The nil Hecke ring and singularity of Schubert varieties

[1]  Michael Atiyah,et al.  Lie theory and geometry : in honor of Bertram Kostant , 1997, The Mathematical Gazette.

[2]  J. Wolper.  The Riccati flow and singularities of Schubert varieties , 1995 .

[3]  M. Dyer.  The nil Hecke ring and Deodhar's conjecture on Bruhat intervals , 1993 .

[4]  J. Wolper.  A combinatorial approach to the singularities of Schubert varieties , 1989 .

[5]  A. Ramanathan.  Equations defining schubert varieties and frobenius splitting of diagonals , 1987 .

[6]  Shrawan Kumar.  Demazure character formula in arbitrary Kac-Moody setting , 1987 .

[7]  Santhosh K. P. Kumar,et al.  The nil Hecke ring and cohomology of G/P for a Kac-Moody group G. , 1986, Proceedings of the National Academy of Sciences of the United States of America.

[8]  H. H. Andersen.  Schubert varieties and Demazure's character formula , 1985 .

[9]  A. Ramanathan.  Schubert varieties are arithmetically Cohen-Macaulay , 1985 .

[10]  William Fulton,et al.  Introduction to Intersection Theory in Algebraic Geometry , 1984 .

[11]  A. Joseph.  On the variety of a highest weight module , 1984 .

[12]  E. Cline,et al.  Cohomology, hyperalgebras, and representations , 1980 .

[13]  D. Kazhdan,et al.  Representations of Coxeter groups and Hecke algebras , 1979 .

[14]  P. M. Cohn.  GROUPES ET ALGÉBRES DE LIE , 1977 .

[15]  I. Stewart,et al.  Infinite-dimensional Lie algebras , 1974 .

[16]  I. Gel'fand,et al.  SCHUBERT CELLS AND COHOMOLOGY OF THE SPACES G/P , 1973 .

[17]  T. Willmore.  Algebraic Geometry , 1973, Nature.

[18]  Shrawan Kumar,et al.  The Nil Hecke Ring and Singularity of Schubert Varieties , 1995 .

[19]  Vinay V. Deodhar.  A brief survey of Kazhdan-Lusztig theory and related topics , 1994 .

[20]  P. Polo.  On Zariski tangent spaces of Schubert varieties, and a proof of a conjecture of Deodhar , 1994 .

[21]  W. Rossmann.  EQUIVARIANT MULTIPLICITIES ON COMPLEX VARIETIES , 1989 .

[22]  D. Mumford.  The red book of varieties and schemes , 1988 .

[23]  Brian D. Boe.  Kazhdan-Lusztig polynomials for Hermitian symmetric spaces , 1988 .

[24]  O. Mathieu.  Formules de caractères pour les algèbres de Kac-Moody générales , 1988 .

[25]  V. Lakshmibai.  Singular loci of Schubert varieties for classical groups , 1987 .

[26]  Santhosh K. P. Kumar,et al.  T-equivariant K-theory of generalized flag varieties. , 1987, Proceedings of the National Academy of Sciences of the United States of America.

[27]  Kevin M. Ryan.  On Schubert varieties in the flag manifold of Sl(n,ℂ) , 1987 .

[28]  Vinay V. Deodhar.  Local poincaré duality and non-singularity of schubert varieties , 1985 .

[29]  A. Joseph,et al.  On the Demazure character formula , 1985 .

[30]  Sara Billey,et al.  On the Singular Locus of a Schubert Variety , 1984 .

[31]  V. Kac,et al.  Regular Functions on Certain Infinite-dimensional Groups , 1983 .

[32]  J. Jantzen.  Moduln mit einem höchsten Gewicht , 1979 .

[33]  Hassler Whitney,et al.  Complex Analytic Varieties , 1972 .