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Search Results: 1 - 10 of 325441 matches for " S. Orlik "
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On Harder-Narasimhan strata in flag manifolds
S. Orlik
Mathematics , 2003,
Abstract: This paper deals with a question of Fontaine and Rapoport which was posed in math.NT/0204293. There they asked for the determination of the index set of the Harder-Narasimhan vectors of the filtered isocrystals with fixed Newton- and Hodge vector. The aim of this paper is to give an answer to their question.
Deligne-Lusztig varieties and period domains over finite fields
S. Orlik,M. Rapoport
Mathematics , 2007,
Abstract: We prove that the Drinfeld halfspace is essentially the only Deligne-Lusztig variety which is at the same time a period domain over a finite field. This is done by comparing a cohomology vanishing theorem for DL-varieties, due to Digne, Michel, and Rouquier, with a non-vanishing theorem for PD, due to the first author. We also discuss an affineness criterion for DL-varieties.
On the irreducibility of locally analytic principal series representations
S. Orlik,M. Strauch
Mathematics , 2006, DOI: 10.1090/S1088-4165-2010-00387-8
Abstract: Let G be a p-adic connected reductive group with Lie algebra g. For a parabolic subgroup P in G and a finite-dimensional locally analytic representation V of P, we study the induced locally analytic G-representation W = Ind^G_P(V). Our result is the following criterion concerning the topological irreducibility of W: if the Verma module U(g) \otimes_{U(p)} V' associated to the dual representation V' is irreducible then W is topologically irreducible as well.
Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem
Julia Orlik
Abstract and Applied Analysis , 2009, DOI: 10.1155/2009/828315
Abstract: The paper is concerned with the existence and stability of weak (variational) solutionsfor the problem of the quasistatic evolution of a viscoelastic material undermixed inhomogenous Dirichlet-Neumann boundary conditions. The main noveltyof the paper relies in dealing with continuous-in-time weak solutions and allowing nonconvolution and weak-singular Volterra's relaxation kernels.
On Extensions of generalized Steinberg Representations
Sascha Orlik
Mathematics , 2004,
Abstract: Let F be a local non-archimedean field and let G be the group of F-valued points of a reductive algebraic group over F. In this paper we compute the Ext-groups of generalized Steinberg representations in the category of smooth G-representations with coefficients in a certain self-injective ring.
The fundamental group of period domains over finite fields
Sascha Orlik
Mathematics , 2007,
Abstract: We determine the fundamental group of period domains over finite fields.
The de Rham cohomology of Drinfeld's half space
Sascha Orlik
Mathematics , 2013,
Abstract: Let X be Drinfeld's half space over a p-adic field K. The de Rham cohomology of X was first computed by Schneider and Stuhler. Afterwards there were given different proofs by Alon, de Shalit, Iovita and Spiess. This paper presents yet another approach for the determination of these invariants by analysing the de Rham complex of X from the viewpoint of recent results by the author.
Kohomologie von Periodenbereichen ueber endlichen Koerpern
Sascha Orlik
Mathematics , 1999,
Abstract: Periodenbereiche sind gewisse offene Unterraeume von verallgemeinerten Flaggenvarietaeten, welche durch Semistabilitaetsbedingungen beschrieben werden. In dem Fall eines endlichen Grundkoerpers bilden diese eine Zariski-offene Untervarietaet, im Fall eines lokalen Koerpers einen zulaessigen offenen Unterraum im Sinne der rigiden algebraischen Geometrie. In dieser Arbeit berechnen wir fuer den Fall eines endlichen Grundkoerpers die l-adische Kohomologie mit kompaktem Traeger dieser Periodenbereiche. Das Ergebnis bestaetigt eine Vermutung von Kottwitz und Rapoport.
The cohomology of period domains for reductive groups over finite fields
Sascha Orlik
Mathematics , 1999,
Abstract: The goal of this paper is to give an explicit formula for the l-adic cohomology of period domains over finite fields for arbitrary reductive groups. The result is a generalisation of the computation in math.AG/9907098 which treats the case of the general linear group.
The cohomology of Deligne-Lusztig varieties for the general linear group
Sascha Orlik
Mathematics , 2013,
Abstract: We propose two inductive approaches for determining the cohomology of Deligne-Lusztig varieties in the case of the general linear group
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