d’Ascq) MSC: 17B37 14N15 33D52 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Kato, Syu; Naito, Satoshi; Sagaki, Daisuke Tensor products and Minkowski sums of Mirković-Vilonen polytopes. (English) Zbl 1280.17018 Transform. Groups 17, No. 1, 195-207 (2012). MSC: 17B37 20G05 17B10 14M15 05E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kato, Syu; Naito, Satoshi; Sagaki, Daisuke Polytopal estimate of Mirković-Vilonen polytopes lying in a Demazure crystal. (English) Zbl 1219.17011 Adv. Math. 226, No. 3, 2587-2617 (2011). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 14M15 17B10 14L35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Naito, Satoshi; Sagaki, Daisuke Mirković-Vilonen polytopes lying in a Demazure crystal and an opposite Demazure crystal. (English) Zbl 1194.17008 Adv. Math. 221, No. 6, 1804-1842 (2009). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 14M15 17B10 14L35 20G10 52B12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Naito, Satoshi; Sagaki, Daisuke A modification of the Anderson-Mirković conjecture for Mirković-Vilonen polytopes in types \(B\) and \(C\). (English) Zbl 1153.22016 J. Algebra 320, No. 1, 387-416 (2008). Reviewer: Ivan V. Arzhantsev (Moskva) MSC: 22E46 14C25 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv