Fink, Alex; Mészáros, Karola; Dizier, Avery St. Zero-one Schubert polynomials. (English) Zbl 07333869 Math. Z. 297, No. 3-4, 1023-1042 (2021). MSC: 14N15 14M15 05E14 05A05 PDF BibTeX XML Cite \textit{A. Fink} et al., Math. Z. 297, No. 3--4, 1023--1042 (2021; Zbl 07333869) Full Text: DOI
Richmond, Edward; Tewari, Vasu Noncommutative LR coefficients and crystal reflection operators. (English) Zbl 07329424 Algebr. Comb. 4, No. 1, 145-162 (2021). MSC: 05E05 05A05 05E10 20C30 PDF BibTeX XML Cite \textit{E. Richmond} and \textit{V. Tewari}, Algebr. Comb. 4, No. 1, 145--162 (2021; Zbl 07329424) Full Text: DOI
Brubaker, Ben; Buciumas, Valentin; Bump, Daniel; Gustafsson, Henrik P. A. Colored five-vertex models and Demazure atoms. (English) Zbl 07304660 J. Comb. Theory, Ser. A 178, Article ID 105354, 49 p. (2021). MSC: 05E10 16T25 82B23 05E05 PDF BibTeX XML Cite \textit{B. Brubaker} et al., J. Comb. Theory, Ser. A 178, Article ID 105354, 49 p. (2021; Zbl 07304660) Full Text: DOI
Monical, Cara; Pechenik, Oliver; Searles, Dominic Polynomials from combinatorial \(K\)-theory. (English) Zbl 1456.05171 Can. J. Math. 73, No. 1, 29-62 (2021). MSC: 05E05 14N15 16T05 16T30 14M15 PDF BibTeX XML Cite \textit{C. Monical} et al., Can. J. Math. 73, No. 1, 29--62 (2021; Zbl 1456.05171) Full Text: DOI
Fan, Neil J. Y.; Guo, Peter L. Vertices of Schubitopes. (English) Zbl 1448.05207 J. Comb. Theory, Ser. A 177, Article ID 105311, 20 p. (2021). MSC: 05E05 05E10 52B05 14M15 14N15 PDF BibTeX XML Cite \textit{N. J. Y. Fan} and \textit{P. L. Guo}, J. Comb. Theory, Ser. A 177, Article ID 105311, 20 p. (2021; Zbl 1448.05207) Full Text: DOI
Wang, George Locks fit into keys: a crystal analysis of lock polynomials. (English) Zbl 07328835 Ann. Comb. 24, No. 4, 767-789 (2020). MSC: 05E10 05E05 PDF BibTeX XML Cite \textit{G. Wang}, Ann. Comb. 24, No. 4, 767--789 (2020; Zbl 07328835) Full Text: DOI
Pechenik, Oliver; Searles, Dominic Asymmetric function theory. (English) Zbl 1446.05092 Hu, Jianxun (ed.) et al., Schubert calculus and its applications in combinatorics and representation theory. Selected papers presented at the “International Festival in Schubert Calculus”, Guangzhou, China, November 6–10, 2017. Singapore: Springer. Springer Proc. Math. Stat. 332, 73-112 (2020). MSC: 05E14 14N15 05E05 14M15 05E10 PDF BibTeX XML Cite \textit{O. Pechenik} and \textit{D. Searles}, Springer Proc. Math. Stat. 332, 73--112 (2020; Zbl 1446.05092) Full Text: DOI
Lebed, Victoria Plactic monoids: a braided approach. (English) Zbl 07251665 J. Algebra 564, 325-352 (2020). MSC: 20M50 16T25 16E40 55N35 16S15 PDF BibTeX XML Cite \textit{V. Lebed}, J. Algebra 564, 325--352 (2020; Zbl 07251665) Full Text: DOI
Santos, Joâo Miguel Symplectic keys and Demazure atoms in type C. (English. French summary) Zbl 1447.05233 Sémin. Lothar. Comb. 84B, 84B.49, 12 p. (2020). MSC: 05E10 PDF BibTeX XML Cite \textit{J. M. Santos}, Sémin. Lothar. Comb. 84B, 84B.49, 12 p. (2020; Zbl 1447.05233) Full Text: Link
Pechenik, Oliver; Scrimshaw, Travis K-theoretic crystals for set-valued tableaux of rectangular shapes. (English) Zbl 1456.05175 Sémin. Lothar. Comb. 84B, 84B.19, 12 p. (2020). Reviewer: Andrés Vindas Meléndez (Lexington) MSC: 05E10 PDF BibTeX XML Cite \textit{O. Pechenik} and \textit{T. Scrimshaw}, Sémin. Lothar. Comb. 84B, 84B.19, 12 p. (2020; Zbl 1456.05175) Full Text: Link
Fan, Neil J. Y.; Guo, Peter L.; Peng, Simon C. Y.; Sun, Sophie C. C. Lattice points in the Newton polytopes of key polynomials. (English) Zbl 07225935 SIAM J. Discrete Math. 34, No. 2, 1281-1289 (2020). MSC: 52B20 05E05 PDF BibTeX XML Cite \textit{N. J. Y. Fan} et al., SIAM J. Discrete Math. 34, No. 2, 1281--1289 (2020; Zbl 07225935) Full Text: DOI
Assaf, Sami; van Willigenburg, Stephanie Skew key polynomials and the key poset. (English) Zbl 1435.05214 Sémin. Lothar. Comb. 82B, 82B.77, 12 p. (2019). MSC: 05E10 05A17 05E05 06A07 PDF BibTeX XML Cite \textit{S. Assaf} and \textit{S. van Willigenburg}, Sémin. Lothar. Comb. 82B, 82B.77, 12 p. (2019; Zbl 1435.05214) Full Text: Link
Assaf, Sami; Searles, Dominic Skew polynomials and extended Schur functions. (English) Zbl 1436.05118 Sémin. Lothar. Comb. 82B, 82B.31, 12 p. (2019). MSC: 05E10 05E05 14M15 PDF BibTeX XML Cite \textit{S. Assaf} and \textit{D. Searles}, Sémin. Lothar. Comb. 82B, 82B.31, 12 p. (2019; Zbl 1436.05118) Full Text: Link
Monical, Cara; Pechenik, Oliver; Searles, Dominic \(K\)-theoretic polynomials. (English) Zbl 07181206 Sémin. Lothar. Comb. 82B, 82B.10, 12 p. (2019). MSC: 05E10 PDF BibTeX XML Cite \textit{C. Monical} et al., Sémin. Lothar. Comb. 82B, 82B.10, 12 p. (2019; Zbl 07181206) Full Text: Link
Fink, Alex; Mészáros, Karola; Dizier, Avery St. Schubert polynomials as integer point transforms of generalized permutahedra. (English) Zbl 1443.05179 Adv. Math. 332, 465-475 (2018). MSC: 05E05 05E10 14M15 14N15 05B35 52B40 20C30 52B20 PDF BibTeX XML Cite \textit{A. Fink} et al., Adv. Math. 332, 465--475 (2018; Zbl 1443.05179) Full Text: DOI
Assaf, Sami; Schilling, Anne A Demazure crystal construction for Schubert polynomials. (English) Zbl 1390.14162 Algebr. Comb. 1, No. 2, 225-247 (2018). Reviewer: Cenap Özel (Bolu) MSC: 14N15 05E10 05A05 05E05 05E18 20G42 PDF BibTeX XML Cite \textit{S. Assaf} and \textit{A. Schilling}, Algebr. Comb. 1, No. 2, 225--247 (2018; Zbl 1390.14162) Full Text: DOI
Assaf, Sami; Searles, Dominic Kohnert tableaux and a lifting of quasi-Schur functions. (English) Zbl 1381.05084 J. Comb. Theory, Ser. A 156, 85-118 (2018). MSC: 05E05 05E10 PDF BibTeX XML Cite \textit{S. Assaf} and \textit{D. Searles}, J. Comb. Theory, Ser. A 156, 85--118 (2018; Zbl 1381.05084) Full Text: DOI arXiv
Assaf, Sami; Searles, Dominic Slide polynomials. (English. French summary) Zbl 1384.05164 Sémin. Lothar. Comb. 78B, 78B.11, 12 p. (2017). MSC: 05E10 05E05 14N15 PDF BibTeX XML Cite \textit{S. Assaf} and \textit{D. Searles}, Sémin. Lothar. Comb. 78B, 78B.11, 12 p. (2017; Zbl 1384.05164) Full Text: Link
Jones, Miles; Lapointe, Luc Pieri rules for Schur functions in superspace. (English) Zbl 1355.05257 J. Comb. Theory, Ser. A 148, 57-115 (2017). MSC: 05E05 05A15 PDF BibTeX XML Cite \textit{M. Jones} and \textit{L. Lapointe}, J. Comb. Theory, Ser. A 148, 57--115 (2017; Zbl 1355.05257) Full Text: DOI arXiv
Assaf, Sami; Searles, Dominic Schubert polynomials, slide polynomials, Stanley symmetric functions and quasi-Yamanouchi pipe dreams. (English) Zbl 1356.14039 Adv. Math. 306, 89-122 (2017). Reviewer: Cenap Özel (Bolu) MSC: 14M15 14N15 PDF BibTeX XML Cite \textit{S. Assaf} and \textit{D. Searles}, Adv. Math. 306, 89--122 (2017; Zbl 1356.14039) Full Text: DOI arXiv
Willis, Matthew J. Relating the right key to the type A filling map and minimal defining chains. (English) Zbl 1339.05425 Discrete Math. 339, No. 10, 2410-2416 (2016). MSC: 05E10 05E15 14M17 14M15 20G05 PDF BibTeX XML Cite \textit{M. J. Willis}, Discrete Math. 339, No. 10, 2410--2416 (2016; Zbl 1339.05425) Full Text: DOI
Lax, David C. Accessible proof of standard monomial basis for coordinatization of Schubert sets of flags. (English) Zbl 1382.14020 Linear Algebra Appl. 494, 105-137 (2016). MSC: 14M15 05E10 17B10 05E05 05E40 PDF BibTeX XML Cite \textit{D. C. Lax}, Linear Algebra Appl. 494, 105--137 (2016; Zbl 1382.14020) Full Text: DOI arXiv
Károlyi, Gyula; Lascoux, Alain; Warnaar, S. Ole Constant term identities and Poincaré polynomials. (English) Zbl 1320.05013 Trans. Am. Math. Soc. 367, No. 10, 6809-6836 (2015). MSC: 05A19 05E05 17B22 20F55 PDF BibTeX XML Cite \textit{G. Károlyi} et al., Trans. Am. Math. Soc. 367, No. 10, 6809--6836 (2015; Zbl 1320.05013) Full Text: DOI
Azenhas, O.; Emami, A. An analogue of the Robinson-Schensted-Knuth correspondence and non-symmetric Cauchy kernels for truncated staircases. (English) Zbl 1307.05221 Eur. J. Comb. 46, 16-44 (2015). MSC: 05E05 05E10 PDF BibTeX XML Cite \textit{O. Azenhas} and \textit{A. Emami}, Eur. J. Comb. 46, 16--44 (2015; Zbl 1307.05221) Full Text: DOI arXiv
Cain, Alan J.; Gray, Robert D.; Malheiro, António Finite Gröbner-Shirshov bases for plactic algebras and biautomatic structures for plactic monoids. (English) Zbl 1311.20055 J. Algebra 423, 37-53 (2015). Reviewer: Jan Okniński (Warszawa) MSC: 20M05 20M25 20M35 68Q42 16S15 16S36 13P10 05E15 PDF BibTeX XML Cite \textit{A. J. Cain} et al., J. Algebra 423, 37--53 (2015; Zbl 1311.20055) Full Text: DOI arXiv
Proctor, Robert A.; Willis, Matthew J. Semistandard tableaux for Demazure characters (key polynomials) and their atoms. (English) Zbl 1301.05363 Eur. J. Comb. 43, 172-184 (2015). MSC: 05E10 05E05 PDF BibTeX XML Cite \textit{R. A. Proctor} and \textit{M. J. Willis}, Eur. J. Comb. 43, 172--184 (2015; Zbl 1301.05363) Full Text: DOI arXiv
Haglund, James; Mason, Sarah; Remmel, Jeffrey Properties of the nonsymmetric Robinson-Schensted-Knuth algorithm. (English) Zbl 1271.05100 J. Algebr. Comb. 38, No. 2, 285-327 (2013). MSC: 05E05 05E10 PDF BibTeX XML Cite \textit{J. Haglund} et al., J. Algebr. Comb. 38, No. 2, 285--327 (2013; Zbl 1271.05100) Full Text: DOI
Willis, Matthew J. A direct way to find the right key of a semistandard Young tableau. (English) Zbl 1270.05100 Ann. Comb. 17, No. 2, 393-400 (2013). MSC: 05E10 17B10 PDF BibTeX XML Cite \textit{M. J. Willis}, Ann. Comb. 17, No. 2, 393--400 (2013; Zbl 1270.05100) Full Text: DOI arXiv
Haglund, J.; Luoto, K.; Mason, S.; Van Willigenburg, S. Refinements of the Littlewood-Richardson rule. (English) Zbl 1229.05269 Trans. Am. Math. Soc. 363, No. 3, 1665-1686 (2011). MSC: 05E05 05E10 33D52 PDF BibTeX XML Cite \textit{J. Haglund} et al., Trans. Am. Math. Soc. 363, No. 3, 1665--1686 (2011; Zbl 1229.05269) Full Text: DOI
Haglund, J.; Luoto, K.; Mason, S.; van Willigenburg, S. Quasisymmetric Schur functions. (English) Zbl 1229.05270 J. Comb. Theory, Ser. A 118, No. 2, 463-490 (2011). Reviewer: David Grabiner (Princeton) MSC: 05E05 PDF BibTeX XML Cite \textit{J. Haglund} et al., J. Comb. Theory, Ser. A 118, No. 2, 463--490 (2011; Zbl 1229.05270) Full Text: DOI arXiv
Brundan, Jonathan; Kleshchev, Alexander The degenerate analogue of Ariki’s categorification theorem. (English) Zbl 1287.17022 Math. Z. 266, No. 4, 877-919 (2010). MSC: 17B20 20C08 PDF BibTeX XML Cite \textit{J. Brundan} and \textit{A. Kleshchev}, Math. Z. 266, No. 4, 877--919 (2010; Zbl 1287.17022) Full Text: DOI arXiv
Mason, S. An explicit construction of type A Demazure atoms. (English) Zbl 1210.05175 J. Algebr. Comb. 29, No. 3, 295-313 (2009). MSC: 05E05 05E10 PDF BibTeX XML Cite \textit{S. Mason}, J. Algebr. Comb. 29, No. 3, 295--313 (2009; Zbl 1210.05175) Full Text: DOI
Lenart, Cristian; Postnikov, Alexander A combinatorial model for crystals of Kac-Moody algebras. (English) Zbl 1211.17021 Trans. Am. Math. Soc. 360, No. 8, 4349-4381 (2008). Reviewer: Nicolás Andruskiewitsch (Cordoba) MSC: 17B67 17B10 05E10 22E46 20G42 PDF BibTeX XML Cite \textit{C. Lenart} and \textit{A. Postnikov}, Trans. Am. Math. Soc. 360, No. 8, 4349--4381 (2008; Zbl 1211.17021) Full Text: DOI arXiv
Ion, Bogdan Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials. (English) Zbl 1150.22005 J. Algebra 319, No. 8, 3480-3517 (2008). Reviewer: Osman Yürekli (Ithaca) MSC: 22E50 20G25 33C52 PDF BibTeX XML Cite \textit{B. Ion}, J. Algebra 319, No. 8, 3480--3517 (2008; Zbl 1150.22005) Full Text: DOI arXiv
Lenart, Cristian On the combinatorics of crystal graphs. I: Lusztig’s involution. (English) Zbl 1129.05058 Adv. Math. 211, No. 1, 204-243 (2007). Reviewer: Vesselin Drensky (Sofia) MSC: 05E15 17B10 20G05 22E46 PDF BibTeX XML Cite \textit{C. Lenart}, Adv. Math. 211, No. 1, 204--243 (2007; Zbl 1129.05058) Full Text: DOI arXiv
Brundan, Jonathan Dual canonical bases and Kazhdan-Lusztig polynomials. (English) Zbl 1169.17008 J. Algebra 306, No. 1, 17-46 (2006). MSC: 17B37 PDF BibTeX XML Cite \textit{J. Brundan}, J. Algebra 306, No. 1, 17--46 (2006; Zbl 1169.17008) Full Text: DOI arXiv
Chen, William Y. C.; Yan, Guo-Guang; Yang, Arthur L. B. The skew Schubert polynomials. (English) Zbl 1055.05149 Eur. J. Comb. 25, No. 8, 1181-1196 (2004). MSC: 05E05 05E10 05A15 PDF BibTeX XML Cite \textit{W. Y. C. Chen} et al., Eur. J. Comb. 25, No. 8, 1181--1196 (2004; Zbl 1055.05149) Full Text: DOI
Taylor, Brian D. A straightening algorithm for row-convex tableaux. (English) Zbl 0967.05065 J. Algebra 236, No. 1, 155-191 (2001). Reviewer: Robert Marsh (Leicester) MSC: 05E10 20C30 20G05 17B10 PDF BibTeX XML Cite \textit{B. D. Taylor}, J. Algebra 236, No. 1, 155--191 (2001; Zbl 0967.05065) Full Text: DOI arXiv
Hivert, Florent Hecke algebras, difference operators, and quasi-symmetric functions. (English) Zbl 0990.05129 Adv. Math. 155, No. 2, 181-238 (2000). Reviewer: Angèle Hamel (Waterloo) MSC: 05E05 20C08 33D80 39A70 81R50 PDF BibTeX XML Cite \textit{F. Hivert}, Adv. Math. 155, No. 2, 181--238 (2000; Zbl 0990.05129) Full Text: DOI
Reiner, Victor; Shimozono, Mark Percentage-avoiding, northwest shapes and peelable tableaux. (English) Zbl 0909.05049 J. Comb. Theory, Ser. A 82, No. 1, 1-73 (1998). Reviewer: Angèle Hamel (Southampton) MSC: 05E10 PDF BibTeX XML Cite \textit{V. Reiner} and \textit{M. Shimozono}, J. Comb. Theory, Ser. A 82, No. 1, 1--73 (1998; Zbl 0909.05049) Full Text: DOI
Reiner, V.; Shimozono, M. Straightening for standard monomials on Schubert varieties. (English) Zbl 0888.14019 J. Algebra 195, No. 1, 130-140 (1997). Reviewer: V.Lakshmibai (Boston) MSC: 14M15 14M17 PDF BibTeX XML Cite \textit{V. Reiner} and \textit{M. Shimozono}, J. Algebra 195, No. 1, 130--140 (1997; Zbl 0888.14019) Full Text: DOI
Lascoux, Alain; Leclerc, Bernard; Thibon, Jean-Yves Crystal graphs and \(q\)-analogues of weight multiplicities for the root system \(A_ n\). (English) Zbl 0854.17014 Lett. Math. Phys. 35, No. 4, 359-374 (1995). Reviewer: Stefano Capparelli (Roma) MSC: 17B37 05E05 17B10 PDF BibTeX XML Cite \textit{A. Lascoux} et al., Lett. Math. Phys. 35, No. 4, 359--374 (1995; Zbl 0854.17014) Full Text: DOI arXiv
Reiner, Victor; Shimozono, Mark Plactification. (English) Zbl 0922.05049 J. Algebr. Comb. 4, No. 4, 331-351 (1995). MSC: 05E10 05E05 PDF BibTeX XML Cite \textit{V. Reiner} and \textit{M. Shimozono}, J. Algebr. Comb. 4, No. 4, 331--351 (1995; Zbl 0922.05049) Full Text: DOI
Lascoux, Alain Schubert polynomials: A historical approach. (Polynômes de Schubert: Une approche historique.) (French) Zbl 0823.05060 Discrete Math. 139, No. 1-3, 303-317 (1995). MSC: 05E05 05-03 01A55 01A60 01A65 PDF BibTeX XML Cite \textit{A. Lascoux}, Discrete Math. 139, No. 1--3, 303--317 (1995; Zbl 0823.05060) Full Text: DOI
Reiner, Victor; Shimozono, Mark Key polynomials and a flagged Littlewood-Richardson rule. (English) Zbl 0819.05058 J. Comb. Theory, Ser. A 70, No. 1, 107-143 (1995). Reviewer: N.I.Osetinski (Moskva) MSC: 05E05 05E10 PDF BibTeX XML Cite \textit{V. Reiner} and \textit{M. Shimozono}, J. Comb. Theory, Ser. A 70, No. 1, 107--143 (1995; Zbl 0819.05058) Full Text: DOI
Fulton, William; Lascoux, Alain A Pieri formula in the Grothendieck ring of a flag bundle. (English) Zbl 0840.14007 Duke Math. J. 76, No. 3, 711-729 (1994). Reviewer: Ngô Viêt Trung (Hanoi) MSC: 14F05 14M15 14C20 PDF BibTeX XML Cite \textit{W. Fulton} and \textit{A. Lascoux}, Duke Math. J. 76, No. 3, 711--729 (1994; Zbl 0840.14007) Full Text: DOI
Lascoux, Alin; Schützenberger, Marcel-Paul Décompositions dans l’algèbre des différences divisées. (Decompositions in the algebra of divided differences). (French) Zbl 0784.05060 Discrete Math. 99, No. 1-3, 165-179 (1992). Reviewer: G.Schaar (Freiberg) MSC: 05E05 05E15 05E35 14M15 19D55 19D50 PDF BibTeX XML Cite \textit{A. Lascoux} and \textit{M.-P. Schützenberger}, Discrete Math. 99, No. 1--3, 165--179 (1992; Zbl 0784.05060) Full Text: DOI