Marked poset polytopes: Minkowski sums, indecomposables, and unimodular equivalence

[1]  Israel M. Gelfand,et al.  Finite-dimensional representations of the group of unimodular matrices , 1950 .

[2]  Richard P. Stanley,et al.  Two poset polytopes , 1986, Discret. Comput. Geom..

[3]  V. Lakshmibai,et al.  Degenerations of flag and Schubert varieties to toric varieties , 1996 .

[4]  Peter Littelmann,et al.  Cones, crystals, and patterns , 1998 .

[5]  Andrei Zelevinsky,et al.  Tensor product multiplicities, canonical bases and totally positive varieties , 1999, math/9912012.

[6]  Michael Joswig,et al.  polymake: a Framework for Analyzing Convex Polytopes , 2000 .

[7]  M. Kogan.  Schubert Geometry of Flag Varieties and Gelfand-Cetlin Theory , 2000 .

[8]  Toric degenerations of spherical varieties , 2004, math/0403379.

[9]  Roger W. Carter,et al.  Lie Algebras of Finite and Affine Type , 2005 .

[10]  E.Feigin.  The PBW filtration , 2007, math/0702797.

[11]  Evgeny Feigin,et al.  ${\mathbb G}_a^M$ degeneration of flag varieties , 2010, 1007.0646.

[12]  Evgeny Feigin,et al.  PBW filtration and bases for irreducible modules in type An , 2010, 1002.0674.

[13]  Evgeny Feigin,et al.  PBW filtration and bases for symplectic Lie algebras , 2010, 1010.2321.

[14]  Federico Ardila,et al.  Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes , 2010, J. Comb. Theory, Ser. A.

[15]  M. Finkelberg,et al.  Degenerate flag varieties of type A: Frobenius splitting and BW theorem , 2011, 1103.1491.

[16]  Евгений Юрьевич Смирнов,et al.  Исчисление Шуберта и многогранники Гельфанда - Цетлина@@@Schubert calculus and Gelfand - Tsetlin polytopes , 2012 .

[17]  Nan Li,et al.  Unimodular equivalence of order and chain polytopes , 2012 .

[18]  Evgeny Feigin,et al.  PBW-filtration over ℤ and Compatible Bases for V ℤ ( λ ) in Type A n and C n , 2013 .

[19]  Feigin Evgeny,et al.  Extremal part of the PBW-filtration and E-polynomials , 2013 .

[20]  EVGENY FEIGIN,et al.  FAVOURABLE MODULES: FILTRATIONS, POLYTOPES, NEWTON–OKOUNKOV BODIES AND FLAT DEGENERATIONS , 2013, 1306.1292.

[21]  Teodor Backhaus,et al.  PBW filtration: Feigin-Fourier-Littelmann modules via Hasse diagrams , 2014 .

[22]  M. Finkelberg,et al.  Symplectic Degenerate Flag Varieties , 2011, Canadian Journal of Mathematics.

[23]  Evgeny Feigin,et al.  Nonsymmetric Macdonald polynomials, Demazure modules and PBW filtration , 2014, 1407.6316.

[24]  Ghislain Fourier,et al.  The degree of the Hilbert-Poincar\'e polynomial of PBW-graded modules , 2014 .

[25]  Ghislain Fourier,et al.  Minuscule Schubert Varieties: Poset Polytopes, PBW-Degenerated Demazure Modules, and Kogan Faces , 2014, 1410.1126.

[26]  Ghislain Fourier,et al.  New homogeneous ideals for current algebras: filtrations, fusion products and Pieri rules , 2014, 1403.4758.

[27]  Ghislain Fourier,et al.  PBW-type filtration on quantum groups of type $A_n$ , 2015, 1503.05428.

[28]  A. Gornitskii.  Essential signatures and canonical bases of irreducible representations of the group G2 , 2015 .

[29]  Ghislain Fourier,et al.  PBW-degenerated Demazure modules and Schubert varieties for triangular elements , 2014, J. Comb. Theory, Ser. A.