منابع مشابه
A Geometric Jacquet Functor
In the paper [BB1], Beilinson and Bernstein used the method of localisation to give a new proof and generalisation of Casselman’s subrepresentation theorem. The key point is to interpret n-homology in geometric terms. The object of this note is to go one step further and describe the Jacquet module functor on Harish-Chandra modules via geometry. Let GR be a real reductive linear algebraic group...
متن کاملA Geometric Jacquet Functor 3
In the paper [BB1], Beilinson and Bernstein used the method of localisation to give a new proof and generalisation of Casselman’s subrepresentation theorem. The key point is to interpret n-homology in geometric terms. The object of this note is to go one step further and describe the Jacquet module functor on Harish-Chandra modules via geometry. Let GR be a real reductive linear algebraic group...
متن کاملSchur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function
In this paper, using the properties of Schur-convex function, Schur-geometrically convex function and Schur-harmonically convex function, we provide much simpler proofs of the Schur-convexity, Schur-geometric convexity and Schur-harmonic convexity for a composite function of the complete symmetric function.
متن کاملSchur–convexity, Schur Geometric and Schur Harmonic Convexities of Dual Form of a Class Symmetric Functions
By the properties of Schur-convex function, Schur geometrically convex function and Schur harmonically convex function, Schur-convexity, Schur geometric and Schur harmonic convexities of the dual form for a class of symmetric functions are simply proved. As an application, several inequalities are obtained, some of which extend the known ones. Mathematics subject classification (2010): 26D15, 0...
متن کاملOn the Slope of the Schur Functor of a Vector Bundle
We prove that, for any complex vector bundle E of rank e on a compact Kähler manifold X, we have that μ(SE) = |λ| μ(E) for any λ = (λ1, ..., λe−1) with λi ∈ N and λ1 ≥ ... ≥ λe−1, where |λ| = λ1 + ... + λe−1, the symbol S denotes the Schur functor and μ is the slope. This result has already been stated, without proof, by Ottaviani in 1995. AMS Subject Classification: 19L10, 55R10
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ژورنال
عنوان ژورنال: Selecta Mathematica
سال: 2014
ISSN: 1022-1824,1420-9020
DOI: 10.1007/s00029-014-0147-9