Path representation of maximal parabolic Kazhdan-Lusztig polynomials

C. Stroppel and B. Webster, 2-block Springer fibers: convolution algebras and coherent sheaves , 2010, to appear in Comm. Math. Helv., arXiv:0802.1943

Original

1943

Earlier work this paper cites.

H. Temperley and E. Lieb, Relations between the “percolation” and “colouring” problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the “percolation” problem , Proc. Roy. Soc. London Ser. A 322

1971

Earlier work this paper cites.

R. Baxter, S. Kelland, and F. Wu, Equivalence of the Potts model or Whitney polynomial with an ice-type model , J. Phys. A: Math. Gen. 9

1976

Earlier work this paper cites.

T. A. Springer, Trigonometric sums, Green functions of finite groups and representations of Weyl groups , Invent. Math. 36

1976

Earlier work this paper cites.

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

1979

Earlier work this paper cites.

by same author, Schubert varieties and Poincaré duality , Proc. Sympos. Pure Math. 36

1980

Earlier work this paper cites.

by same author, A topological approach to Springer’s representation , Adv. Math. 38

1980

Earlier work this paper cites.

A. Beilinson and J. Bernstein, Localisation de 𝔤 \mathfrak{g} -modules , C. R. Acad. Sci. Paris Sér. I Math. 292

1981

Earlier work this paper cites.

J.-L. Brylinski and M. Kashiwara, Kazhdan–Lusztig conjecture and holonomic systems , Invent. Math. 64

1981

Earlier work this paper cites.

A. Lascoux and M.-P. Schützenberger, Polynômes de Kazhdan & Lusztig pour les grassmanniennes , Young tableaux and Schur functors in algebra and geometry (Toruń, 1980), Astérisque, vol. 87, Soc. Math. France, Paris, 1981, pp. 249–266. MR646823

1981

Earlier work this paper cites.

G. Lusztig and D. Vogan, Singularities of closures of K K -orbits on flag manifolds , Invent. Math. 71

1983

Earlier work this paper cites.

A. Zelevinskiĭ, Small resolutions of singularities of Schubert varieties , Funktsional. Anal. i Prilozhen. 17

1983

Cited alongside, same era.

V. Deodhar, On some geometric aspects of Bruhat orderings. II. The parabolic analogue of Kazhdan–Lusztig polynomials , J. Algebra 111

1987

Cited alongside, same era.

T. Enright and B. Shelton, Categories of highest weight modules: applications to classical Hermitian symmetric pairs , Mem. Amer. Math. Soc. 67

1987

Cited alongside, same era.

L. Kauffman, State models and the Jones polynomial , Topology 26

1987

Cited alongside, same era.

G. Lusztig, Modular representations and quantum groups , Classical groups and related topics (Beijing, 1987), Contemp. Math., vol. 82, Amer. Math. Soc., Providence, RI, 1989, pp. 59–77. MR982278

1989

Cited alongside, same era.

by same author, Enumerative combinatorics. Vol. 2 , Cambridge Studies in Advanced Mathematics, vol. 62, Cambridge University Press, Cambridge, 1999, With a foreword by Gian-Carlo Rota and appendix 1 by Sergey Fomin, doi

1999

Later among the works it cites.

S. Billey and V. Lakshmibai, Singular loci of Schubert varieties , Progress in Mathematics, vol. 182, Birkhäuser Boston Inc., Boston, MA, 2000. MR1782635

2000

Later among the works it cites.

A. Kirillov, Jr. and A. Lascoux, Factorization of Kazhdan–Lusztig elements for Grassmannians , Combinatorial methods in representation theory (Kyoto, 1998), Adv. Stud. Pure Math., vol. 28, Kinokuniya, Tokyo, 2000, pp. 143–154, arXiv:math.CO/9902072

2000

Later among the works it cites.

H. Naruse, A combinatorial description of the Grassman-type parabolic Kazhdan-Lusztig polynomial Q I Q^{I} , RIMS Kokyuroku (2001), no. 1190, 126–135, Topics in combinatorial representation theory (Japanese) (Kyoto, 2000). MR1847736

2000

Later among the works it cites.