On the homology classes for the components of some fibres of Springer's resolution

Güemes, J. J.

Orbites unipotentes et représentations III. Orbites et faisceaux pervers, Astérisque, no. 173-174 (1989), pp. 257-269.

MR Zbl

@incollection{AST_1989__173-174__257_0,
     author = {G\"uemes, J. J.},
     title = {On the homology classes for the components of some fibres of {Springer's} resolution},
     booktitle = {Orbites unipotentes et repr\'esentations III. Orbites et faisceaux pervers},
     series = {Ast\'erisque},
     pages = {257--269},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {173-174},
     year = {1989},
     mrnumber = {1021513},
     zbl = {0704.20038},
     language = {en},
     url = {http://www.numdam.org/item/AST_1989__173-174__257_0/}
}

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Güemes, J. J. On the homology classes for the components of some fibres of Springer's resolution, dans Orbites unipotentes et représentations III. Orbites et faisceaux pervers, Astérisque, no. 173-174 (1989), pp. 257-269. http://www.numdam.org/item/AST_1989__173-174__257_0/

Bibliographie
Cité par

[1] Bernstein, J. N., Gelfand, I. M., Gelfand, S. I. : Schubert cells and cohomology of Flag manifolds, Russian Math. Survey 28 (1973), 1-26. | DOI | MR | Zbl

[2] Borel, A. : Sur la cohomologie des espaces fibrés principaux et des espaces homogènes des groupes de Lie Compacts, Ann. of Math. 57 (1953), 115-207. | DOI | MR | Zbl

[3] Bourbaki, N. : Groupes et algèbres de Lie, Chap. 4,5,6, Paris, Herman, 1968. | Zbl

[4] Demazure, M. : Désingularisation des variétés de Schubert géneralisées, Ann Sc. de l'École Norm. Sup. 7 (1974), 58-88. | EuDML | Numdam | MR | Zbl

[5] Edelman, P., Greene, C. : Balanced tableaux, Adv. in Math. 63 (1987), 42-99. | DOI | MR | Zbl

[6] Hiller, H. : Geometry of Coxeter groups, Res. Notes in Math. 54, Pitman, Boston-London-Melbourne 1982. | MR | Zbl

[7] Hotta, R. : On Joseph's construction of Weyl group representations, Tohoku Math. J. 36 (1984), 49-74. | DOI | MR | Zbl

[8] Hotta, R., Springer, T. A. : A specialization theorem for certain Weyl group representations and an application to green polynomials of unitary groups, Invent. Math. 41 (1977), 113-127. | DOI | EuDML | MR | Zbl

[9] Lacoux, A., Schützenberger, M. P. : Structure de Hopf, C.R. Acad. Sc. Paris 295 (1982) 629. | Zbl

[10] Macdonald, I. G. : Symmetric functions and Hall polynomials, Oxford Univ. Press (Clarendon) Oxford 1979. | MR | Zbl

[11] Spaltenstein, N. : The fixed point set of a unipotent transformation on the flag manifold, Indag. Math. 38 (1976), 452-456. | DOI | MR | Zbl

[12] Spaltenstein, N. : Classes unipotentes et sous-groupes de Borel, Lecture Notes in Math. 946, Springer-Verlag 1982. | MR | Zbl

[13] Springer, T. A. : Contribution to "Open problems in algebraic groups", Katata, 1983, Taniguchi Foundation.

[14] Stanley, R. P. : On the number of reduced decompositions of elements of Coxeter groups, Europ. J. Combinatorics 5 (1984), 359-372. | DOI | MR | Zbl

[15] Steinberg, R. : Conjugacy classes in algebraic groups, Lecture Notes in Math. 366, Springer-Verlag 1974. | MR | Zbl

[16] Vargas, J. A. : Fixed points under the action of unipotent elements of $S L_{n}$ . Bol. Soc. Mat. Mexicana (2) 24 (1979), 1-14. | MR | Zbl