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Generalized affine Springer fibres

  • Robert Kottwitz (a1) and Eva Viehmann (a2)
Abstract

This paper studies two new kinds of affine Springer fibres that are adapted to the root valuation strata of Goresky–Kottwitz–MacPherson. In addition it develops various linear versions of Katz's Hodge–Newton decomposition.

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1.Arthur, J., The characters of discrete series as orbital integrals, Invent. Math. 32 (1976), 205261.
2.Borel, A., Linear algebraic groups (Benjamin, New York, 1969.)
3.Bruhat, F. and Tits, J., Groupes réductifs sur un corps local, I, Publ. Math. IHES 41 (1972), 5251.
4.Bruhat, F. and Tits, J., Groupes réductifs sur un corps local, II, Publ. Math. IHES 60 (1984), 197376.
5.Goresky, M., Kottwitz, R. and MacPherson, R., Codimensions of root valuation strata, Pure Appl. Math. Q. 5 (2009), 12531310.
6.Harish-Chandra, , Discrete series for semisimple Lie groups, II, Acta Math. 116 (1966), 1111.
7.Katz, N., Slope filtration of F-crystals, Astérisque 63 (1979), 113163.
8.Kazhdan, D. and Lusztig, G., Fixed point varieties on affine flag manifolds, Israel J. Math. 62 (1988), 129168.
9.Kottwitz, R., Isocrystals with additional structure, Compositio Math. 56 (1985), 201220.
10.Kottwitz, R., On the Hodge–Newton decomposition for split groups, Int. Math. Res. Not. 26 (2003), 14331447.
11.Kottwitz, R. and Rapoport, M., On the existence of F-crystals, Comment. Math. Helv. 78 (2003), 153184.
12.Rapoport, M. and Richartz, M., On the classification and specialization of F-isocrystals with additional structure, Compositio Math. 103 (1996), 153181.
13.Sabitova, M., A simplification of root valuation data for classical groups, Alg. Representat. Theory, in press.
14.Viehmann, E., Connected components of closed affine Deligne–Lusztig varieties, Math. Annalen 340 (2008), 315333.
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Journal of the Institute of Mathematics of Jussieu
  • ISSN: 1474-7480
  • EISSN: 1475-3030
  • URL: /core/journals/journal-of-the-institute-of-mathematics-of-jussieu
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