Network Parameterizations for the Grassmannian

D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53

1979

Earlier work this paper cites.

D. Kazhdan and G. Lusztig, Schubert varieties and Poincaré duality , Geometry of the Laplace operator (Proc. Sympos. Pure Math., Univ. Hawaii, Honolulu, Hawaii, 1979), Proc. Sympos. Pure Math., XXXVI, Amer. Math. Soc., Providence, R.I., 1980, pp. 185–203. MR 84g:14054

1980

Earlier work this paper cites.

R. Proctor, Bruhat lattices, plane partition generating functions, and minuscule representations. European J. Combin. 5 (1984), no. 4, 331–350

1984

Earlier work this paper cites.

V. Deodhar, On some geometric aspects of Bruhat orderings. I. A finer decomposition of Bruhat cells, Invent. Math. 79 (1985), no. 3, 499–511

1985

Earlier work this paper cites.

V. Deodhar, On some geometric aspects of Bruhat orderings II. The parabolic analogue of Kazhdan-Lusztig polynomials, J. Alg. 111 (1987), 483–506

1987

Cited alongside, same era.

J. Stembridge, On the Fully Commutative Elements of Coxeter Groups. J. Algebraic Combinatorics 5 (1996), 353–385

1996

Cited alongside, same era.

G. Lusztig, Total positivity in partial flag manifolds, Representation Theory, 2 (1998) 70-78

1998

Cited alongside, same era.

K. Rietsch, Total positivity and real flag varieties, PhD thesis, MIT, 1998

1998

Cited alongside, same era.

Y. Kodama, L. Williams, The Deodhar decomposition of the Grassmannian and the regularity of KP solitons, a

Cited in the paper.

A. Postnikov, Total positivity, Grassmannians, and networks, http://front.math.ucdavis.edu/math.CO/0609764

Cited in the paper.

R. Marsh and K. Rietsch, Parametrizations of flag varieties, Representation Theory, 8 (2004)

2004

Later among the works it cites.

A. Bjorner and F. Brenti, Combinatorics of Coxeter groups, Graduate Texts in Mathematics, 231, Springer, New York, 2005

2005

Later among the works it cites.

K. Rietsch, personal communication, 2009

2009

Later among the works it cites.