Semi-groupe de Vinberg, centralisateur régulier et fibres de Springer affines

Mathematics – Algebraic Geometry

Scientific paper

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37 pages

Scientific paper

Following Steinberg, we construct an adjoint quotient for the Vinberg
semi-group and a section to this quotient. Then, after Ng\^o, we show the
existence of a regular centralizer on it and use it to compute the affine
Springer fibers for groups.

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