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Let F be any canonical left cell of the affine Weyl group Wa of type A. We describe the lower boundary hyperplanes for F, which answer two questions of Humphreys.
On supporting hyperplanes to convex bodies     hyperplanes  convex bodies  Analysis of PDEs       font style='font-size:12px;'> 2011/8/25
Abstract: Given a convex set and an interior point close to the boundary, we prove the existence of a supporting hyperplane whose distance to the point is controlled, in a dimensionally quantified way...
We construct smooth complex projective varieties of dimension 3 to 6 with variations of Hodge structure, by generalizing an example of J. Carlson and C. Simpson in dimension 2. Then, we study some of ...
In this paper, we extend the uniqueness theorem for meromorphic mappings to the case where the family of hyperplanes depends on the meromorphic mapping and where the meromorphic mappings may be degen...
Given [n/d] finite Borel measures on R^n, d = 1, 2, 4, or 8, it is shown that there exist d mutually orthogonal hyperplanes which bisect each measure, corresponding to the classical algebras R, C, H,...
Theorems on the separation of convex sets by hyperplanes are among the basic tools of convex analysis and mathematical programming. The main results of the present paper are new (and in a sense best p...

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