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
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
Fang, X.; Feigin, E.; Fourier, G.; Makhlin, I. Weighted PBW degenerations and tropical flag varieties. (English) Zbl 1420.14138 Commun. Contemp. Math. 21, No. 1, Article ID 1850016, 27 p. (2019). MSC: 14T05 14M15 PDF BibTeX XML Cite \textit{X. Fang} et al., Commun. Contemp. Math. 21, No. 1, Article ID 1850016, 27 p. (2019; Zbl 1420.14138) Full Text: DOI
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
Gornitskiĭ, Andreĭ A. Essential signatures and canonical bases of irreducible representations of simple Lie algebras. (English. Russian original) Zbl 1433.17010 Russ. Math. Surv. 73, No. 5, 925-927 (2018); translation from Usp. Mat. Nauk 73, No. 5, 187-188 (2018). MSC: 17B10 17B20 PDF BibTeX XML Cite \textit{A. A. Gornitskiĭ}, Russ. Math. Surv. 73, No. 5, 925--927 (2018; Zbl 1433.17010); translation from Usp. Mat. Nauk 73, No. 5, 187--188 (2018) Full Text: DOI
Feĭgin, E. B. PBW degeneration: algebra, geometry, and combinatorics. (English. Russian original) Zbl 1422.17011 J. Math. Sci., New York 235, No. 6, 685-713 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 136, 3-30 (2017). MSC: 17B10 17-02 PDF BibTeX XML Cite \textit{E. B. Feĭgin}, J. Math. Sci., New York 235, No. 6, 685--713 (2018; Zbl 1422.17011); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 136, 3--30 (2017) 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
Backhaus, Teodor; Fang, Xin; Fourier, Ghislain Degree cones and monomial bases of Lie algebras and quantum groups. (English) Zbl 1425.17017 Glasg. Math. J. 59, No. 3, 595-621 (2017). MSC: 17B37 PDF BibTeX XML Cite \textit{T. Backhaus} et al., Glasg. Math. J. 59, No. 3, 595--621 (2017; Zbl 1425.17017) 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; Littelmann, Peter Essential bases and toric degenerations arising from birational sequences. (English) Zbl 1453.17005 Adv. Math. 312, 107-149 (2017). MSC: 17B10 14D06 14M15 14M25 14M27 17B20 17B35 20G05 PDF BibTeX XML Cite \textit{X. Fang} et al., Adv. Math. 312, 107--149 (2017; Zbl 1453.17005) 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
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; Makedonskyi, Ievgen Nonsymmetric Macdonald polynomials and PBW filtration: towards the proof of the Cherednik-Orr conjecture. (English) Zbl 1319.05141 J. Comb. Theory, Ser. A 135, 60-84 (2015). MSC: 05E10 05E05 33D52 PDF BibTeX XML Cite \textit{E. Feigin} and \textit{I. Makedonskyi}, J. Comb. Theory, Ser. A 135, 60--84 (2015; Zbl 1319.05141) Full Text: DOI arXiv
Cherednik, Ivan; Feigin, Evgeny Extremal part of the PBW-filtration and nonsymmetric Macdonald polynomials. (English) Zbl 1378.17040 Adv. Math. 282, 220-264 (2015). MSC: 17B67 20C08 33D52 PDF BibTeX XML Cite \textit{I. Cherednik} and \textit{E. Feigin}, Adv. Math. 282, 220--264 (2015; Zbl 1378.17040) Full Text: DOI arXiv
Gornitskiĭ, A. A. Essential signatures and canonical bases of irreducible representations of the group \(G_2\). (English. Russian original) Zbl 1377.17010 Math. Notes 97, No. 1, 30-41 (2015); translation from Mat. Zametki 97, No. 1, 35-47 (2015). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B35 PDF BibTeX XML Cite \textit{A. A. Gornitskiĭ}, Math. Notes 97, No. 1, 30--41 (2015; Zbl 1377.17010); translation from Mat. Zametki 97, No. 1, 35--47 (2015) Full Text: DOI
Feigin, E. B. Degenerate group of type \(A\): representations and flag varieties. (English. Russian original) Zbl 1336.17005 Funct. Anal. Appl. 48, No. 1, 59-71 (2014); translation from Funkts. Anal. Prilozh. 48, No. 1, 73-88 (2014). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 17B20 14L35 17B30 17B10 PDF BibTeX XML Cite \textit{E. B. Feigin}, Funct. Anal. Appl. 48, No. 1, 59--71 (2014; Zbl 1336.17005); translation from Funkts. Anal. Prilozh. 48, No. 1, 73--88 (2014) Full Text: DOI
Backhaus, Teodor; Bossinger, Lara; Desczyk, Christian; Fourier, Ghislain The degree of the Hilbert-Poincaré polynomial of PBW-graded modules. (Le degré du polynôme de Hilbert-Poincaré pour les modules PBW-gradués.) (English. French summary) Zbl 1333.17009 C. R., Math., Acad. Sci. Paris 352, No. 12, 959-963 (2014). MSC: 17B20 17B10 05E15 PDF BibTeX XML Cite \textit{T. Backhaus} et al., C. R., Math., Acad. Sci. Paris 352, No. 12, 959--963 (2014; Zbl 1333.17009) Full Text: DOI arXiv
Hague, Chuck Degenerate coordinate rings of flag varieties and Frobenius splitting. (English) Zbl 1328.14081 Sel. Math., New Ser. 20, No. 3, 823-838 (2014). MSC: 14M15 13A35 14A15 20G05 20G15 PDF BibTeX XML Cite \textit{C. Hague}, Sel. Math., New Ser. 20, No. 3, 823--838 (2014; Zbl 1328.14081) Full Text: DOI arXiv
Feigin, Evgeny; Finkelberg, Michael Degenerate flag varieties of type A: Frobenius splitting and BW theorem. (English) Zbl 1328.14078 Math. Z. 275, No. 1-2, 55-77 (2013). MSC: 14L35 20G05 14M17 PDF BibTeX XML Cite \textit{E. Feigin} and \textit{M. Finkelberg}, Math. Z. 275, No. 1--2, 55--77 (2013; Zbl 1328.14078) Full Text: DOI arXiv
Panyushev, Dmitri I.; Yakimova, Oksana S. Parabolic contractions of semisimple Lie algebras and their invariants. (English) Zbl 1275.13004 Sel. Math., New Ser. 19, No. 3, 699-717 (2013). Reviewer: Alan Koch (Decatur) MSC: 13A50 14L30 17B08 17B45 PDF BibTeX XML Cite \textit{D. I. Panyushev} and \textit{O. S. Yakimova}, Sel. Math., New Ser. 19, No. 3, 699--717 (2013; Zbl 1275.13004) Full Text: DOI arXiv
Ardila, Federico; Bliem, Thomas; Salazar, Dido Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes. (English) Zbl 1234.52009 J. Comb. Theory, Ser. A 118, No. 8, 2454-2462 (2011). MSC: 52B20 52B12 05E10 PDF BibTeX XML Cite \textit{F. Ardila} et al., J. Comb. Theory, Ser. A 118, No. 8, 2454--2462 (2011; Zbl 1234.52009) Full Text: DOI arXiv