Quasi-period collapse and GL_n(Z)-scissors congruence in rational polytopes

E. Ehrhart, Sur les polyèdres homothétiques bordés à n n dimensions , C. R. Acad. Sci. Paris 254

1962

Earlier work this paper cites.

J.-P. Sydler, Conditions nécessaires et suffisantes pour l’équivalence des polyèdres de l’espace euclidien à trois dimensions , Comment. Math. Helv. 40

1965

Earlier work this paper cites.

by same author, Démonstration de la loi de réciprocité du polyèdre rationnel , C. R. Acad. Sci. Paris Sér. A-B 265

1967

Earlier work this paper cites.

G. Kempf, F. F. Knudsen, D. Mumford, and B. Saint-Donat, Toroidal embeddings. I , Springer-Verlag, Berlin, 1973, Lecture Notes in Mathematics, Vol. 339

1973

Earlier work this paper cites.

R. P. Stanley, Decompositions of rational convex polytopes , Ann. Discrete Math. 6

1978

Earlier work this paper cites.

by same author, Enumerative combinatorics. Vol. 1 , Cambridge Studies in Advanced Mathematics, vol. 49, Cambridge University Press, Cambridge, 1997, With a foreword by Gian-Carlo Rota, Corrected reprint of the 1986 original

1986

Earlier work this paper cites.

A. N. Kirillov and N. Y. Reshetikhin, The Bethe ansatz and the combinatorics of Young tableaux , Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 155

1988

Cited alongside, same era.

P. Greenberg, Piecewise SL 2 ​ 𝐙 {\rm SL}_{2}{\bf Z} geometry , Trans. Amer. Math. Soc. 335

1993

Cited alongside, same era.

J.-M. Kantor, Triangulations of integral polytopes and Ehrhart polynomials , Beiträge Algebra Geom. 39

1998

Cited alongside, same era.

B. Poonen and F. Rodriguez-Villegas, Lattice polygons and the number 12 , Amer. Math. Monthly 107

2000

Cited alongside, same era.

H. Derksen and J. Weyman, On the Littlewood-Richardson polynomials , J. Algebra 255

2002

Cited alongside, same era.

M. Aigner and G. M. Ziegler, Proofs from The Book , third ed., Springer-Verlag, Berlin, 2004, Including illustrations by Karl H. Hofmann

2004

Later among the works it cites.

J. A. De Loera and T. B. McAllister, Vertices of Gelfand-Tsetlin polytopes , Discrete Comput. Geom. 32

2004

Later among the works it cites.

C. Haase and J. Schicho, Lattice polygons and the number 2i+7 , Preprint DUKE-CGTP-04-06, 2004, arXiv:math.CO/0406224

2004

Later among the works it cites.

T. B. McAllister and K. M. Woods, The minimum period of the Ehrhart quasi-polynomial of a rational polytope , J. Combin. Theory Ser. A 109

2005

Later among the works it cites.

by same author, On the computation of Clebsch-Gordan coefficients and the dilation effect , Experiment. Math. 15

2006

Later among the works it cites.