Rook Poset Equivalence of Ferrers Boards

Develin, M., Martin, J.L., Reiner, V.: Classification of Ding’s Schubert varieties: finer rook equivalence. Can. J. Math. (to appear), http://arxiv.org/math.AG/0403540

Ding, K.: Rook placements and cellular decompositions of partition varieties. Discrete Math. 170, 107–151 (1997)

Ding, K.: Rook placements and classification of partition varieties $B\backslash M\sb \lambda$ . Commun. Contemp. Math. 3, 495–500 (2001)

Foata, D., Schützenberger, M.-P.: On the Rook Polynomials of Ferrers Relations. Combinatorial theory and its applications, II (Proc. Colloq., Balatonfüred, 1969), pp.413–436. North-Holland, Amsterdam (1970)

Garsia, A.M., Remmel, J.B.: Q-counting rook configurations and a formula of Frobenius. J. Comb. Theory Ser. A 41, 246–275 (1986)

Goldman, J.R., Joichi, J.T., White, D.E.: Rook theory l. Rook equivalence of Ferrers boards. Proc. Am. Math. Soc. 52, 485–492 (1975)

Kaplansky, I., Riordan, J.: The problem of the rooks and its applications. Duke Math. J. 13, 259–268 (1946)