Fang, Xin; Fourier, Ghislain; Litza, Jan-Philipp; Pegel, Christoph A continuous family of marked poset polytopes. (English) Zbl 1445.52009 SIAM J. Discrete Math. 34, No. 1, 611-639 (2020). Reviewer: Matthias Beck (San Francisco) MSC: 52B20 06A07 52B05 PDF BibTeX XML Cite \textit{X. Fang} et al., SIAM J. Discrete Math. 34, No. 1, 611--639 (2020; Zbl 1445.52009) Full Text: DOI
Kiritchenko, Valentina Newton-Okounkov polytopes of flag varieties for classical groups. (English) Zbl 1436.52015 Arnold Math. J. 5, No. 2-3, 355-371 (2019). Reviewer: Gabriela Cristescu (Arad) MSC: 52B45 05E18 14M15 PDF BibTeX XML Cite \textit{V. Kiritchenko}, Arnold Math. J. 5, No. 2--3, 355--371 (2019; Zbl 1436.52015) Full Text: DOI
Liu, Ricky I.; Mészáros, Karola; Dizier, Avery St. Gelfand-Tsetlin polytopes: a story of flow and order polytopes. (English) Zbl 1428.05319 SIAM J. Discrete Math. 33, No. 4, 2394-2415 (2019). MSC: 05E10 52B05 52B12 52B20 PDF BibTeX XML Cite \textit{R. I. Liu} et al., SIAM J. Discrete Math. 33, No. 4, 2394--2415 (2019; Zbl 1428.05319) Full Text: DOI
Lee, Chul-Hee Linear recurrence relations in \(q\)-systems via lattice points in polyhedra. (English) Zbl 1447.17009 Transform. Groups 24, No. 2, 429-466 (2019). MSC: 17B20 52B20 PDF BibTeX XML Cite \textit{C.-H. Lee}, Transform. Groups 24, No. 2, 429--466 (2019; Zbl 1447.17009) Full Text: DOI arXiv
Gao, Yibo; Krakoff, Benjamin; Yang, Lisa The diameter and automorphism group of Gelfand-Tsetlin polytopes. (English) Zbl 1414.05302 Discrete Comput. Geom. 62, No. 1, 209-238 (2019). MSC: 05E10 05E18 PDF BibTeX XML Cite \textit{Y. Gao} et al., Discrete Comput. Geom. 62, No. 1, 209--238 (2019; Zbl 1414.05302) Full Text: DOI
Alexandersson, Per Polytopes and large counterexamples. (English) Zbl 1432.52019 Exp. Math. 28, No. 1, 115-120 (2019). MSC: 52B12 05E10 PDF BibTeX XML Cite \textit{P. Alexandersson}, Exp. Math. 28, No. 1, 115--120 (2019; Zbl 1432.52019) Full Text: DOI
Makhlin, Igor FFLV-type monomial bases for type \(B\). (English) Zbl 07049527 Algebr. Comb. 2, No. 2, 305-322 (2019). MSC: 17B10 17B20 05E10 PDF BibTeX XML Cite \textit{I. Makhlin}, Algebr. Comb. 2, No. 2, 305--322 (2019; Zbl 07049527) Full Text: DOI arXiv
Backhaus, Teodor; Kus, Deniz The PBW filtration and convex polytopes in type B. (English) Zbl 06934116 J. Pure Appl. Algebra 223, No. 1, 245-276 (2019). MSC: 17B10 14M15 52B20 17B37 PDF BibTeX XML Cite \textit{T. Backhaus} and \textit{D. Kus}, J. Pure Appl. Algebra 223, No. 1, 245--276 (2019; Zbl 06934116) Full Text: DOI
Pegel, Christoph The face structure and geometry of marked order polyhedra. (English) Zbl 1408.52014 Order 35, No. 3, 467-488 (2018). MSC: 52B05 06A07 52B12 PDF BibTeX XML Cite \textit{C. Pegel}, Order 35, No. 3, 467--488 (2018; Zbl 1408.52014) Full Text: DOI
Fang, Xin; Fourier, Ghislain Symmetries on plabic graphs and associated polytopes. (Symétries dans les graphes plan bicolores et les polytopes associés.) (English. French summary) Zbl 1423.14275 C. R., Math., Acad. Sci. Paris 356, No. 6, 581-585 (2018). MSC: 14M15 14M25 52B20 05C10 13F60 PDF BibTeX XML Cite \textit{X. Fang} and \textit{G. Fourier}, C. R., Math., Acad. Sci. Paris 356, No. 6, 581--585 (2018; Zbl 1423.14275) Full Text: DOI arXiv
Fang, Xin; Littelmann, Peter From standard monomial theory to semi-toric degenerations via Newton-Okounkov bodies. (English) Zbl 1397.14065 Trans. Mosc. Math. Soc. 2017, 275-297 (2017) and Tr. Mosk. Mat. O.-va 78, No. 2, 331-356 (2017). MSC: 14M15 14M25 52B20 PDF BibTeX XML Cite \textit{X. Fang} and \textit{P. Littelmann}, Trans. Mosc. Math. Soc. 2017, 275--297 (2017; Zbl 1397.14065) Full Text: DOI arXiv
Chappell, Thomas; Friedl, Tobias; Sanyal, Raman Two double poset polytopes. (English) Zbl 1425.52011 SIAM J. Discrete Math. 31, No. 4, 2378-2413 (2017). MSC: 52B12 06A07 06A11 52B20 PDF BibTeX XML Cite \textit{T. Chappell} et al., SIAM J. Discrete Math. 31, No. 4, 2378--2413 (2017; Zbl 1425.52011) Full Text: DOI arXiv
Kiritchenko, Valentina Newton-Okounkov polytopes of flag varieties. (English) Zbl 1396.14047 Transform. Groups 22, No. 2, 387-402 (2017). Reviewer: Lara Bossinger (Köln) MSC: 14M25 20G05 52B20 PDF BibTeX XML Cite \textit{V. Kiritchenko}, Transform. Groups 22, No. 2, 387--402 (2017; Zbl 1396.14047) Full Text: DOI
Feigin, Evgeny; Fourier, Ghislain; Littelmann, Peter Favourable modules: filtrations, polytopes, Newton-Okounkov bodies and flat degenerations. (English) Zbl 06793800 Transform. Groups 22, No. 2, 321-352 (2017). MSC: 14M 52 PDF BibTeX XML Cite \textit{E. Feigin} et al., Transform. Groups 22, No. 2, 321--352 (2017; Zbl 06793800) Full Text: DOI arXiv
Feigin, Evgeny; Makhlin, Igor Vertices of FFLV polytopes. (English) Zbl 1370.05218 J. Algebr. Comb. 45, No. 4, 1083-1110 (2017). Reviewer: David Grabiner (Columbia) MSC: 05E10 52B05 52B20 17B56 PDF BibTeX XML Cite \textit{E. Feigin} and \textit{I. Makhlin}, J. Algebr. Comb. 45, No. 4, 1083--1110 (2017; Zbl 1370.05218) Full Text: DOI arXiv
Fang, Xin; Fourier, Ghislain Marked chain-order polytopes. (English) Zbl 1343.05163 Eur. J. Comb. 58, 267-282 (2016). MSC: 05E10 14N15 14M15 52B99 06A07 PDF BibTeX XML Cite \textit{X. Fang} and \textit{G. Fourier}, Eur. J. Comb. 58, 267--282 (2016; Zbl 1343.05163) Full Text: DOI arXiv
Fischer, Ilse Counting integer points in polytopes associated with directed graphs. (English) Zbl 1336.05007 Adv. Appl. Math. 79, 125-153 (2016). MSC: 05A15 05C20 52B99 PDF BibTeX XML Cite \textit{I. Fischer}, Adv. Appl. Math. 79, 125--153 (2016; Zbl 1336.05007) Full Text: DOI
Kus, Deniz Kirillov-Reshetikhin crystals, energy function and the combinatorial \(R\)-matrix. (English) Zbl 1397.17018 J. Algebr. Comb. 43, No. 1, 45-74 (2016). MSC: 17B37 05E15 17B67 PDF BibTeX XML Cite \textit{D. Kus}, J. Algebr. Comb. 43, No. 1, 45--74 (2016; Zbl 1397.17018) Full Text: DOI arXiv
Alexandersson, Per Gelfand-Tsetlin polytopes and the integer decomposition property. (English) Zbl 1331.05028 Eur. J. Comb. 54, 1-20 (2016). MSC: 05A17 05E10 PDF BibTeX XML Cite \textit{P. Alexandersson}, Eur. J. Comb. 54, 1--20 (2016; Zbl 1331.05028) Full Text: DOI arXiv
Fang, Xin; Fourier, Ghislain; Reineke, Markus PBW-type filtration on quantum groups of type \(A_{n}\). (English) Zbl 1348.17013 J. Algebra 449, 321-345 (2016). Reviewer: Jan E. Grabowski (Lancaster) MSC: 17B37 PDF BibTeX XML Cite \textit{X. Fang} et al., J. Algebra 449, 321--345 (2016; Zbl 1348.17013) Full Text: DOI arXiv
Fourier, Ghislain PBW-degenerated Demazure modules and Schubert varieties for triangular elements. (English) Zbl 1364.17009 J. Comb. Theory, Ser. A 139, 132-152 (2016). MSC: 17B10 17B22 05E15 52B20 PDF BibTeX XML Cite \textit{G. Fourier}, J. Comb. Theory, Ser. A 139, 132--152 (2016; Zbl 1364.17009) Full Text: DOI arXiv
Fourier, Ghislain Marked poset polytopes: Minkowski sums, indecomposables, and unimodular equivalence. (English) Zbl 1328.52007 J. Pure Appl. Algebra 220, No. 2, 606-620 (2016). MSC: 52B20 14M25 06A07 14M15 17B10 PDF BibTeX XML Cite \textit{G. Fourier}, J. Pure Appl. Algebra 220, No. 2, 606--620 (2016; Zbl 1328.52007) Full Text: DOI arXiv
Biswal, Rekha; Fourier, Ghislain Minuscule Schubert varieties: poset polytopes, PBW-degenerated Demazure modules, and Kogan faces. (English) Zbl 1331.05225 Algebr. Represent. Theory 18, No. 6, 1481-1503 (2015). MSC: 05E10 14M25 14M15 17B10 14N15 PDF BibTeX XML Cite \textit{R. Biswal} and \textit{G. Fourier}, Algebr. Represent. Theory 18, No. 6, 1481--1503 (2015; Zbl 1331.05225) Full Text: DOI arXiv
Feigin, Evgeny; Fourier, Ghislain; Littelmann, Peter PBW filtration and bases for irreducible modules in type \({\text{\textsf{A}}}_{n}\). (English) Zbl 1237.17011 Transform. Groups 16, No. 1, 71-89 (2011). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B67 PDF BibTeX XML Cite \textit{E. Feigin} et al., Transform. Groups 16, No. 1, 71--89 (2011; Zbl 1237.17011) Full Text: DOI arXiv