Affine weyl groups and conjugacy classes in Weyl groups
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Abstract
We define a map from an affine Weyl group to the set of conjugacy classes of an ordinary Weyl group.
Keywords
Conjugacy Class Irreducible Component Weyl Group Cartan Subalgebra Nilpotent Element
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References
- [B] R. Bezrukavnikov,Dimension of the fixed point set on the affine flag manifold, preprint.Google Scholar
- [BL] J. Bernstein and V. Lunts,Equivariant sheaves and functors, LNM 1578, Springer Verlag, 1994.Google Scholar
- [KL1] D. Kazhdan and G. Lusztig,A topological approach to Springer's representations, Adv. in Math.38 (1980), 222–228.MATHCrossRefMathSciNetGoogle Scholar
- [KL2] D. Kazhdan and G. Lusztig,Fixed point varieties on affine flag manifolds, Israel J. of Math.62 (1988), 129–168.MATHMathSciNetGoogle Scholar
- [L1] G. Lusztig,The two sided cells of the affine Weyl group of type A, Infinite Dimensional Groups with Applications, MSRI Publ. 4, Springer Verlag, 1985, pp. 275–283.Google Scholar
- [L2] G. Lusztig,Green polynomials and singularities of unipotent classes, Adv. in Math.42 (1981), 169–178.MATHCrossRefMathSciNetGoogle Scholar
- [L3] G. Lusztig,Cells in affine Weyl groups, Algebraic Groups and Related Topics, Adv. Stud. Pure Math. 6, North-Holland and Kinokuniya, Tokyo and Amsterdam, 1985, pp. 255–287.Google Scholar
- [L4] G. Lusztig,Cuspidal local systems and graded Hecke algebras II, Representations of Groups, B. Allison and G. Cliff editors, Canad. Math. Soc. Conf. Proc. 16, Amer. Math. Soc., 1995, pp. 217–275.Google Scholar
- [S1] N. Spaltenstein,Polynomials over local fields, nilpotent orbits and conjugacy classes in Weyl groups, Astérisque168 (1988), 191–217.Google Scholar
- [S2] N. Spaltenstein,A note on the Kazhdan-Lusztig map for even orthogonal Lie algebras, Arch. Math.55 (1990), 431–437.MATHCrossRefMathSciNetGoogle Scholar
- [S3] N. Spaltenstein,On the Kazhdan-Lusztig map for exceptional Lie algebras, Adv. in Math.83 (1990), 48–74.MATHCrossRefMathSciNetGoogle Scholar
- [S4] N. Spaltenstein,Classes unipotentes et sous-groupes de Borel, LNM 946, Springer Verlag, 1982.Google Scholar
- [St] R. Steinberg,On the desingularization of the unipotent variety, Invent. Math.36 (1976), 209–224.MATHCrossRefMathSciNetGoogle Scholar
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© Birkhäuser Boston 1996