منابع مشابه
On the Restriction of Deligne-lusztig Characters
results of Hagedorn gave me the courage to attempt such calculations for general groups and to obtain closed multiplicity formulas for orthogonal groups. It is a pleasure to thank Dick Gross for initiating the work in [12] which led to this paper, for helpful remarks on an earlier version, and for aquainting me with Hagedorn’s thesis. The referee read the original version of this paper with car...
متن کاملEndomorphisms of Deligne-lusztig Varieties
We study some conjectures on the endomorphism algebras of the cohomology of Deligne-Lusztig varieties which are a refinement of those of [BMi].
متن کاملDimensions of Some Affine Deligne-lusztig Varieties Les Dimensions De Certaines Variétés De Deligne-lusztig Affines
This paper concerns the dimensions of certain affine Deligne-Lusztig varieties, both in the affine Grassmannian and in the affine flag manifold. Rapoport conjectured a formula for the dimensions of the varieties Xμ(b) in the affine Grassmannian. We prove his conjecture for b in the split torus; we find that these varieties are equidimensional; and we reduce the general conjecture to the case of...
متن کاملOn Endoscopic Transfer of Deligne–lusztig Functions
In this paper we prove the fundamental lemma for Deligne–Lusztig functions. Namely, for every Deligne–Lusztig function φ on a p-adic group G we write down an explicit linear combination φ of Deligne–Lusztig functions on an endoscopic group H such that φ and φ have “matching orbital integrals”. In particular, we prove a conjecture of Kottwitz [Ko4]. More precisely, we do it under some mild restr...
متن کاملOn the Affineness of Deligne-lusztig Varieties
We prove that the Deligne-Lusztig variety associated to minimal length elements in any δ-conjugacy class of the Weyl group is affine, which was conjectured by Orlik and Rapoport in [10]. 1.1 Notations. Let k be an algebraic closure of the finite prime field Fp and G be a connected reductive algebraic group over k with an endomorphism F : G → G such that some power F d of F is the Frobenius endo...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1993
ISSN: 0021-8693
DOI: 10.1006/jabr.1993.1147