A positivity property of the Satake isomorphism

By Michael Rapoport. 2000

61 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2551adff17718f9feeb36c6e6055a68e7d6cfc2a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Buildings and Hecke algebras (2006, unknown): “In a recent series of papers [27], [12], [33] and [31] the numbers aλ,μ appearing in Pλ(x) = ∑ μ aλ,μmμ are studied.”
The dimension of some affine Deligne–Lusztig varieties (2006, methodology): “We recall the definitions of affine Deligne–Lusztig varieties from [6,1].”
On the existence of F-crystals (2002, methodology): “α∨∈�∨M ′ R +α∨ . Here for any standard Levi subgroup M, �∨M denotes the set of simple coroots”
Moduli spaces of principal F-bundles (2002, background): “Hence it will suffice to show that for every two dominant coweights satisfying λ1 Ra , Lem 2.3]), there exists a sequence of dominant coweights λ1 = � 0 < � 1 < . . . < � r = λ2 such that any two neighboring � ’s differ by a positive ...”
Connected components of affine Deligne–Lusztig varieties in mixed characteristic (2013, background): “[RZ96]. If F is a function ﬁeld, then Xµ(b) is the set of k-valued points of a locally closed, locally of ﬁnite type subscheme of the aﬃne Grassmannian LG/Kwhere LGdenotes the loop group of G(compare [Rap00], [GHKR06]). If F has mixed characteristic, there is, in general, no known scheme structure o”
Dimensions of some affine Deligne–Lusztig varieties (2005, unknown): “– First recall [21] (see also [27,9]) that a coweight μ′ lies in Σ(μ) if and only if U(L)ε ′ meets KεK .”
Galleries, Hall-Littlewood polynomials, and structure constants of the spherical Hecke algebra (2005, methodology): “This gives a combinatorial proof of a positivity result of Rapoport in [Rap00].”