Components of Affine Springer Fibers
2018 ◽
Vol 2020
(6)
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pp. 1882-1919
Keyword(s):
Abstract Let G be a connected split reductive group over a field of characteristic zero or sufficiently large characteristic, $\gamma _0\in (\operatorname{Lie}\mathbf{G})((t))$ be any topologically nilpotent regular semisimple element, and $\gamma =t\gamma _0$. Using methods from p-adic orbital integrals, we show that the number of components of the Iwahori affine Springer fiber over $\gamma$ modulo $Z_{\mathbf{G}((t))}(\gamma )$ is equal to the order of the Weyl group.
1970 ◽
Vol 22
(4)
◽
pp. 839-846
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2008 ◽
Vol 144
(4)
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pp. 978-1016
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Keyword(s):
1983 ◽
Vol 27
(3)
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pp. 361-379
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Keyword(s):
2018 ◽
Vol 70
(2)
◽
pp. 451-480
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Keyword(s):
1979 ◽
Vol 12
(1)
◽
pp. 1-31
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