Orbitopes

Constantin Carathéodory, Über den Variabilitätsbereich der Koeffizienten von Potenzreihen die gegebene Werte nicht annehmen , Mathematische Annalen 64

1907

Earlier work this paper cites.

Issai Schur, Über eine Klasse von Mittelbildungen mit Anwendungen auf die Determinantentheorie , Theorie Sitzungsber, Berlin, Math. Gesellschaft 22

1923

Earlier work this paper cites.

Werner Fenchel, Über Krümmung und Windung geschlossener Raumkurven , Math. Ann. 101

1929

Earlier work this paper cites.

Ky Fan, Maximum properties and inequalities for the eigenvalues of completely continuous operators , Proc. Nat. Acad. Sci. USA 37

1951

Earlier work this paper cites.

M. F. Atiyah, Convexity and commuting Hamiltonians , Bull. London Math. Soc. 14

1982

Earlier work this paper cites.

V. Guillemin and S. Sternberg, Convexity properties of the moment mapping , Invent. Math. 67

1982

Earlier work this paper cites.

Reese Harvey and H. Blaine Lawson, Jr., Calibrated geometries , Acta Math. 148

1982

Earlier work this paper cites.

Jiri Dadok and Reese Harvey, Calibrations on 𝐑 6 {\bf R}^{6} , Duke Math. J. 50

1983

Earlier work this paper cites.

Frank Morgan, The exterior algebra Λ k ​ 𝐑 n \Lambda^{k}{\bf R}^{n} and area minimization , Linear Algebra Appl. 66

1985

Earlier work this paper cites.

Zeev Smilansky, Convex hulls of generalized moment curves , Israel J. Math. 52

1985

Earlier work this paper cites.

Reese Harvey and Frank Morgan, The faces of the Grassmannian of three-planes in 𝐑 7 {\bf R}^{7} (calibrated geometries on 𝐑 7 {\bf R}^{7} ) , Invent. Math. 83

1986

Earlier work this paper cites.

William Fulton and Joe Harris, Representation theory , Graduate Texts in Mathematics, vol. 129, Springer-Verlag, New York, 1991

1991

Cited alongside, same era.

Bruce Reznick, Sums of even powers of real linear forms , Mem. Amer. Math. Soc. 96

1992

Cited alongside, same era.

Shmuel Onn, Geometry, complexity, and combinatorics of permutation polytopes , J. Combin. Theory Ser. A 64

1993

Cited alongside, same era.

H. R. Farran and S. A. Robertson, Regular convex bodies , J. London Math. Soc. (2) 49

1994

Cited alongside, same era.

Israel M. Gel ′

1994

Cited alongside, same era.

T. M. Madden and S. A. Robertson, The classification of regular solids , Bull. London Math. Soc. 27

1995

Cited alongside, same era.

Alexander Barvinok and Grigoriy Blekherman, Convex geometry of orbits , Combinatorial and computational geometry, Math. Sci. Res. Inst. Publ., vol. 52, Cambridge Univ. Press, 2005, pp. 51–77

2005

Later among the works it cites.

David Avis, Hiroshi Imai, and Tsuyoshi Ito, On the relationship between convex bodies related to correlation experiments with dichotomic observables , J. Phys. A 39

2006

Later among the works it cites.

Saugata Basu, Richard Pollack, and Marie-Françoise Roy, Algorithms in real algebraic geometry , second ed., Algorithms and Computation in Mathematics, vol. 10, Springer-Verlag, Berlin, 2006

2006

Later among the works it cites.

Alexander Barvinok and Isabella Novik, A centrally symmetric version of the cyclic polytope , Discrete Comput. Geom. 39

2008

Later among the works it cites.

J. William Helton and Jiawang Nie, Sufficient and necessary conditions for semidefinite representability of convex hulls and sets , SIAM J. Optim. 20